Haar wavelet Picard method for fractional nonlinear partial differential equations

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摘要

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.

论文关键词:Fractional differential equations,Haar wavelet,Operational matrices,Picard iteration

论文评审过程:Received 4 September 2014, Revised 20 April 2015, Accepted 26 April 2015, Available online 19 May 2015, Version of Record 19 May 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.04.096