Abstract:
In this study, accelerated non-standard finite difference method is presented for solving
singularly perturbed reaction-diffusion boundary value problems. Richardson extrapolation
technique helps to improve accuracy of the solution and accelerates its rate of convergence
from second order to fourth order. Consistency and stability of the present method established
very well to guarantee the convergence of the method. Model examples were considered to
illustrate the conformation of theoretical description with experiential results. In a net shell,
the presented method is formulated for the class of singularly perturbed reaction- diffusion
boundary value problems which is stable, convergent and gives more accurate solution than
some methods existing in the literature.
