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Author/Affiliation: Jumat Sulaiman

Redlich-Kister Finite Difference Solution for Solving Two-Point Boundary Value Problems by using Ksor Iteration Family

by Mohd Norfadli Suardi and Jumat Sulaiman

Advances in Science, Technology and Engineering Systems Journal, Volume 6, Issue 1, Page # 954–960, 2021; DOI: 10.25046/aj0601105

Abstract:

In this paper, we are concerned to investigate the efficiency of the second-order Redlich-Kister Finite Difference (RKFD) discretization scheme together with the Four Point Explicit Group Kaudd Successive Over Relaxation (4EGKSOR) iterative method for solving two-point boundary value problems (TPBVPs). In order to apply this block iteration to solve any linear system, firstly we discretize…

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(This article belongs to Section Applied Mathematics (MAP))

Application of The Half-Sweep Egsor Iteration for Two-Point Boundary Value Problems of Fractional Order

by Rostang Rahman, Nur Afza Mat Ali, Jumat Sulaiman and Fatihah Anas Muhiddin

Advances in Science, Technology and Engineering Systems Journal, Volume 4, Issue 2, Page # 237–243, 2019; DOI: 10.25046/aj040231

Abstract:

The point of this study is to explore and elucidating the performance of the four-point Half-Sweep EGSOR (4HSEGSOR) iterative method to solve fractional two-point boundary value problems by using Caputo’s fractional operator and family of finite differences (FD) schemes. To apply the iterative methods, linear system needs to be constructed via the discretization process with…