Adomian Decomposition Method with Green’s Function for Solving Tenth-Order Boundary Value Problems

• 作者: Waleed Al-Hayani
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Adomian DECOMPOSITION Method Adomian’s POLYNOMIALS Tenth-Order Boundary Value Problems Green’s Function
• 年，卷（期）: 2014,（10）
• 页码范围: 1437-1447
• 页数: 11页
• 分类号: O1

摘要

In this paper, the Adomian decomposition method with Green’s function (Standard Adomian and Modified Technique) is applied to solve linear and nonlinear tenth-order boundary value problems with boundary conditions defined at any order derivatives. The numerical results obtained with a small amount of computation are compared with the exact solutions to show the efficiency of the method. The results show that the decomposition method is of high accuracy, more convenient and efficient for solving high-order boundary value problems.