THE SUCCESSIVE DIFFERENTIATION METHOD FOR SOLVING BRATU EQUATION AND BRATU-TYPE EQUATIONS

被引：0
|
作者：
Wazwaz, Abdul-Majid [1 ]
机构：
[1] St Xavier Univ, Dept Math, Chicago, IL 60655 USA
来源：
ROMANIAN JOURNAL OF PHYSICS | 2016年 / 61卷 / 5-6期
关键词：
Successive differentiation method; Taylor series; Bratu equation; ADOMIAN DECOMPOSITION METHOD;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this work, we apply the successive differentiation method for solving the nonlinear Bratu problem and a variety of Bratu-type equations. We use the successive differentiation of any linear or nonlinear ordinary differential equation to determine the values of the function's derivatives at x = 0. The Taylor series of the solution can be established by using the derived coefficients. The algorithm handles the problem in a direct manner without any need to restrictive assumptions. We emphasize the power of the method by applying it to Bratu equation and a variety of Bratu-type equations.
引用
收藏
页码：774 / 783
页数：10
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