A New Iterative Algorithm for the Time-Fractional Fisher Equation Including Small Delay

Abstract

This study aims to establish a numerical solution of time fractional Fisher equation with small delay by utilizing residual power series method (RPSM). First of all, replacing the term including small delay by in Taylor series expansion of it, we reduce the problem into a fractional Fisher equation without delay. Secondly, applying RPSM, the coefficients of the series are determined which converges to the solution of the equation rapidly. Effectiveness and accuracy of this algorithm are illustrated by presented examples.

Keywords

• Fisher equation
• Fractional delay differential equation
• Residual power series method

References

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