Grünwald Implicit Solution of One-Dimensional Time-Fractional Parabolic Equations Using HSKSOR Iteration(Conference Paper)

• Main Authors: Muhiddin, F.A., Jumat Bin Sulaiman, Sunarto, A.
• Format: Article
• Language: English
• Published: Institute of Physics Publishing 2020
• Subjects: Q Science (General); QA Mathematics
• Online Access: https://eprints.ums.edu.my/id/eprint/26819/1/Gr%C3%BCnwald%20Implicit%20Solution%20of%20One-Dimensional%20Time-Fractional%20Parabolic%20Equations%20Using%20HSKSOR%20Iteration%28Conference%20Paper%29.pdf; https://eprints.ums.edu.my/id/eprint/26819/; https://www.scopus.com/record/display.uri?eid=2-s2.0-85083206645&origin=inward&txGid=fa59a0dd7790ae28a8b1c143c24700dc
• Institution: Universiti Malaysia Sabah

This paper presents the application of a half-sweep iteration concept to the Grünwald implicit difference schemes with the Kaudd Successive Over-Relaxation (KSOR) iterative method in solving one-dimensional linear time-fractional parabolic equations. The formulation and implementation of the proposed methods are discussed. In order to validate the performance of HSKSOR, comparisons are made with another two iterative methods, full-sweep KSOR (FSKSOR) and Gauss-Seidel (FSGS) iterative methods. Based on the numerical results of three tested examples, it shows that the HSKSOR is superior compared to FSKSOR and FSGS iterative methods. © Published under licence by IOP Publishing Ltd.