期刊文献+
共找到184篇文章
< 1 2 10 >
每页显示 20 50 100
The joint Laplace transforms for killed diffusion occupation times
1
作者 LI Ying-qiu CHEN Ye 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2024年第3期398-415,共18页
The approach of Li and Zhou(2014)is adopted to find the Laplace transform of occupation time over interval(0,a)and joint occupation times over semi-infinite intervals(-∞,a)and(b,∞)for a time-homogeneous diffusion pr... The approach of Li and Zhou(2014)is adopted to find the Laplace transform of occupation time over interval(0,a)and joint occupation times over semi-infinite intervals(-∞,a)and(b,∞)for a time-homogeneous diffusion process up to an independent exponential time e_(q)for 0<a<b.The results are expressed in terms of solutions to the differential equations associated with the diffusion generator.Applying these results,we obtain explicit expressions on the Laplace transform of occupation time and joint occupation time for Brownian motion with drift. 展开更多
关键词 time-homogeneous diffusion process occupation time joint occupation time laplace transform Brownian motion with drift
下载PDF
On Fuzzy Conformable Double Laplace Transform with Applications to Partial Differential Equations
2
作者 Thabet Abdeljawad Awais Younus +1 位作者 Manar A.Alqudah Usama Atta 《Computer Modeling in Engineering & Sciences》 SCIE EI 2023年第3期2163-2191,共29页
The Laplace transformation is a very important integral transform,and it is extensively used in solving ordinary differential equations,partial differential equations,and several types of integro-differential equation... The Laplace transformation is a very important integral transform,and it is extensively used in solving ordinary differential equations,partial differential equations,and several types of integro-differential equations.Our purpose in this study is to introduce the notion of fuzzy double Laplace transform,fuzzy conformable double Laplace transform(FCDLT).We discuss some basic properties of FCDLT.We obtain the solutions of fuzzy partial differential equations(both one-dimensional and two-dimensional cases)through the double Laplace approach.We demonstrate through numerical examples that our proposed method is very successful and convenient for resolving partial differential equations. 展开更多
关键词 Fuzzy conformable laplace transform fuzzy double laplace transform fuzzy conformable double laplace transform fuzzy conformable partial differential equation
下载PDF
On the Approximation of Fractal-Fractional Differential Equations Using Numerical Inverse Laplace Transform Methods
3
作者 Kamran Siraj Ahmad +2 位作者 Kamal Shah Thabet Abdeljawad Bahaaeldin Abdalla 《Computer Modeling in Engineering & Sciences》 SCIE EI 2023年第6期2743-2765,共23页
Laplace transform is one of the powerful tools for solving differential equations in engineering and other science subjects.Using the Laplace transform for solving differential equations,however,sometimes leads to sol... Laplace transform is one of the powerful tools for solving differential equations in engineering and other science subjects.Using the Laplace transform for solving differential equations,however,sometimes leads to solutions in the Laplace domain that are not readily invertible to the real domain by analyticalmeans.Thus,we need numerical inversionmethods to convert the obtained solution fromLaplace domain to a real domain.In this paper,we propose a numerical scheme based on Laplace transform and numerical inverse Laplace transform for the approximate solution of fractal-fractional differential equations with orderα,β.Our proposed numerical scheme is based on three main steps.First,we convert the given fractal-fractional differential equation to fractional-differential equation in Riemann-Liouville sense,and then into Caputo sense.Secondly,we transformthe fractional differential equation in Caputo sense to an equivalent equation in Laplace space.Then the solution of the transformed equation is obtained in Laplace domain.Finally,the solution is converted into the real domain using numerical inversion of Laplace transform.Three inversion methods are evaluated in this paper,and their convergence is also discussed.Three test problems are used to validate the inversion methods.We demonstrate our results with the help of tables and figures.The obtained results show that Euler’s and Talbot’s methods performed better than Stehfest’s method. 展开更多
