TY - JOUR ID - 9909 TI - Wavelet-Picard iterative method for solving singular fractional nonlinear partial differential equations with initial and boundary conditions JO - Computational Methods for Differential Equations JA - CMDE LA - en SN - 2345-3982 AU - Mohammadi, Amir AU - Aghazadeh, Naser AU - Rezapour, Shahram AD - Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran. Y1 - 2020 PY - 2020 VL - 8 IS - 4 SP - 610 EP - 638 KW - Fractional singular differential equation KW - Haar wavelets KW - Second-kind Chebyshev wavelets KW - Picard iteration DO - 10.22034/cmde.2020.31627.1479 N2 - 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. UR - https://cmde.tabrizu.ac.ir/article_9909.html L1 - https://cmde.tabrizu.ac.ir/article_9909_c3059009da18789e00b7268ae87f3ff8.pdf ER -