Numerical Treatment of Initial Value Problems of Nonlinear Ordinary Differential Equations by Duan-Rach-Wazwaz Modified Adomian Decomposition Method

• 作者: ?mür Umut Serpil Ya?ar
• 来源期刊: 现代非线性理论与应用(英文)
• 学科: 数学
• 关键词: Adomian DECOMPOSITION METHOD Duan-Rach-Wazwaz Modified Adomian DECOMPOSITION METHOD Initial Value Problem Nonlinear Ordinary Differential Equation Mathematica Solution 4-th Order Runge Kutta METHOD Padé APPROXIMANTS
• 年，卷（期）: 2019,（1）
• 页码范围: 17-39
• 页数: 23页
• 分类号: O1

摘要

We employ the Duan-Rach-Wazwaz modified Adomian decomposition method for solving initial value problems for the systems of nonlinear ordinary differential equations numerically. In order to confirm practicality, robustness and reliability of the method, we compare the results from the modified Adomian decomposition method with those from the MATHEMATICA solutions and also from the fourth-order Runge Kutta method solutions in some cases. Furthermore, we apply Padé approximants technique to improve the solutions of the modified decomposition method whenever the exact solutions exist.