A SEMI-ANALYTICAL METHOD FOR SOLVING FRACTIONAL ORDER GENERALIZED BURGERS- HUXLEY EQUATION WITH A REFINED INITIAL GUESS

RAZAQ ADEKOLA  ODERINU; SAMSON ADEKUNLE  AJIBADE

RAZAQ ADEKOLA ODERINU DEPARTMENT OF MATHEMATICS, LADOKE AKINTOLA UNIVERSITY OF TECHNOLOGY OGBOMOSO, OYO STATE, NIGERIA.
SAMSON ADEKUNLE AJIBADE DEPARTMENT OF MATHEMATICS, LADOKE AKINTOLA UNIVERSITY OF TECHNOLOGY OGBOMOSO, OYO STATE, NIGERIA.

Keywords: Fractional order differential equations, Burgers-Huxley equation, Initial guess Adomian decomposition method

Abstract

In this paper, a refined initial guess was incorporated into the Adomian Decomposition Method (ADM) in order to obtain an approximate solution to the classical order and fractional order Generalized Burgers-Huxley equations (GBHE). The first iteration was obtained using the refined initial guess and all other iterations are obtained using the ADM. The solutions obtained were computed as an infinite series with a fast convergence to the exact solution at classical order. The dependability and efficacy of the procedure are demonstrated by the supplied graph and the results.

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