Numerical solution of second order Painleve differential equation

被引：12

作者：

Ahmad, Hijaz ^{[1
]}

Khan, Tufail A. ^{[1
]}

Yao, Shao-Wen ^{[2
]}

机构：

[1] Univ Engn & Technol, Dept Basic Sci, Peshawar, Pakistan

[2] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2020年 / 21卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Painleve equation; second order Painleve differential equation; VIA-I with AP; RK4; ALGORITHM;

D O I：

10.22436/jmcs.021.02.06

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the second order Painleve differential equation is solved by variational iteration algorithm-I with an auxiliary parameter (VI-I with AP), how to optimally find the auxiliary parameter and Pade approximates for the numerical solution are explained. The effectiveness and suitability of the proposed method are shown by solving two types of second order Painleve differential equation and the proposed method is compared with other methods to illustrate the accuracy and efficiency of the method.

引用

页码：150 / 157

页数：8

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