Wavelet-Picard iterative method for solving singular fractional nonlinear partial differential equations with initial and boundary conditions

Mohammadi, Amir; Aghazadeh, Naser; Rezapour, Shahram

doi:10.22034/cmde.2020.31627.1479

Wavelet-Picard iterative method for solving singular fractional nonlinear partial differential equations with initial and boundary conditions

Document Type : Research Paper

Authors

Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.

10.22034/cmde.2020.31627.1479

Abstract

The present study applies the Picard iterative method to nonlinear singular partial fractional differential equations. The Haar and second-kind Chebyshev wavelets operational matrix of fractional integration will be used to solve problems combining linearization technique with the Picard method. The singular problem will be converted to an algebraic system of equations, which can be easily solved. Numerical examples are provided to illustrate the efficiency and accuracy of the technique.

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