A robust numerical method for a coupled system of singularly ...

Robust Numerical Methods for Singularly Perturbed Differential ...

Mainly discussing layer-adapted meshes, we present also a survey on stabilization methods, adaptive methods, and on systems of singularly ...

S. Natesan and B. S. Deb, “A Robust Computational Method for ...

ABSTRACT: This paper is concerned with the numerical solution for singular perturbation system of two coupled second ordinary differential equations with ...

Analysis of a System of Singularly Perturbed Convection-Diffusion ...

A system of singularly perturbed convection-diffusion equations with strong coupling via the convection term is studied. The system is discretized by an ...

a robust computational technique for a system of singularly ...

numerical method for a coupled system of two singularly perturbed linear reaction–diffusion problems, IMA Journal of Numerical Analysis 23(4): 627–644.

Robust numerical method for a system of singularly perturbed ...

A Dirichlet problem is considered for a system of two singularly perturbed parabolic reaction‐diffusion equations on a rectangle. The parabolic boundary layer ...

A robust finite difference scheme for strongly coupled systems of ...

One of the most successful numerical methods for scalar singularly perturbed convection- diffusion equations is the so-called Il'in-Allen-Southwell (IAS) ...

On the application of robust numerical methods to a complete flow ...

A finite element analysis of a coupled system of singularly perturbed reaction-diffusion equations. Appl. Math. Comp. To appear. [6] N. Madden, “Numerical ...

A Uniformly Convergent Scheme for A System of Two Coupled ...

Ramanujam and V. Shanthi, A numerical method for singularly perturbed weakly coupled system of two second order ordinary differential equations with ...

A robust computational technique for a system of… - Biblioteka Nauki

A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction–diffusion problems, IMA Journal of Numerical Analysis ...

Research Publications - MUKESH KUMAR

Thesis. Parameter-Robust Numerical Methods for Singularly Perturbed Reaction ... Singh, S. Kumar, Aakansha, A robust numerical method for a coupled system of ...

Robust Numerical Methods for Singularly Perturbed Differential ...

so the system is coupled only through the lower-order reaction terms. Linß [77] allows different diffusion coefficients in different equations: ...

Diffusion Equations on a Rectangle - VILNIUS TECH Journals

Robust Numerical Method for a System of Parabolic Equations. 255 the data of ... Numerical Methods for Singularly. Perturbed Differential Equations.

Robust Numerical Methods for Singularly Perturbed Differential ...

... Interpolation.- Local Projection Method for Inf-Sup Stable Elements.- Mass Conservation for Coupled Flow-Transport Problems.- Adaptive Error Control.

a uniformly convergent numerical method for - KoreaScience

Abstract. We consider a weakly coupled system of singularly perturbed convection-diffusion equations with discontinuous source term. The diffu-.

Parameter-Robust Numerical Method for Time-Dependent Weakly ...

We present a parameter-robust numerical method for a time-dependent weakly coupled linear system of singularly perturbed convection-diffusion equations.

A numerical method for singularly perturbed weakly coupled system ...

In this paper, a numerical method based on finite difference scheme and Shishkin mesh for singularly perturbed two second order weakly coupled system of ...

AN ASYMPTOTIC NUMERICAL METHOD FOR SINGULARLY ...

In this paper an asymptotic numerical method is sug- gested to solve singularly perturbed weakly coupled system of convection- diffusion type second order ...

A Parameter-Robust Numerical Method Based on Defect-Correction ...

Article on A Parameter-Robust Numerical Method ... coupled system of singularly perturbed convection–diffusion equations with discontinuous ...

Numerical method for a system of second order singularly perturbed ...

Our objective is to pro- pose a parameter uniform approximation for the solution of weakly coupled system. In the proposed numerical method, the classical ...

A Robust Adaptive Method for a Quasi-Linear One-Dimensional ...

Parameter uniform numerical method for a system of two coupled singularly perturbed parabolic convection-diffusion equations. Advances in Difference ...