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Fast and Accurate Predictor-Corrector Methods Using Feedback-Accelerated Picard Iteration for Strongly Nonlinear Problems
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作者 xuechuan wang Wei He +1 位作者 Haoyang Feng Satya N.Atluri 《Computer Modeling in Engineering & Sciences》 SCIE EI 2024年第5期1263-1294,共32页
Although predictor-corrector methods have been extensively applied,they might not meet the requirements of practical applications and engineering tasks,particularly when high accuracy and efficiency are necessary.A no... Although predictor-corrector methods have been extensively applied,they might not meet the requirements of practical applications and engineering tasks,particularly when high accuracy and efficiency are necessary.A novel class of correctors based on feedback-accelerated Picard iteration(FAPI)is proposed to further enhance computational performance.With optimal feedback terms that do not require inversion of matrices,significantly faster convergence speed and higher numerical accuracy are achieved by these correctors compared with their counterparts;however,the computational complexities are comparably low.These advantages enable nonlinear engineering problems to be solved quickly and accurately,even with rough initial guesses from elementary predictors.The proposed method offers flexibility,enabling the use of the generated correctors for either bulk processing of collocation nodes in a domain or successive corrections of a single node in a finite difference approach.In our method,the functional formulas of FAPI are discretized into numerical forms using the collocation approach.These collocated iteration formulas can directly solve nonlinear problems,but they may require significant computational resources because of the manipulation of high-dimensionalmatrices.To address this,the collocated iteration formulas are further converted into finite difference forms,enabling the design of lightweight predictor-corrector algorithms for real-time computation.The generality of the proposed method is illustrated by deriving new correctors for three commonly employed finite-difference approaches:the modified Euler approach,the Adams-Bashforth-Moulton approach,and the implicit Runge-Kutta approach.Subsequently,the updated approaches are tested in solving strongly nonlinear problems,including the Matthieu equation,the Duffing equation,and the low-earth-orbit tracking problem.The numerical findings confirm the computational accuracy and efficiency of the derived predictor-corrector algorithms. 展开更多
关键词 Predictor-corrector method feedback-accelerated Picard iteration nonlinear dynamical system real-time computation
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聚氨酯交联改性工业明胶木材胶黏剂的制备与性能 被引量:6
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作者 王学川 王利红 +1 位作者 张思肖 刘新华 《高分子材料科学与工程》 EI CAS CSCD 北大核心 2020年第2期20-26,共7页
首先以异佛尔酮二异氰酸酯(IPDI)、聚四氢呋喃(PTMG)和2,4-二羟基苯甲醛(DBA)为原料制备了水性聚氨酯(DBA-WPU),再以此为交联剂,通过其分子链上的醛基与废弃皮革中提取的工业明胶(INGE)的氨基发生Schiff碱交联反应制得木材胶黏剂INGE/DB... 首先以异佛尔酮二异氰酸酯(IPDI)、聚四氢呋喃(PTMG)和2,4-二羟基苯甲醛(DBA)为原料制备了水性聚氨酯(DBA-WPU),再以此为交联剂,通过其分子链上的醛基与废弃皮革中提取的工业明胶(INGE)的氨基发生Schiff碱交联反应制得木材胶黏剂INGE/DBA-WPU。紫外光谱(UV-vis)、傅里叶变换红外光谱(FT-IR)和核磁分析(~1H-NMR)表明成功地将DBA引入到水性聚氨酯分子主链上,利用DBA分子链上的羟基与聚氨酯预聚体上的异氰酸酯基反应制备DBA-WPU交联剂。通过FT-IR、X射线衍射(XRD)、接触角、热重分析(TGA)和湿剪切强度对INGE/DBA-WPU黏合剂进行性能检测和结构表征。结果表明,DBA-WPU与INGE发生交联反应,使得胶黏剂的接触角和热稳定性提高。应用试验结果表明,当DBA-WPU用量为30%时,胶黏剂的湿剪切强度高达1.1 MPa,满足GB/T 9846.3-2004中Ⅱ类胶合板的使用要求(≥0.7 MPa),表明引入DBA-WPU可以提高INGE木材黏合剂的耐水性。 展开更多
关键词 工业明胶 聚氨酯 改性 木材胶黏剂
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A Unification of the Concepts of the Variational Iteration, Adomian Decomposition and Picard Iteration Methods;and a Local Variational Iteration Method 被引量:1
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作者 xuechuan wang Satya N.Atluri 《Computer Modeling in Engineering & Sciences》 SCIE EI 2016年第6期567-585,共19页
This paper compares the variational iteration method(VIM),the Adomian decomposition method(ADM)and the Picard iteration method(PIM)for solving a system of first o rder n onlinear o rdinary d ifferential e quations(ODE... This paper compares the variational iteration method(VIM),the Adomian decomposition method(ADM)and the Picard iteration method(PIM)for solving a system of first o rder n onlinear o rdinary d ifferential e quations(ODEs).A unification of the concepts underlying these three methods is attempted by considering a very general iterative algorithm for VIM.It is found that all the three methods can be regarded as special cases of using a very general matrix of Lagrange multipliers in the iterative algorithm of VIM.The global variational iteration method is briefly reviewed,and further recast into a Local VIM,which is much more convenient and capable of predicting long term complex dynamic responses of nonlinear systems even if they are chaotic. 展开更多
