Open Access

ARTICLE

Wavelet operational matrix method for solving fractional integral and differential equations of Bratu-type

Lifeng Wang¹, Yunpeng Ma¹, Zhijun Meng¹, Jun Huang¹

1 School of Aeronautic Science and Technology, Beihang University , Beijing, China.

Computer Modeling in Engineering & Sciences 2013, 92(4), 353-368. https://doi.org/10.3970/cmes.2013.092.353

Abstract

In this paper, a wavelet operational matrix method based on the second kind Chebyshev wavelet is proposed to solve the fractional integral and differential equations of Bratu-type. The second kind Chebyshev wavelet operational matrix of fractional order integration is derived. A truncated second kind Chebyshev wavelet series together with the wavelet operational matrix is utilized to reduce the fractional integral and differential equations of Bratu-type to a system of nonlinear algebraic equations. The convergence and the error analysis of the method are also given. Two examples are included to verify the validity and applicability of the proposed approach.

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Keywords

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