This paper addresses the numerical approximation of solutions to coupled systems of
singularly perturbed reaction–diffusion problems. In particular a hybrid finite difference …

We consider a coupled system of two singularly perturbed reaction–diffusion equations in
one dimension. Associated with the two singular perturbation parameters 0< ε≤ μ≤ 1 are …

We consider a fourth order singularly perturbed boundary value problem (BVP) in one-
dimension and the approximation of its solution by the hp version of the Finite Element …

We consider a coupled system of two singularly perturbed reaction-diffusion equations, with
two small parameters 0< ε≤ μ≤ 1, each multiplying the highest derivative in the equations …

In this paper, two different numerical schemes, namely the Runge-Kutta fourth order method
and the implicit Euler method with perturbation method of the second degree, are applied to …

In this article, we consider p and hp least-squares spectral element methods for one-
dimensional elliptic boundary layer problems. We derive stability estimates and design a …

In this paper the numerical approximation of 1D parabolic singularly perturbed systems with
two equations of reaction–diffusion type is considered. These problems typically exhibit two …

We consider a fourth order singularly perturbed boundary value problem posed in a square
and the approximation of its solution by the hp version of the finite element method on the so …

We apply the multiscale basis functions for the singularly perturbed reaction-diffusion
problem on adaptively graded meshes, which can provide a good balance between the …

In this paper, a hybrid technique of differential quadrature method and Runge-Kutta fourth
order method is employed to analyze reaction-diffusion problems. The obtained results are …