关键词 VARIATIONAL ITERATION METHOD Adomian decomposition METHOD PICARD ITERATION METHOD ASYMPTOTIC technique nonlinear DYNAMICAL system
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Bio-Inspired Gelatin-Based Adhesive Modified with Waterborne Polyurethane on Click Chemistry
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作者 xuechuan wang Wenying Zhao +2 位作者 Xugang Dang Yiqing wang Huijie Zhang 《Journal of Renewable Materials》 SCIE EI 2022年第11期2747-2763,共17页
As a non-toxic,highly reactive biomass material,gelatin is wildly used as the component of biomass-based adhesive.However,like most aqueous adhesives,gelatin-based adhesives suffer from long solidifying time or high s... As a non-toxic,highly reactive biomass material,gelatin is wildly used as the component of biomass-based adhesive.However,like most aqueous adhesives,gelatin-based adhesives suffer from long solidifying time or high solidifying temperature due to the low volatility of water,which highly limits the application potential of gelatinbased adhesives.Inspired by the fast adhesion of marine organisms through the formation of chemical crosslinks,herein,a kind of low temperature curable eco-friendly gelatin-based adhesive with good adhesive properties and fast curing at low temperature is developed by introducing clicking chemical Diels-Alder(DA)reaction between blocked waterborne polyurethane(MWPU)and gelatin.The furfuryl glycidyl ether(FGE)and 4-Maleimidophenol(4-HPM)for the DA reaction are grafted on gelatin,and the end-capping of MWPU,respectively.With the addition of MWPU and FGE,the cross-linking degree of gelatin increased,and the adhesion properties of the adhesive were improved.The shear strength and T-peel strength of the modified adhesive reached 0.95 MPa and 1.42 N/mm,respectively,after the curing time of 8 min at 40℃,which can meet the application requirements as adhesive for bio-medical use. 展开更多
关键词 GELATIN blocked waterborne polyurethane eco-friendly adhesive skin solid wastes
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Multifunctional electroactive bio-adhesive for robustly-integrated wound therapy and postoperative wound-status warning and assessment
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作者 Ouyang Yue xuechuan wang +6 位作者 Mengdi Hou Siwei Sun Manhui Zheng Xiaoliang Zou Zhongxue Bai Chunlin Liu Xinhua Liu 《Nano Research》 SCIE EI CSCD 2024年第5期4359-4370,共12页
Wound abnormalities such as secondary wound laceration and inflammation are common postoperative health hazards during clinical procedures.The continuous treatment,healing induction,and real-time visualization of woun... Wound abnormalities such as secondary wound laceration and inflammation are common postoperative health hazards during clinical procedures.The continuous treatment,healing induction,and real-time visualization of wound status and complications,including wound re-tearing,inflammation,and morphology,are key focal points for comprehensive healthcare.Herein,an on-demand quadruple energy dissipative strategy was proposed for the nanoengineering of a physically and chemically synergistic double-layer gelatin-based bio-adhesive(DLGel)by combining a multi-network adhesive layer and a versatile electroactive energy dissipative layer based on contrivable interlocking micro-pillar arrays and crosslinked polymer chains.The subtly multiple energy dissipation designs enable DLGel with robust adhesive strength to omnipotently wet and dynamic tissue,providing a basis for reliable wound closure.DLGel achieves comprehensive wound-healing induction through electrical stimulation and possesses reversible underwater light/thermal adhesion,excellent hemostatic performance,outstanding antimicrobial properties,and self-repair capability.Furthermore,a novel deep-learning strategy is creatively established to respond to mechanical deformation due to wound anomalies.This strategy translates biological information into visual graphics,providing real-time early warning and assessment of postoperative wound-abnormality/-morphology,such as laceration,inflammation,and necrosis.Therefore,DLGel and its associated signal collection and processing protocol enable the integration of reliable wound closure,wound healing,and real-time postoperative wound-status warning and assessment within the unobservable and undetectable“black box”regions in a context of non-clinical comprehensive therapy. 展开更多
