Some numerical methods for solving fractional partial difference equations in the discrete domain

Abed, Alaa Mohsin; Jafari, Hossein; Mechee, Mohammed Sahib

doi:10.47974/JIM-1763

Open Access Research Article

Some numerical methods for solving fractional partial difference equations in the discrete domain

^*Alaa Mohsin AbedCorresponding authora.muhsien08@umail.umz.ac.irAffiliation 1Department of MathematicsFaculty of Mathematical SciencesUniversity of MazandaranBabolsar, IranAffiliation 2The General Directorate of Education in DiwaniyahDiwaniyah, IraqView full profile → , Hossein JafariDepartment of Mathematical SciencesUniversity of South AfricaUNISA0003, South AfricaView full profile → , Mohammed Sahib Mecheemohammeds.abed@uokufa.edu.iqInformation Technology Research and Development Center (ITRDC)University of KufaNajaf, IraqView full profile →

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pp. 737–743Vol. 27Issue 4June 2024DOI: 10.47974/JIM-1763XML

Received:: 11 Oct 2023
Published Online:: 31 May 2024
Article type:: Research Article
Language:: EN
Article no.:: JIM-1763
Pages:: 737–743

Abstract

This paper proposes a method for solving fractional partial difference equations using discrete Sumudu transformation. Some properties of discrete Sumudu transformation were used. The applications of the test examples for the initial value problems of fractional partial difference equations were tested using two methods: the successive approximation method. The second, homotopy perturbation, was proven efficient with the proposed method.

Keywords

Discrete calculus Sumudu transform Fractional partial difference equation Homotopy perturbation method

Subject Classifications

35R1135R10

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