Novel simulations to the time-fractional Fisher’s equation

By Pundikala Veeresha, Doddabhadrappla Gowda Prakasha, Haci Mehmet Baskonus. The Mathematical Scientist, 2019

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In the present work, an efficient numerical technique, called q-homotopy analysis transform method (briefly, $$q$$q-HATM), is applied to nonlinear Fisher’s equation of fractional order. The homotopy polynomials are employed, in order to handle the nonlinear terms. Numerical examples are illustrated to examine the efficiency of the proposed technique. The suggested algorithm provides the auxiliary parameters $$\hbar$$ħ and $$n$$n, which help us to control and adjust the convergence region of the series solution. The outcomes of the study reveal that the $$q$$q-HATM is computationally very effective and accurate to analyse nonlinear fractional differential equations.

Subfields: Modeling and Simulation, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/e1005fefd3a541640d4a0b367885f13df086ea73