.A. A. Freihat and M. Zuriqat, Analytical Solution of Fractional Burgers Huxley Equations via Residual Power Series Method, Lobachevskii Journal of Mathematics, 40 (2) (2019), 174-182.
This paper is aimed at constructing fractional power series (FPS) solutions of fractional
Burgers?Huxley equations using residual power series method (RPSM). RPSM is combining
Taylor?s formula series with residual error function. The solutions of our equation are computed
in the form of rapidly convergent series with easily calculable components using Mathematica
software package. Numerical simulations of the results are depicted through different graphical
representations and tables showing that present scheme are reliable and powerful in finding the
numerical solutions of fractional Burgers?Huxley equations. The numerical results reveal that
the RPSM is very effective, convenient and quite accurate to time dependence kind of nonlinear
equations. It is predicted that the RPSM can be found widely applicable in engineering.