Open Access

ARTICLE

Numerical solution of nonlinear fractional integral differential equations by using the second kind Chebyshev wavelets

Yiming Chen¹, Lu Sun¹, Xuan Li¹, Xiaohong Fu¹

1 College of Sciences, Yanshan University, Qinhuangdao, Hebei, China

Computer Modeling in Engineering & Sciences 2013, 90(5), 359-378. https://doi.org/10.3970/cmes.2013.090.359

Abstract

By using the differential operator matrix and the product operation matrix of the second kind Chebyshev wavelets, a class of nonlinear fractional integral-differential equations is transformed into nonlinear algebraic equations, which makes the solution process and calculation more simple. At the same time, the maximum absolute error is obtained through error analysis. It also can be used under the condition that no exact solution exists. Numerical examples verify the validity of the proposed method.

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Keywords

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