A new procedure with iteration methods to solve a nonlinear two dimensional Bogoyavlensky-Konopelchenko equation

被引：3

作者：

Mohammed, Amal Jasim ^{[1
]}

Qasim, Ahmed Farooq ^{[2
]}

机构：

[1] Univ Mosul, Coll Educ Pure Sci, Dept Math, Mosul, Iraq

[2] Univ Mosul, Coll Comp Sci & Math, Dept Math, Mosul, Iraq

来源：

JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2022年 / 25卷 / 02期

关键词：

New iteration method; Homotopy analysis method; Genetic Algorithm; Nonlinear partial differential equation; Bogoyavlensky-Konopelchenko equation; LUMP SOLUTIONS; TRANSFORM METHOD; ALGORITHM; SYSTEM;

D O I：

10.1080/09720502.2021.2000156

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

New iteration and Homotopy analysis methods are used to obtain the approximate solution to the nonlinear two dimensional Bogoyavlensky-Konopelchenko equation. A procedure called Multi-objective Genetic algorithm is used to find the right nonlinear coefficients for the two dimensional partial differential equation. The numerical simulations of the techniques in this paper and the outcomes which are compared with the exact solution are sufficient to show the effectivness of this technique.

引用

页码：537 / 552

页数：16

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