Numerical Computation of the Tau Approximation for the Delayed Burgers Equation

doi:10.1088/0256-307X/30/2/020201

Chin. Phys. Lett.

2013, Vol. 30

Issue (2): 020201 DOI: 10.1088/0256-307X/30/2/020201

GENERAL

Numerical Computation of the Tau Approximation for the Delayed Burgers Equation

F. Khaksar Haghani^*, S. Karimi Vanani, J. Sedighi Hafshejani

Department of Mathematics, Islamic Azad University, Shahrekord Branch, P.O. Box 166, Shahrekord, Iran

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F. Khaksar Haghani, S. Karimi Vanani, J. Sedighi Hafshejani 2013 Chin. Phys. Lett. 30 020201

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Abstract We investigate an efficient extension of the operational Tau method for solving the delayed Burgers equation(DBE) arising in physical problems. This extension gives a useful numerical algorithm for the DBE including linear and nonlinear terms. The orthogonality of the Laguerre polynomials as the basis function is the main characteristic behind the method to decrease the volume of computations and runtime of the method. Numerical results are also presented for some experiments to demonstrate the usefulness and accuracy of the proposed algorithm.

Received: 26 July 2012 Published: 02 March 2013

PACS:	02.60.Lj	(Ordinary and partial differential equations; boundary value problems)
	02.60.-x	(Numerical approximation and analysis)
	87.55.kd	(Algorithms)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/30/2/020201 OR https://cpl.iphy.ac.cn/Y2013/V30/I2/020201

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	F. Khaksar Haghani
	S. Karimi Vanani
	J. Sedighi Hafshejani

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