关键词 electroactive bio-adhesive quadruple energy dissipation comprehensive wound therapy postoperative wound-status warning and assessment
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Fast and accurate adaptive collocation iteration method for orbit dynamic problems 被引量:1
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作者 Honghua DAI Zhe ZHANG +3 位作者 xuechuan wang Haoyang FENG Changtao wang Xiaokui YUE 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2023年第9期231-242,共12页
For over half a century,numerical integration methods based on finite difference,such as the Runge-Kutta method and the Euler method,have been popular and widely used for solving orbit dynamic problems.In general,a sm... For over half a century,numerical integration methods based on finite difference,such as the Runge-Kutta method and the Euler method,have been popular and widely used for solving orbit dynamic problems.In general,a small integration step size is always required to suppress the increase of the accumulated computation error,which leads to a relatively slow computation speed.Recently,a collocation iteration method,approximating the solutions of orbit dynamic problems iteratively,has been developed.This method achieves high computation accuracy with extremely large step size.Although efficient,the collocation iteration method suffers from two limitations:(A)the computational error limit of the approximate solution is not clear;(B)extensive trials and errors are always required in tuning parameters.To overcome these problems,the influence mechanism of how the dynamic problems and parameters affect the error limit of the collocation iteration method is explored.On this basis,a parameter adjustment method known as the“polishing method”is proposed to improve the computation speed.The method proposed is demonstrated in three typical orbit dynamic problems in aerospace engineering:a low Earth orbit propagation problem,a Molniya orbit propagation problem,and a geostationary orbit propagation problem.Numerical simulations show that the proposed polishing method is faster and more accurate than the finite-difference-based method and the most advanced collocation iteration method. 展开更多
关键词 Collocation iteration method Numerical integration method Orbit dynamics Parameter adjustment method Polishing method
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Electrochemical biomaterials for self-powered implantable“tissue batteries”:A tutorial review
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作者 Manhui Zheng xuechuan wang +3 位作者 Ouyang Yue Zhongxue Bai Boqiang Cui Xinhua Liu 《Nano Research》 SCIE EI CSCD 2023年第4期5447-5463,共17页
Currently,due to improvements in living standards,people are paying more attention to all-around disease prevention and health care.Self-powered implantable“tissue batteries”integrated with electrochemical materials... Currently,due to improvements in living standards,people are paying more attention to all-around disease prevention and health care.Self-powered implantable“tissue batteries”integrated with electrochemical materials are essential for disease prevention,diagnosis,treatment,postoperative therapy,and healthcare applications.We propose and define new concepts of“tissue batteries”-self-powered tissue batteries(SPTBs)-are flexible self-powered implantable systems or platforms based on electroactive biomaterials,acting at the interface of biological tissue.Based on the electrical phenomenon of living organisms in life activities,there has been an increased attention to SPTBs for tissue repair promotion.SPTBs take advantages of both the preeminent biocompatibility of biomaterials and the promotion of time-honored electrical stimulation therapy for tissue recovery,which are very promising for human illness treatment.However,studies on clinical applications of SPTBs are impeded by a lack of comprehensive cognitive assessment of SPTBs.Herein,SPTBs for life and health applications are comprehensively reviewed.First,electrochemical materials and their across-the-board applications for several types of SPTBs are introduced and compared with regard to disease prevention,diagnosis,precision therapy,and personalized health monitoring.Then,the potential mechanisms for SPTBs for tissue repair promotion are discussed.Finally,the prospective challenges are summarized and recommendations for future research are provided.This review elucidates on the significance and versatility of SPTBs for various medical applications. 展开更多
