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

	Wavelet-Picard iterative method for solving singular fractional nonlinear partial differential equations with initial and boundary conditions
Computational Methods for Differential Equations
مقاله 1، دوره 8، شماره 4، بهمن 2020، صفحه 610-638 اصل مقاله (1.08 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2020.31627.1479
نویسندگان
Amir Mohammadi؛ Naser Aghazadeh^* ؛ Shahram Rezapour
Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.
چکیده
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.
کلیدواژه‌ها
Fractional singular differential equation؛ Haar wavelets؛ Second-kind Chebyshev wavelets؛ Picard iteration

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