Numerical treatment of singularly perturbed unsteady Burger-Huxley equation

This article deals with the numerical treatment of a singularly perturbed unsteady Burger-Huxley equation. The equation is linearized using Newton-Raphson-Kantorovich approximation method. resulting linear discretized implicit Euler method and an exponential spline for time space variables, respectively. Richardson's extrapolation technique employed to increase accuracy in temporal direction. stability uniform convergence proposed scheme are investigated. shown uniformly convergent order O (τ + ℓ 2 ) before after Richardson extrapolation, Several test examples considered validate applicability efficiency scheme. It observed that provides more accurate results than methods available literature.