The Riccati Equation, Differential Transform, Rational Solutions and Applications
The Riccati Equation, Differential Transform, Rational Solutions and Applications作者机构：Department of Mathematics and Computer Sciences Marist College Poughkeepsie NY USA
出 版 物：《Applied Mathematics》 (应用数学（英文）)
年 卷 期：2022年第13卷第9期
页 面：774-792页
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
主 题：Riccati Equation Differential Transform Rational Solutions
摘 要：In this article, the Riccati Equation is considered. Various techniques of finding analytical solutions are explored. Those techniques consist mainly of making a change of variable or the use of Differential Transform. It is shown that the nonconstant rational functions whose numerator and denominator are of degree 1, cannot be solutions to the Riccati equation. Two applications of the Riccati equation are discussed. The first one deals with Quantum Mechanics and the second one deal with Physics.
维普期刊数据库