关键词 Fractal-fractional differential equation power law kernel exponential decay kernel Mittag-Leffler kernel laplace transform Euler’s method Talbot’s method Stehfest’s method
下载PDF
QUATERNIONIC SLICE REGULAR FUNCTIONS AND QUATERNIONIC LAPLACE TRANSFORMS
4
作者 韩刚 《Acta Mathematica Scientia》 SCIE CSCD 2023年第1期289-302,共14页
The functions studied in the paper are the quaternion-valued functions of a quaternionic variable.It is shown that the left slice regular functions and right slice regular functions are related by a particular involut... The functions studied in the paper are the quaternion-valued functions of a quaternionic variable.It is shown that the left slice regular functions and right slice regular functions are related by a particular involution,and that the intrinsic slice regular functions play a central role in the theory of slice regular functions.The relation between left slice regular functions,right slice regular functions and intrinsic slice regular functions is revealed.As an application,the classical Laplace transform is generalized naturally to quaternions in two different ways,which transform a quaternion-valued function of a real variable to a left or right slice regular function.The usual properties of the classical Laplace transforms are generalized to quaternionic Laplace transforms. 展开更多
关键词 left slice regular function intrinsic slice regular function quaternionic laplace transform
下载PDF
The New Inversion of Laplace Transform
5
作者 Andrey Pavlov V. 《Journal of Mathematics and System Science》 2014年第3期197-201,共5页
The new inversion formula of the Laplace transform is considered. In the formula we use only the positive values ofx SiCoLT(x) = c S(x), L(S(x)) = T(x), c = const., x 〉 O,from the real axis. Si is the sinus... The new inversion formula of the Laplace transform is considered. In the formula we use only the positive values ofx SiCoLT(x) = c S(x), L(S(x)) = T(x), c = const., x 〉 O,from the real axis. Si is the sinus transform, Co is the cosines transform of Fourier and L is the Laplace transform. 展开更多
关键词 laplace transform new inversion formula of laplace transform evenness of laplace transform integral transform ofFourier
下载PDF
Laplace Transformation and Ergodic Potential Kernel for q-Process in Random Environment 被引量:2
6
作者 LU Ping HU Dihe 《Wuhan University Journal of Natural Sciences》 CAS 2007年第2期218-224,共7页
This paper introduces some concepts such as q- process in random environment, Laplace transformation, ergodic potential kernel, error function and some basic lemmas.We study the continuity and Laplace transformation o... This paper introduces some concepts such as q- process in random environment, Laplace transformation, ergodic potential kernel, error function and some basic lemmas.We study the continuity and Laplace transformation of random transition function. Finally, we give the sufficient condition for the existence of ergodic potential kernel for homogeneous q- processes in random environments. 展开更多
关键词 random transition function transition density func-tion in random environment q-process in random environment laplace transformation ergodic potential kernel
下载PDF
APPLICATIONS OF HAMILTONIAN AND LAPLACE TRANSFORM IN AN ECONOMIC MODEL 被引量:1
7
作者 龚六堂 《Acta Mathematica Scientia》 SCIE CSCD 2000年第4期442-450,共9页
This paper analyzes the long-run effects and short-run effects of foreign aid on the domestic economy by using the Hamilton system and Laplace transform. It is found that an increase in the foreign aid has no long-run... This paper analyzes the long-run effects and short-run effects of foreign aid on the domestic economy by using the Hamilton system and Laplace transform. It is found that an increase in the foreign aid has no long-run effect on the foreigll borrowing, domestic capital accumulation and the foreign direct investment in the home country, but increases the steady-state consumption level the same amount. However, the short-run analysis presents that increasing foreign aid does not affect the initial consumptioll level and the initial consumption increase rate; but it affects the initial savings positively. 展开更多
关键词 Hamilton system laplace transform foreign aid capital accumulation
下载PDF
Boundary Element Analysis (Laplace Transform Solution) of Groundwater Unsteady Flow to a Multiple Well System in a Confined Aquifer 被引量:1