关键词 electrochemical biomaterials SELF-POWERED IMPLANTABLE tissue batteries medical applications
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有机小分子荧光探针对甲醛的识别及其应用 被引量:3
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作者 王学川 王岩松 +1 位作者 韩庆鑫 孙晓龙 《化学进展》 SCIE CAS CSCD 北大核心 2021年第9期1496-1510,共15页
甲醛不仅用作工业化学品,也是调节人体生理活动的必要代谢产物。但是,人体从外环境过量的摄入甲醛或者内环境甲醛代谢的不平衡,会造成器官癌变和老年痴呆等重大疾病。有机小分子荧光探针以其高灵敏度、高选择性、可视化和原位检测等特点... 甲醛不仅用作工业化学品,也是调节人体生理活动的必要代谢产物。但是,人体从外环境过量的摄入甲醛或者内环境甲醛代谢的不平衡,会造成器官癌变和老年痴呆等重大疾病。有机小分子荧光探针以其高灵敏度、高选择性、可视化和原位检测等特点,使其在生物体内外甲醛检测和生物成像领域具有应用优势,同时也为实际产品中甲醛的痕量检测提供一种新方法。近五年来,甲醛荧光探针得到了快速的发展。本文主要从甲醛荧光探针的反应类型、生物体中甲醛的荧光成像以及在实际样品(商品)检测应用三个方面,介绍有机小分子荧光探针对甲醛的识别和应用。最后总结指出,不同类型的有机小分子荧光探针在不断开发、结构优化和光学性能提升及满足辅助生物医学方向长期性研究的同时,也能拓展应用范围,达到短期内对实际产品中甲醛快速(原位)检测的目的。 展开更多
关键词 甲醛 荧光探针 反应机理 生物成像 实际应用
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Leather for flexible multifunctional bio-based materials: a review 被引量:1
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作者 Zhongxue Bai xuechuan wang +8 位作者 Manhui Zheng Ouyang Yue Long Xie Siyu Zha Shuyin Dong Tong Li Yanyan Song Mengchen Huang Xinhua Liu 《Journal of Leather Science and Engineering》 2022年第1期225-240,共16页
Nowadays, diverse leather usage conditions and increasing demands from consumers challenge the leather industry. Traditional leather manufacturing is facing long-term challenges, including low-value threshold, confine... Nowadays, diverse leather usage conditions and increasing demands from consumers challenge the leather industry. Traditional leather manufacturing is facing long-term challenges, including low-value threshold, confined applica-tion fields, and environmental issues. Leather inherits all the biomimetic properties of natural skin such as flexibility, sanitation, cold resistance, biocompatibility, biodegradability, and other cross-domain functions, achieving unre-mitting attention in multi-functional bio-based materials. Series of researches have been devoted to creating and developing leather-based flexible multi-functional bio-materials, including antibacterial leather, conductive leather, flame-retardant leather, self-cleaning leather, aromatic leather, and electromagnetic shielding leather. In this review, we provide a comprehensive overview of the commonly used leather-based functional materials. Furthermore, the possible challenges for the development of functional leathers are proposed, and expected development directions of leather-based functional materials are discussed. This review may promote and inspire the emerging preparation and applications of leather for flexible functional bio-based materials. 展开更多
关键词 Bio-based materials Functional leather LEATHER-MAKING Leather chemicals
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Application of amphoteric polymers in the process of leather post-tanning
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作者 xuechuan wang Siwei Sun +4 位作者 Xing Zhu Peiying Guo Xinhua Liu Chunlin Liu Meng Lei 《Journal of Leather Science and Engineering》 2021年第1期100-108,共9页
With the characteristics of controllable charge and environmental friendliness,amphoteric polymers can be used in post-tanning process to solve the problems that arise during leather making and are caused by the low a... With the characteristics of controllable charge and environmental friendliness,amphoteric polymers can be used in post-tanning process to solve the problems that arise during leather making and are caused by the low absorption rate of single-charge chemicals,incompatibility with new tanning methods,and complex operation process.In this review,the structure,performance,and preparation of amphoteric polymers are reported.Then,the charge change of collagen during different tanning and pH treatments is introduced.Finally,the application and development of amphoteric polymers during the post-tanning process of leather making are discussed.This review has certain guiding significance to the preparation and application of amphoteric polymers for tanning system. 展开更多
关键词 Amphoteric polymer Leather making Post-tanning Research and application PROGRESS
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