YYÜ GCRIS Basic veritabanının içerik oluşturulması ve kurulumu Research Ecosystems (https://www.researchecosystems.com) tarafından devam etmektedir. Bu süreçte gördüğünüz verilerde eksikler olabilir.

Browsing by Author "Demirbas, Mutlu"

Filter results by typing the first few letters
Now showing 1 - 2 of 2
  • Thumbnail Image
    Article
    An Efficient Numerical Scheme on Adaptive Mesh for Solving Singularly Perturbed Quasilinear Boundary Value Problems
    (Univ Simon Bolivar, 2024) Duru, Hakki; Demirbas, Mutlu; Gunes, Baransel
    This paper investigates the singularly perturbed quasilinear boundary value problem by numerically. Initially, some features of the analytical solution of the presented problem are given. Then, by using quasilinearization technique and interpolating quadrature formulas, the finite difference scheme is constructed on Bakhvalov-type mesh. The convergence estimations of the numerical scheme are provided and three examples are solved to demonstrate the efficiency of the suggested method. The main contribution of this paper is to ensure a uniform finite difference scheme for quasilinear problems with layer behavior.
  • Thumbnail Image
    Article
    A Uniform Discretization for Solving Singularly Perturbed Convection-Diffusion Boundary Value Problems
    (Georgian Natl Acad Sciences, 2022) Gunes, Baransel; Demirbas, Mutlu
    In this paper, a discrete scheme is presented for solving singularly perturbed convection-diffusion equations. The stability and convergence of the proposed scheme are analyzed in the discrete maximum norm. Error estimates are carried out for both Bakhvalov (B-mesh) and Shishkin-type (S-mesh) meshes. Three numerical examples are solved to authenticate the theoretical findings.