8
作者 Zhu Xueyu Xie Chunhong Zou Zeyuan Nanjing University, Nanjing, Jiangsu 《Acta Geologica Sinica(English Edition)》 SCIE CAS CSCD 1990年第1期93-99,共7页
The calculations of unsteady flow to a multiple well system with the application of boundary elementmethod (BEM) are discussed. The mathematical model of unsteady well flow is a boundary value problem ofparabolic diff... The calculations of unsteady flow to a multiple well system with the application of boundary elementmethod (BEM) are discussed. The mathematical model of unsteady well flow is a boundary value problem ofparabolic differential equation. It is changed into an elliptic one by Laplace transform to eliminate time varia-ble. The image function of water head H can be solved by BEM. We derived the boundary integral equation ofthe transformed variable H and the discretization form of it, so that there is no need to discretize the bounda-ries of well walls and it becomes easier to solve the groundwater head H by numerical inversion. 展开更多
关键词 of Groundwater Unsteady Flow to a Multiple Well System in a Confined Aquifer laplace transform Solution Boundary Element Analysis FLOW
下载PDF
THE EXTENDED JORDAN'S LEMMA AND THE RELATION BETWEEN LAPLACE TRANSFORM AND FOURIER TRANSFORM 被引量:1
9
作者 魏志勇 诸永泰 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1997年第6期571-574,共4页
Jordan's lemma can be used for a wider range than the original one. The extended Jordan's lemma can be described as follows. Let f(z) be analytic in the upper half of the z plane (Imz≥0), with the exception o... Jordan's lemma can be used for a wider range than the original one. The extended Jordan's lemma can be described as follows. Let f(z) be analytic in the upper half of the z plane (Imz≥0), with the exception of a finite number of isolated singularities, and for P>o, if then where z=Rei and CR is the open semicircle in the upper half of the z plane.With the extended Jordan's lemma one can find that Laplace transform and Fourier transform are a pair of integral transforms which relate to each other. 展开更多
关键词 extended Jordan's lemma laplace transform Fourier transform complex variable function
下载PDF
Analysis of Transient Pulse Electroosmotic Flow of Maxwell Fluid through a Circular Micro-Channel Using Laplace Transform Method 被引量:1
10
作者 Dongsheng Li Kun Li 《Open Journal of Fluid Dynamics》 2021年第2期67-80,共14页
A semi-analytical solution is presented using method of Laplace transform for the transient pulse electroosmotic flow (EOF) of Maxwell fluid in a circular micro-channel. The driving mode of pulse EOF here is considere... A semi-analytical solution is presented using method of Laplace transform for the transient pulse electroosmotic flow (EOF) of Maxwell fluid in a circular micro-channel. The driving mode of pulse EOF here is considered as an ideal rectangle pulse. The solution involves solving the linearized Poisson-Boltzmann (P-B) equation, together with the Cauchy momentum equation and the general Maxwell constitutive equation. The results show that the profiles of pulse EOF velocity vary rapidly and gradually stabilize as the increase of time <img src="Edit_440fb0f5-5539-4a78-8311-93b2664c8117.png" alt="" /> within a half period. The velocity profiles at the center of the micro-channel increase significantly with relaxation time <img src="Edit_ffb813ed-0046-40bc-95e6-76057f46ce32.png" alt="" />, especially for the smaller pulse width <em>a</em>. However, as the pulse width <em>a </em>increases, this change will be less obvious. At the same time, the different change frequency of velocity profiles will slow down, which means a long cycle time. Additionally, the time needed to attain the steady status becomes longer with the increase of relaxation time <img src="Edit_d1b31535-84c1-417e-b987-6ca53ab1616b.png" alt="" /> and pulse width <em>a</em>. 展开更多
关键词 Pulse Electroosmotic Flow laplace transform Maxwell Fluid Relaxation Time Pulse Width
下载PDF
Relativistic effect of pseudospin symmetry and tensor coupling on the Mie-type potential via Laplace transformation method
11
作者 M.Eshghi S.M.Ikhdair 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第12期44-49,共6页
