The Chebyshev collocation solution of the time fractional coupled Burgers' equation

Volume 17, Issue 1, pp 179--193 http://dx.doi.org/10.22436/jmcs.017.01.16

Publication Date: March 15, 2017 Submission Date: October 30, 2016

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Authors

Basim Albuohimad - Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Ave., 15914, Tehran, Iran. Hojatollah Adibi - Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Ave., 15914, Tehran, Iran.

Abstract

This paper is concerned with the numerical solution of the time fractional coupled Burgers’ equation. The proposed hybrid solution is based on Chebyshev collection method for space variable, and the trapezoidal quadrature technique. Finally the error analysis is discussed and some test examples are presented to demonstrate the applicability and efficiency of the method.

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Keywords

• Fractional coupled Burgers’ equation
• trapezoidal quadrature
• finite difference
• Chebyshev polynomials
• spectral collection method.

MSC

•  41A10
•  65D30
•  35K40

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