An Efficient Decomposition Method for Solving Bratu’s Boundary Value Problem

• 作者: Ahlam Al-Mutairi Kholoud Al-Zahrani Mariam Al-Mazmumy
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: Adomian DECOMPOSITION METHOD Restarted Adomian METHOD Bratu’s BOUNDARY VALUE Problem
• 年，卷（期）: 2017,（1）
• 页码范围: 84-93
• 页数: 10页
• 分类号: O1

摘要

The purpose of this paper is to employ the Adomian Decomposition Method (ADM) and Restarted Adomian Decomposition Method (RADM) with new useful techniques to resolve Bratu’s boundary value problem by using a new integral operator. The solutions obtained in this way require the use of the boundary conditions directly. The obtained results indicate that the new techniques give more suitable and accurate solutions for the Bratu-type problem, compared with those for the ADM and its modification.