Finite difference methods for the generalized Huxley and Burgers-Huxley equations
Keywords:
The generalized Huxley equation, The generalized Burgers-Huxley equation, finite difference method, explicit exponential finite difference methodAbstract
In this paper, explicit exponential finite difference methods arepresented to solve the generalized forms of Huxley andBurgers-Huxley equations. These schemes allows to handle any valuesof $\delta$. The accuracy of the numerical solutions indicates thatthe methods are well suited for the solution of the generalizedHuxley and the generalized Burhgers-Huxley equations.References
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