An algorithm for the numerical solution of nonlinear fractional-order Van der Pol oscillator equation

An algorithm for the numerical solution of nonlinear fractional-order Van der Pol oscillator equation

This paper is devoted to the numerical simulation for solving a special class of fractional differential equations. Based on the Grünwald–Letnikov definition of a fractional derivative, a numerical scheme for the approximation of the solution is discussed. By using this scheme, we solve the fraction...

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Bibliographic Details
Published in:Mathematical and computer modelling Vol. 55; no. 5-6; pp. 1782 - 1786
Main Authors: Jafari, H., Khalique, C.M., Nazari, M.
Format: Journal Article
Language:English
Published: Elsevier Ltd 01-03-2012
Subjects:
Fractional derivative
Numerical solution
Van der Pol equation
Van der Pol equation
Numerical solution
Fractional derivative
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Summary:This paper is devoted to the numerical simulation for solving a special class of fractional differential equations. Based on the Grünwald–Letnikov definition of a fractional derivative, a numerical scheme for the approximation of the solution is discussed. By using this scheme, we solve the fractional Van der Pol equation. The results obtained here compare well with the analytical solutions and this shows that the numerical scheme is stable.
ISSN:0895-7177
1872-9479
DOI:10.1016/j.mcm.2011.11.029