Adomian Decomposition Method and Block by Block Method for Solving Nonlinear Functional Volterra Integral Equation in Two-Dimensions

被引：0
|
作者：
Al-Bugami, Abeer M. [1 ]
机构：
[1] Taif Univ, Coll Sci, Dept Math & Stat, POB 11099, Taif 21944, Saudi Arabia
来源：
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2024年 / 17卷 / 02期
关键词：
Functional Integral Equation; Adomian Decomposition Method; Block by block Method; COLLOCATION-TYPE METHOD;
D O I：
10.29020/nybg.ejpam.v17i2.5087
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This work proposes a new definition of the nonlinear functional Volterra integral equation in two -dimensions (2D)of the second kind with continuous kernel. Furthermore, the work is concerned with studying this new equation numerically. The existence of a unique solution preposition by the equation is proven. In addition, the approximate solutions are obtained by two powerful methods Adomian Decomposition method (ADM) and Block by block Method (BBM). The given numerical examples showed the efficiency and accuracy of the introduced methods.
引用
收藏
页码：1070 / 1081
页数：12
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