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A CAS wavelet method for solving nonlinear Fredholm integro-differential equations of fractional order. (English) Zbl 1221.65354

Summary: We present a computational method for solving a class of nonlinear Fredholm integro-differential equations of fractional order which is based on CAS (Cosine And Sine) wavelets. The CAS wavelet operational matrix of fractional integration is derived and used to transform the equation to a system of algebraic equations. Some examples are included to demonstrate the validity and applicability of the technique.

MSC:

65T60 Numerical methods for wavelets
26A33 Fractional derivatives and integrals
45K05 Integro-partial differential equations

Software:

CRONE
PDFBibTeX XMLCite
Full Text: DOI

References:

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