Applying Haar-Sinc Spectral Method for Solving time-fractional Burger Equation

Haar-Sinc spectral method is used for the numerical approximation of time fractional Burgers’equations with variable and constant coefficients. The main idea in this method is using a linear discretization of time and space by combination of Haar and Sinc functions, respectively. While implementing...

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Bibliographic Details
Published inMathematics and computational sciences Vol. 5; no. 1; pp. 43 - 54
Main Author Ali Pirkhedri
Format Journal Article
LanguageEnglish
Published Qom University of Technology 01.03.2024
Subjects
burgers’ equation
collocation method,l2-error
convergence rate
haar functions
l ∞ -error
sinc functions
time-fractional
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Summary:Haar-Sinc spectral method is used for the numerical approximation of time fractional Burgers’equations with variable and constant coefficients. The main idea in this method is using a linear discretization of time and space by combination of Haar and Sinc functions, respectively. While implementing the method, the operational matrices of the fractional integral of the fractional Haar functions are made, and by using them, an algebraic equation is obtained. Then, using the collocation method, the algebraic equation is converted into a system of equations, and after solving the system with Maple software, the numerical results of the problem is obtained. The accuracy and speed of the proposed algorithm are tested by obtaining L∞, L2 error and the convergence rate.
ISSN:2717-2708
DOI:10.30511/mcs.2024.2013489.1142