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

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 resul...

Descripción completa

Detalles Bibliográficos
Autores principales: Jamal, Noor, Sarwar, Muhammad, Agarwal, Parveen, Mlaiki, Nabil, Aloqaily, Ahmad
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10616136/
https://www.ncbi.nlm.nih.gov/pubmed/37903852
http://dx.doi.org/10.1038/s41598-023-45207-y
_version_ 1785129325970849792
author Jamal, Noor
Sarwar, Muhammad
Agarwal, Parveen
Mlaiki, Nabil
Aloqaily, Ahmad
author_facet Jamal, Noor
Sarwar, Muhammad
Agarwal, Parveen
Mlaiki, Nabil
Aloqaily, Ahmad
author_sort Jamal, Noor
collection PubMed
description 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.
format Online
Article
Text
id pubmed-10616136
institution National Center for Biotechnology Information
language English
publishDate 2023
publisher Nature Publishing Group UK
record_format MEDLINE/PubMed
spelling pubmed-106161362023-11-01 Solutions of fuzzy advection-diffusion and heat equations by natural adomian decomposition method Jamal, Noor Sarwar, Muhammad Agarwal, Parveen Mlaiki, Nabil Aloqaily, Ahmad Sci Rep Article 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. Nature Publishing Group UK 2023-10-30 /pmc/articles/PMC10616136/ /pubmed/37903852 http://dx.doi.org/10.1038/s41598-023-45207-y Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Jamal, Noor
Sarwar, Muhammad
Agarwal, Parveen
Mlaiki, Nabil
Aloqaily, Ahmad
Solutions of fuzzy advection-diffusion and heat equations by natural adomian decomposition method
title Solutions of fuzzy advection-diffusion and heat equations by natural adomian decomposition method
title_full Solutions of fuzzy advection-diffusion and heat equations by natural adomian decomposition method
title_fullStr Solutions of fuzzy advection-diffusion and heat equations by natural adomian decomposition method
title_full_unstemmed Solutions of fuzzy advection-diffusion and heat equations by natural adomian decomposition method
title_short Solutions of fuzzy advection-diffusion and heat equations by natural adomian decomposition method
title_sort solutions of fuzzy advection-diffusion and heat equations by natural adomian decomposition method
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10616136/
https://www.ncbi.nlm.nih.gov/pubmed/37903852
http://dx.doi.org/10.1038/s41598-023-45207-y
work_keys_str_mv AT jamalnoor solutionsoffuzzyadvectiondiffusionandheatequationsbynaturaladomiandecompositionmethod
AT sarwarmuhammad solutionsoffuzzyadvectiondiffusionandheatequationsbynaturaladomiandecompositionmethod
AT agarwalparveen solutionsoffuzzyadvectiondiffusionandheatequationsbynaturaladomiandecompositionmethod
AT mlaikinabil solutionsoffuzzyadvectiondiffusionandheatequationsbynaturaladomiandecompositionmethod
AT aloqailyahmad solutionsoffuzzyadvectiondiffusionandheatequationsbynaturaladomiandecompositionmethod

Ejemplares similares