Title of article :
Novel simulations to the time‑fractional Fisher’s equation
Author/Authors :
Veeresha, P Faculty of Science &Technology - Department of Mathematics - Karnatak University - Dharwad, India , Prakasha, D. G Faculty of Science &Technology - Department of Mathematics - Karnatak University - Dharwad, India , Baskonus, Haci Mehmet Faculty of Education - Department of Mathematics - Harran University - Sanliurfa, Turkey
Pages :
10
From page :
33
To page :
42
Abstract :
In the present work, an efficient numerical technique, called q-homotopy analysis transform method (briefly, 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 ˜ and n , which help us to control and adjust the convergence region of the series solution. The outcomes of the study reveal that the q-HATM is computationally very effective and accurate to analyse nonlinear fractional differential equations.
Keywords :
q-Homotopy analysis transform method , Fractional Fisher’s equation , Laplace transform
Serial Year :
2019
Record number :
2493941
Link To Document :
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