摘要
首先,针对一类特殊的黎卡提方程,提出一种求其逼近解的方法,得到了该方程逼近解的表达式.其次,基于该方法,并利用换元法,得到了另一类黎卡提方程的逼近解.最后,讨论了逼近解的收敛性问题.
Firstly, A method for finding approximate solutions for a type of Riccati equations is presented, and the expression of the approximate solution is obtained. Secondly, by using the method of substitution, the approximate solution of another type of Riecati equations is given based on the method. Finally, the convergence of approximate solutions is discussed,
出处
《天津师范大学学报(自然科学版)》
CAS
2016年第1期14-16,共3页
Journal of Tianjin Normal University:Natural Science Edition
关键词
黎卡提方程
逼近解
待定函数
换元法
收敛性
Riccati equation
approximate solution
undetermined function
method of substitution
convergence