An Analytical Solution of Fractional Diffusion Equations using the operational matrix method

I. Hashim; Muhammed I. Syam; Mwaffag Sharadga

doi:10.1109/ICFDA58234.2023.10153266

An Analytical Solution of Fractional Diffusion Equations using the operational matrix method

I. Hashim, Muhammed I. Syam, Mwaffag Sharadga

Department of Mathematical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In this study, we approximate the solution of a class of fractional diffusion equations using the operational matrix method. Numerous physics and engineering applications for this kind of problems attract researchers to them. In order to reduce this problem into a system of second-order equations in space, operational matrices are used. The approximate solution is then found using the collocation method. To demonstrate the efficiency of the proposed method, two examples are provided. Then, some conclusions are given.

Original language	English
Title of host publication	2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9798350321685
DOIs	https://doi.org/10.1109/ICFDA58234.2023.10153266
Publication status	Published - 2023
Event	2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023 - Ajman, United Arab Emirates Duration: Mar 14 2023 → Mar 16 2023

Publication series

Name	2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023

Conference

Conference	2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023
Country/Territory	United Arab Emirates
City	Ajman
Period	3/14/23 → 3/16/23

Keywords

collocation method
Diffusion equation
fractional derivative
operational matrix method

ASJC Scopus subject areas

Analysis
Applied Mathematics
Mathematical Physics
Numerical Analysis

Access to Document

10.1109/ICFDA58234.2023.10153266

Cite this

Hashim, I., Syam, M. I., & Sharadga, M. (2023). An Analytical Solution of Fractional Diffusion Equations using the operational matrix method. In 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023 (2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICFDA58234.2023.10153266

An Analytical Solution of Fractional Diffusion Equations using the operational matrix method. / Hashim, I.; Syam, Muhammed I.; Sharadga, Mwaffag.
2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023. Institute of Electrical and Electronics Engineers Inc., 2023. (2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Hashim, I, Syam, MI & Sharadga, M 2023, An Analytical Solution of Fractional Diffusion Equations using the operational matrix method. in 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023. 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023, Institute of Electrical and Electronics Engineers Inc., 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023, Ajman, United Arab Emirates, 3/14/23. https://doi.org/10.1109/ICFDA58234.2023.10153266

Hashim I, Syam MI, Sharadga M. An Analytical Solution of Fractional Diffusion Equations using the operational matrix method. In 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023. Institute of Electrical and Electronics Engineers Inc. 2023. (2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023). doi: 10.1109/ICFDA58234.2023.10153266

Hashim, I. ; Syam, Muhammed I. ; Sharadga, Mwaffag. / An Analytical Solution of Fractional Diffusion Equations using the operational matrix method. 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023. Institute of Electrical and Electronics Engineers Inc., 2023. (2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023).

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An Analytical Solution of Fractional Diffusion Equations using the operational matrix method

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