 A numerical method for the solution of the two-dimensional time-fractional cable equation of distributed-order involving Riesz space-fractional operatorsM.H. Derakhshan, H.R. Marasi and Pushpendra Kumar Mathematics and Computers in Simulation (MATCOM), 2026, vol. 242, issue C, 230-243 Abstract: In this paper, we propose an efficient hybrid numerical approach to obtain approximate solutions to the two-dimensional time-fractional cable equation of distributed-order involving Riesz space-fractional operators. This combined numerical approach includes two numerical approaches in time and space directions. The weighted and shifted Grünwald difference numerical method is used to approximate the fractional problem in the time direction, and the fractional compact numerical method is applied in the direction of the space variable. The stability and convergence analyses are studied for the proposed numerical approach. To show the effectiveness of the presented numerical method, some numerical examples are given, and the numerical results for these examples are plotted. Also, this numerical approach is compared with other methods. Keywords: Cable equation; Riesz space-fractional operator; Shifted Grünwald difference method; Fractional compact method; Distributed order; Stability and convergence (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:242:y:2026:i:c:p:230-243 DOI: 10.1016/j.matcom.2025.11.002 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
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