SCW method for solving the fractional integro-differential equations with a weakly singular kernel

Yanxin Wang and Li Zhu

Applied Mathematics and Computation, 2016, vol. 275, issue C, 72-80

Abstract: In this paper, based on the second Chebyshev wavelets (SCW) operational matrix of fractional order integration, a numerical method for solving a class of fractional integro-differential equations with a weakly singular kernel is proposed. By using the operational matrix, the fractional integro-differential equations with weakly singular kernel are transformed into a system of algebraic equations. The upper bound of the error of the second Chebyshev wavelets expansion is investigated. Finally, some numerical examples are shown to illustrate the efficiency and accuracy of the approach.

Keywords: Weakly singular integro-differential equations; SCW; Operational matrix; Block pulse functions; Fractional calculus (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:275:y:2016:i:c:p:72-80

DOI: 10.1016/j.amc.2015.11.057

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