Browsing by Author "Appadu, Appanah R."

Now showing 1 - 1 of 1
  • Thumbnail Image
    Item
    A NSFD discretization of two-dimensional singularly perturbed semilinear convection-diffusion problems
    (Frontiers Media, 2022) Kehinde, Olawale O.; Munyakazi, Justin B.; Appadu, Appanah R.
    Despite the availability of an abundant literature on singularly perturbed problems, interest toward non-linear problems has been limited. In particular, parameter-uniform methods for singularly perturbed semilinear problems are quasi-non-existent. In this article, we study a two-dimensional semilinear singularly perturbed convection-diffusion problems. Our approach requires linearization of the continuous semilinear problem using the quasilinearization technique. We then discretize the resulting linear problems in the framework of non-standard finite difference methods. A rigorous convergence analysis is conducted showing that the proposed method is first-order parameter-uniform convergent. Finally, two test examples are used to validate the theoretical findings.