Haar wavelet Picard method for fractional nonlinear partial differential equations

Umer Saeed and Mujeeb ur Rehman

Applied Mathematics and Computation, 2015, vol. 264, issue C, 310-322

Abstract: In this article, we present a solution method for fractional nonlinear partial differential equation. The proposed technique utilizes the Haar wavelets operational matrices method in conjunction with Picard technique. The operational matrices are derived and utilized for the solution of fractional nonlinear partial differential equations. Convergence analysis for the proposed technique has also been given. Numerical examples are provided to illustrate the efficiency and accuracy of the technique.

Keywords: Fractional differential equations; Haar wavelet; Operational matrices; Picard iteration (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:264:y:2015:i:c:p:310-322

DOI: 10.1016/j.amc.2015.04.096

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