The method based on quintic B-spline functions for addressing time-fractional advection-dispersion equations

Adel, Mohamed; Abdi-mazraeh, Somayieh; Zaki, Golamreza; Irandust-Pakchin, Safar

doi:10.22124/jmm.2025.31501.2833

The method based on quintic B-spline functions for addressing time-fractional advection-dispersion equations

Articles in Press

Document Type : Research Article

Authors

¹ Department of Mathematics, Faculty of Science, Islamic University of Madinah, Medina, KSA.

² Department of Applied Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, University of Tabriz, Tabriz, Iran

³ Department of Mathematics

10.22124/jmm.2025.31501.2833

Abstract

This paper introduces a numerical method designed to address the fractional time advection-dispersion equation. Initially, the time dimension is discretized by employing the L1 method. Subsequently, quintic B-spline functions are utilized for the discretization of the spatial dimension. This
approach yields a system of algebraic equations that can be efficiently solved. The proposed method is proven to be unconditionally stable. Numerical experiments provide compelling evidence of the method’s eﬃciency and eﬀectiveness

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Main Subjects