A New Technique for Solving a Class of Nonlinear Initial-Boundary Value Problems

被引：0
|
作者：
Abo-Elenin, A. S. [1 ]
El-Shazly, E. S. [1 ]
El-Kalla, I. L. [2 ]
机构：
[1] Misr Higher Inst Engn & Technol, Basic Sci Dept, Mansoura 35516, Egypt
[2] Mansoura Univ, Fac Engn, Dept Math, Mansoura 35516, Egypt
来源：
ENGINEERING LETTERS | 2023年 / 31卷 / 04期
关键词：
adomian series; convergence of the series; new technique; NIBVPs; HOMOTOPY ANALYSIS METHOD; DECOMPOSITION METHOD;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, a new technique for solving a class of Nonlinear Initial-Boundary Value Problems (NIBVPs) is introduced. The main advantage of this technique is that it utilizes both initial and boundary conditions in the Adomian series solution and consequently, an accurate approximate solution is obtained in both temporal and spatial directions. The sufficient condition that guarantees a unique solution is obtained. Convergence of the series solution is proved and the truncated error is estimated. Some numerical examples are discussed to illustrate the effectiveness of the proposed technique.
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页码：1675 / 1683
页数：9
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