A relativistic Mie-type potential for spin-1/2 particles is studied. The Dirac Hamiltonian contains a scalar S(r) and a vector V(r) Mie-type potential in the radial coordinates, as well as a tensor potential U(r... A relativistic Mie-type potential for spin-1/2 particles is studied. The Dirac Hamiltonian contains a scalar S(r) and a vector V(r) Mie-type potential in the radial coordinates, as well as a tensor potential U(r) in the form of Coulomb potential. In the pseudospin(p-spin) symmetry setting Σ = Cps and Δ = V(r), an analytical solution for exact bound states of the corresponding Dirac equation is found. The eigenenergies and normalized wave functions are presented and particular cases are discussed with any arbitrary spin–orbit coupling number κ. Special attention is devoted to the caseΣ = 0 for which p-spin symmetry is exact. The Laplace transform approach(LTA) is used in our calculations. Some numerical results are obtained and compared with those of other methods. 展开更多
关键词 Dirac equation Mie-type potential laplace transform approach tensor interaction p-spin symmetry
原文传递
LAPLACE TRANSFORMS FOR ANALYTIC FUNCTIONS IN TUBULAR DOMAINS
12
作者 Guantie DENG Qian FU Hui CAO 《Acta Mathematica Scientia》 SCIE CSCD 2021年第6期1938-1948,共11页
Assume that 0<p<∞ and that B is a connected nonempty open set in R^(n),and that A^(p)(B)is the vector space of all holomorphic functions F in the tubular domains R^(n)+iB such that for any compact set K⊂B,‖ y... Assume that 0<p<∞ and that B is a connected nonempty open set in R^(n),and that A^(p)(B)is the vector space of all holomorphic functions F in the tubular domains R^(n)+iB such that for any compact set K⊂B,‖ y →‖x →F(x+iy)‖Lp(R^(n))‖ L(K)<∞,so A^(p)(B)is a Frechet space with the Heine-Borel property,its topology is induced by a complete invariant metric,is not locally bounded,and hence is not normal.Furthermore,if 1≤p≤2,then the element F of A^(p)(B)can be written as a Laplace transform of some function f∈L(R^(n)). 展开更多
关键词 laplace transforms Fourier transform tubular domain regular cone
下载PDF
SUMMATION OF FOURIER SERIES WITH PARAMETER BY LAPLACE TRANSFORMS
13
作者 卜小明 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1993年第9期859-866,共8页
The theorems concerning the summation of Fourier series with parameter were given by using Laplace transforms. By means of the known result of Laplace transforms, many new, important problems of summation of Fourier s... The theorems concerning the summation of Fourier series with parameter were given by using Laplace transforms. By means of the known result of Laplace transforms, many new, important problems of summation of Fourier series with parameter in mechanics can be solved. 展开更多
关键词 ANALYSIS laplace transforms POLYNOMIALS
下载PDF
JACOBI POLYNOMIALS USED TO INVERT THE LAPLACE TRANSFORM
14
作者 A.Al-Shuaibi F.Al-Rawjih 《Analysis in Theory and Applications》 2004年第1期28-34,共7页
Given the Laplace transform F(s) of a function f(t), we develop a new algorithm to find on approximation to f(t) by the use of the dassical Jacobi polynomials. The main contribution of our work is the development of a... Given the Laplace transform F(s) of a function f(t), we develop a new algorithm to find on approximation to f(t) by the use of the dassical Jacobi polynomials. The main contribution of our work is the development of a new and very effective method to determine the coefficients in the finite series ex-pansion that approximation f(t) in terms of Jacobi polynomials. Some numerical examples are illustrated. 展开更多
关键词 Inverse laplace transform Jacobi polynomials Integral transforms Ill-posed problems
下载PDF
LAPLACE TRANSFORM OF THE SURVIVAL PROBABILITY UNDER SPARRE ANDERSEN MODEL
15
作者 Sun Chuanguang 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2007年第1期109-118,共10页
In this paper a class of risk processes in which claims occur as a renewal process is studied. A clear expression for Laplace transform of the survival probability is well given when the claim amount distribution is E... In this paper a class of risk processes in which claims occur as a renewal process is studied. A clear expression for Laplace transform of the survival probability is well given when the claim amount distribution is Erlang distribution or mixed Erlang distribution. The expressions for moments of the time to ruin with the model above are given. 展开更多
关键词 Andersen model survival probability laplace transform Lundberg's fundamental equation.
