Comparison of fuzzy Adomian decomposition method with fuzzy VIM for solving fuzzy heat-like and wave-like equations with variable coefficients

被引：17

作者：

Osman, Mawia ^{[1
]}

Gong, Zengtai ^{[1
]}

Mustafa, Altyeb Mohammed ^{[1
,2
]}

机构：

[1] Northwest Normal Univ, Coll Math & Stat, Lanzhou, Gansu, Peoples R China

[2] Univ Khartoum, Fac Math Sci, Dept Appl Math, Khartoum, Sudan

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Fuzzy numbers; Fuzzy-valued functions; gH-differentiability; Fuzzy Adomian decomposition method; Fuzzy variational iteration method; Fuzzy heat-like and wave-like equations; PARTIAL-DIFFERENTIAL-EQUATIONS; VARIATIONAL ITERATION METHOD; NUMERICAL-SOLUTIONS; EXTENSION; CALCULUS;

D O I：

10.1186/s13662-020-02784-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we investigate the fuzzy Adomian decomposition method (ADM) and fuzzy variational iteration method (VIM) applied to solving fuzzy heat-like and wave-like equations with variable coefficients, in the sense of gH-differentiability. The methods clearly are very efficient and powerful techniques in finding the solutions to the proposed equations. We also illustrate them by some examples. The results reveal that the methods are very effective, convenient, and accurate mathematical tools for solving fuzzy heat-like and wave-like equations with variable coefficients.

引用

页数：42

共 58 条

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