Solutions of fuzzy advection-diffusion and heat equations by natural adomian decomposition method

被引：6

作者：

Jamal, Noor ^{[1
]}

Sarwar, Muhammad ^{[1
]}

Agarwal, Parveen ^{[2
,3
]}

Mlaiki, Nabil ^{[4
]}

Aloqaily, Ahmad ^{[4
]}

机构：

[1] Univ Malakand, Dept Math, Dir Lower, Pakistan

[2] Ajman Univ, Nonlinear Dynam Res Ctr NDRC, Ajman, U Arab Emirates

[3] Anand Int Coll Engn, Dept Math, Near Kanota,Agra Rd, Jaipur 303012, Rajasthan, India

[4] Price Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia

来源：

SCIENTIFIC REPORTS | 2023年 / 13卷 / 01期

关键词：

DIFFERENTIAL-EQUATIONS; SYSTEM;

D O I：

10.1038/s41598-023-45207-y

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this article, we present an algorithm for computing analytical solutions of linear fuzzy advection-diffusion equations and one-dimensional fuzzy heat equations involving an external source. The fuzzy problems can be solved by using the natural transform and Adomian decomposition method. The results obtained through the natural Adomian decomposition method are calculated in a series form that converges rapidly to the exact solution. To enhance the practicality of our work, we provide examples to illustrate our findings.

引用

页数：16

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