下载PDF
Contrast Enhancement Using Weighted Coupled Histogram Equalization with Laplace Transform
16
作者 Huimin Hao Wenbin Xin +4 位作者 Minglong Bu He Wang Yuan Lan Xiaoyan Xiong Jiahai Huang 《Journal of Harbin Institute of Technology(New Series)》 CAS 2022年第4期32-40,共9页
Histogram equalization is a traditional algorithm improving the image contrast,but it comes at the cost of mean brightness shift and details loss.In order to solve these problems,a novel approach to processing foregro... Histogram equalization is a traditional algorithm improving the image contrast,but it comes at the cost of mean brightness shift and details loss.In order to solve these problems,a novel approach to processing foreground pixels and background pixels independently is proposed and investigated.Since details are mainly contained in the foreground,the weighted coupling of histogram equalization and Laplace transform were adopted to balance contrast enhancement and details preservation.The weighting factors of image foreground and background were determined by the amount of their respective information.The proposed method was conducted to images acquired from CVG⁃UGR and US⁃SIPI image databases and then compared with other methods such as clipping histogram spikes,histogram addition,and non⁃linear transformation to verify its validity.Results show that the proposed algorithm can effectively enhance the contrast without introducing distortions,and preserve the mean brightness and details well at the same time. 展开更多
关键词 contrast enhancement weighted processing histogram equalization laplace transform
下载PDF
On the Laplace transform of delta function
17
作者 罗光 MA Yan-mei YANG Hui-qun 《Journal of Chongqing University》 CAS 2013年第1期49-52,共4页
Delta function is an important function in mathematics and physics. In this paper, the Laplace transforms of δ(t)and δ(t-τ)have been discussed in detail. After the Laplace transform of δ(t)is analyzed, the author ... Delta function is an important function in mathematics and physics. In this paper, the Laplace transforms of δ(t)and δ(t-τ)have been discussed in detail. After the Laplace transform of δ(t)is analyzed, the author has found that three aspects should be taken into account, i.e. τ→0+, τ→0- andτ=0; and it is the same with the Laplace transform of δ(t-τ). Then the results of the Laplace transform of Delta function have been obtained in a rigorous and comprehensive sense. 展开更多
关键词 delta function laplace transform unit impulse function
下载PDF
Laplace Transform Method Applied to Solve Fractional Difference Equations
18
作者 李晓艳 项江如 吴亚运 《Chinese Quarterly Journal of Mathematics》 2015年第1期121-129,共9页
In this paper, we discuss the Laplace transform of the Caputo fractional dierence and the fractional discrete Mittag-Leer functions. On these bases, linear and nonlinear fractional initial value problems are solved by... In this paper, we discuss the Laplace transform of the Caputo fractional dierence and the fractional discrete Mittag-Leer functions. On these bases, linear and nonlinear fractional initial value problems are solved by the Laplace transform method. 展开更多
关键词 discrete fractional calculus discrete fractional equation laplace transform Mittag-Leffler functions
下载PDF
The Numerical Inversion of the Laplace Transform in a Multi-Precision Environment
19
作者 Colin L. Defreitas Steve J. Kane 《Applied Mathematics》 2022年第5期401-418,共18页
This paper examines the performance of five algorithms for numerically inverting the Laplace transform, in standard, 16-digit and multi-precision environments. The algorithms are taken from three of the four main clas... This paper examines the performance of five algorithms for numerically inverting the Laplace transform, in standard, 16-digit and multi-precision environments. The algorithms are taken from three of the four main classes of numerical methods used to invert the Laplace transform. Because the numerical inversion of the Laplace transform is a perturbed problem, rounding errors which are generated in numerical approximations can adversely affect the accurate reconstruction of the inverse transform. This paper demonstrates that working in a multi-precision environment can substantially reduce these errors and the resulting perturbations exist in transforming the data from the s-space into the time domain and in so doing overcome the main drawback of numerically inverting the Laplace transform. Our main finding is that both the Talbot and the accelerated Gaver functionals perform considerably better in a multi-precision environment increasing the advantages of using Laplace transform methods over time-stepping procedures in solving diffusion and more generally parabolic partial differential equations. 展开更多
关键词 laplace transform PERTURBATION Numerical Inversion Multi-Precision Stehfest Talbot
下载PDF
Laplace Transform, Non-Constant Coefficients Differential Equations and Applications to Riccati Equation
20
作者 Malick Ndiaye 《Applied Mathematics》 2020年第7期639-649,共11页
In this paper, the Laplace Transform is used to find explicit solutions of a fam-ily of second order Differential Equations with non-constant coefficients. For some of these equations, it is possible to find the solut... In this paper, the Laplace Transform is used to find explicit solutions of a fam-ily of second order Differential Equations with non-constant coefficients. For some of these equations, it is possible to find the solutions using standard tech-niques of solving Ordinary Differential Equations. For others, it seems to be very difficult indeed impossible to find explicit solutions using traditional methods. The Laplace transform could be an alternative way. An application on solving a Riccati Equation is given. Recall that the Riccati Equation is a non-linear differential equation that arises in many topics of Quantum Me-chanics and Physics. 展开更多
关键词 Ordinary Differential Equations laplace transform
下载PDF
上一页 1 2 10 下一页 到第
使用帮助 返回顶部