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

Noor Jamal; Muhammad Sarwar; Parveen Agarwal; Nabil Mlaiki; Ahmad Aloqaily

doi:10.1038/s41598-023-45207-y

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

Noor Jamal
, Muhammad Sarwar
, Parveen Agarwal
, Nabil Mlaiki
, Ahmad Aloqaily

Nonlinear Dynamic Research Centre (NDRC)

University of Malakand
International College of Engineering
Prince Sultan University (PSU)

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

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.

Original language	English
Article number	18565
Journal	Scientific Reports
Volume	13
Issue number	1
DOIs	https://doi.org/10.1038/s41598-023-45207-y
State	Published - Dec 2023

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abstract = "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.",

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AU - Sarwar, Muhammad

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AU - Mlaiki, Nabil

AU - Aloqaily, Ahmad

PY - 2023/12

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AB - 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.

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

Abstract

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