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Research Article | Open Access

Application of the B-spline Galerkin approach for approximating the time-fractional Burger's equation

Akeel A. AL-saedi, Jalil Rashidinia( )
School of Mathematics and Computer Science, Iran University of Science & Technology, Tehran 16846-13114, Iran
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Abstract

This paper presents a numerical scheme based on the Galerkin finite element method and cubic B-spline base function with quadratic weight function to approximate the numerical solution of the time-fractional Burger's equation, where the fractional derivative is considered in the Caputo sense. The proposed method is applied to two examples by using the L 2 and L ∞ error norms. The obtained results are compared with a previous existing method to test the accuracy of the proposed method.

Keywords

time-fractional Burger's equationCaputo derivativeB-spline Galerkin methoddifferent weight function

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Electronic Research Archive
Volume 31 Issue 7,
July 2023
Pages 4248-4265
DOI: 10.3934/era.2023216

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Cite this article:
AL-saedi AA, Rashidinia J. Application of the B-spline Galerkin approach for approximating the time-fractional Burger's equation. Electronic Research Archive, 2023, 31(7): 4248-4265. https://doi.org/10.3934/era.2023216

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Received: 23 March 2023
Revised: 02 May 2023
Accepted: 06 May 2023
Published: 15 July 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)