Browsing by Author "Natesan, Srinivasan"
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An asymptotic-numerical hybrid method for singularly perturbed system of two-point reaction-diffusion boundary-value problems
Cengizci, Süleyman; Natesan, Srinivasan; Atay, Mehmet Tarık (Turkish Journal of Mathematics, 2019)This article focuses on the numerical approximate solution of singularly perturbed systems of secondorder reaction-diffusion two-point boundary-value problems for ordinary differential equations. To handle these types of ... -
A stabilized finite element formulation for numerical simulation of convection-dominated reactive models
Cengizci, Süleyman; Uğur, Ömür; Natesan, Srinivasan (Advances in Differential Equations and Numerical Analysis (ADENA), Indian Institute of Technology Guwahati, India, 2020)In this talk, we are interested in the numerical solution of convection-dominated models with nonlinear reaction mechanisms. The existence of the advection term(s) in the relevant models causes the numerical solutions ... -
A SUPG formulation for solving a class of singularly perturbed steady problems in 2D
Cengizci, Süleyman; Uğur, Ömür; Natesan, Srinivasan (The 20th Biennial Computational Techniques and Applications Conference (CTAC2020), 2020)In this presentation, approximate solutions of singularly perturbed partial differential equations are examined. It is a well-known fact that the standard Galerkin finite element method (GFEM) experiences some instability ...