Search
Search Results
-
Internal Transition Layer Structure in the Reaction–Diffusion Problem for the Case of a Balanced Reaction with a Weak Discontinuity
AbstractFor a singularly perturbed reaction–diffusion equation, we study the structure of the internal transition layer in the case of a balanced...
-
An efficient numerical method for coupled systems of singularly perturbed parabolic delay problems
In this work, a coupled system of two singularly perturbed delay parabolic reaction–diffusion problems is considered. In each equation the diffusion...
-
Convergence Analysis of a Layer Resolving Numerical Techniquefor a Class of Coupled System of Singularly Perturbed Parabolic Convection-Diffusion Equations Having an Interface
In this article, we consider a time-dependent weakly coupled system of \( m(\ge 2) \)...
-
A robust numerical algorithm on harmonic mesh for parabolic singularly perturbed convection-diffusion problems with time delay
This article deals with the class of singularly perturbed convection-diffusion problem with time delay. A parameter uniform numerical method is...
-
Existence and stability of a stable stationary solution with a boundary layer for a system of reaction–diffusion equations with Neumann boundary conditions
AbstractWe consider an initial boundary value problem for a singularly perturbed parabolic system of two reaction–diffusion-type equations with...
-
Superconvergence error estimates of discontinuous Galerkin time step** for singularly perturbed parabolic problems
A parabolic convection-diffusion-reaction problem is discretized by the non-symmetric interior penalty Galerkin (NIPG) method in space and...
-
Additive schemes based domain decomposition algorithm for solving singularly perturbed parabolic reaction-diffusion systems
In this paper, we examine a 1D parabolic coupled system of singularly perturbed reaction-diffusion problems in which perturbation parameters can be...
-
An effective numerical approach for two parameter time-delayed singularly perturbed problems
A numerical scheme for the two-parameter singularly perturbed parabolic initial-boundary-value problems with a delay in time is considered. The...
-
Efficient approximation of solution derivatives for system of singularly perturbed time-dependent convection-diffusion PDEs on Shishkin mesh
This article deals with a coupled system of singularly perturbed convection-diffusion parabolic partial differential equations (PDEs) possessing...
-
Asymptotics of the Solution to a Stationary Piecewise-Smooth Reaction-Diffusion-Advection Equation
A singularly perturbed boundary value problem for a piecewise-smooth nonlinear stationary equation of reaction-diffusion-advection type is studied. A...
-
Singularly Perturbed Problems with Multi-Tempo Fast Variables
AbstractThe article contains a survey of publications studying problems characterized by the presence of fast variables with various rates of change...
-
An ε-Uniform Method for Singularly Perturbed 2D Convection Dominated Elliptic Boundary Value Problems with Delay and Advance
This article investigates linear two-dimensional elliptic singularly perturbed problems with delay and advance terms in both directions of the...
-
-
An almost second order parameter uniform scheme for 2D singularly perturbed boundary turning point problem
In this article, we propose to construct and analyze a higher order parameter uniform numerical scheme for a class of two dimensional (2D) parabolic...
-
Periodic Boundary Layer Solutions of a Reaction–Diffusion Problem with Singularly Perturbed Boundary Conditions of the Third Kind
AbstractWe prove the existence and study the stability of time-periodic boundary layer solutions for a two-dimensional reaction–diffusion problem...
-
Finite difference scheme for singularly perturbed reaction diffusion problem of partial delay differential equation with nonlocal boundary condition
This paper investigates singularly perturbed parabolic partial differential equations with delay in space, and the right end plane is an integral...
-
Error Control for Approximate Solutions of a Class of Singularly Perturbed Boundary Value Problems
AbstractReaction–convection–diffusion equations with a small parameter at the highest derivative are considered. The question as to how the accuracy...
-
Numerical Method for a Boundary Value Problem for a Linear System of Partially Singularly Perturbed Parabolic Delay Differential Equations of Reaction-Diffusion Type
The problem of a partially singularly perturbed boundary value problem for a linear system of reaction-diffusion type parabolic second-order delay...
-
Numerical Analysis of a Finite Difference Method for a Linear System of Singularly Perturbed Parabolic Delay Differential Reaction-Diffusion Equations with Discontinuous Source Terms
On the rectangular domain $$\varDelta =\{(x,t) : 0<2, 0
-
Almost second order parameter-uniform convergent alternate overlap** Schwarz method for singularly perturbed convection-diffusion problems
We propose an alternate overlap** Schwarz method to solve the singularly perturbed problems of convection-diffusion type. The method decomposes the...