Abstract:In this study, a higher-order new approach numerical method for solving
singularly perturbed parabolic reaction-diffusion problems has
presented. To discretize time variable, we used the Crank-Nicolson
method on uniform mesh and space variable, we used hybrid numerical
method comprising a cubic spline tension method in the inner regions and
a central difference method in the outer region on Shishkin mesh. The
proposed method is proved to be uniformly convergent irrespective of the
perturbation parameter. Three… Show more
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