Abstract

Space-time fractional differential equation with integral term (S-TFDE) has been considered.The finite difference method (implicit and explicit) combined with the trapezoidal integration formula has beenused tofind special formula to solve this equation. The stability and convergence have been discussed. The effect ofadding anintegral term to the common classical equation has been considered. Graphical representation of the calculatesolutions(obtained by the explicit and the implicit methods) for three numerical examples with their exact solution, areconsidered. All the calculations and graphs are designed with the help of MATLAB.

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The article was added to IASJ on 2019-03-27

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