Numerical Solution of the Multiterm Time-Fractional Model for Heat Conductivity by Local Meshless Technique

Bander N. Almutairi, Ahmed E. Abouelregal, Bandar Bin-Mohsin, M. D. Alsulami, Phatiphat Thounthong and Nehad Ali Shah

Complexity, 2021, vol. 2021, 1-10

Abstract: Fractional partial differential equation models are frequently used to several physical phenomena. Despite the ability to express many complex phenomena in different disciplines, researchers have found that multiterm time-fractional PDEs improve the modeling accuracy for describing diffusion processes in contrast to the results of a single term. Nowadays, it attracts the attention of the active researchers. The aim of this work is concerned with the approximate numerical solutions of the three-term time-fractional Sobolev model equation using computationally attractive and reliable technique, known as a local meshless method. Because of the meshless character and the simple application in higher dimensions, there is a growing interest in meshless techniques. To assess the reliability and accuracy of the proposed method, three test problems and two types of irregular domains are taken into account.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:9952562

DOI: 10.1155/2021/9952562

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