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

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

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

Keywords

Main Subjects


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