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Title: An Implicit Numerical Method for Semilinear Space-Time Fractional Diffusion Equation
Authors: Birajdar, Gunvant A.
Keywords: Riemann-Liouville fractional derivative
Caputo fractional derivative
stability, convergence
implicit finite difference method
Issue Date: 20-Nov-2014
Abstract: The aim of the study is to obtain the solution of semilinear space-time fractional diffusion equation for the first initial boundary value problem (IBVP), by applying an implicit method. The main idea of the method is to convert the problem into an algebraic system which simplifies the computations. We discuss the stability, convergence and error analysis of the implicit finite difference scheme with suitable example using MATLAB.
Appears in Collections:Articles - Tuljapur Faculty

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