Kehinde, Olawale O.Munyakazi, Justin B.Appadu, Appanah R.2022-08-022022-08-022022Kehinde, O. O. et al. (2022). A NSFD discretization of two-dimensional singularly perturbed semilinear convection-diffusion problems. Frontiers in Applied Mathematics and Statistics, 8, 861276. 10.3389/fams.2022.8612762297-4687https://doi.org/10.3389/fams.2022.861276http://hdl.handle.net/10566/7651Despite 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.enQuasilinearizationMathematicsEquationsSemilinearArticle