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A robust numerical technique for weakly coupled system of parabolic singularly perturbed reaction–diffusion equations
This article presents a uniformly convergent numerical technique for a time-dependent reaction-dominated singularly perturbed system, including the...
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An orthogonal spline collocation method for singularly perturbed parabolic reaction–diffusion problems with time delay
In this article, a numerical technique is developed and analyzed for singularly perturbed delay parabolic reaction–diffusion problems with Dirichlet...
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Absolutely stable fitted mesh scheme for singularly perturbed parabolic convection diffusion equations
In this article, an absolutely stable difference scheme is investigated for solving singularly perturbed time dependent convection–diffusion...
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Error estimation for non-linear singularly perturbed reaction–diffusion parabolic problems via element-free Galerkin method
The current study aims to develop an error analysis for non-linear parabolic singularly perturbed reaction–diffusion problems using element-free...
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An iterative analytic approximation for a class of nonlinear singularly perturbed parabolic partial differential equations
In this article, a closed-form iterative analytic approximation to a class of nonlinear singularly perturbed parabolic partial differential equation...
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Exponentially Fitted Robust Scheme for the Solution of Singularly Perturbed Delay Parabolic Differential Equations with Integral Boundary Condition
In this paper, an exponentially fitted finite difference method is developed to solve singularly perturbed delay parabolic partial differential...
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Fitted Difference Scheme on a Non-uniform Mesh for Singularly Perturbed Parabolic Reaction–Diffusion with Large Negative Shift and Non-local Boundary Condition
In this paper, we study the numerical solution of singularly perturbed parabolic reaction–diffusion problems with large delay in space, and the right...
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A numerical method for singularly perturbed convection–diffusion–reaction equations on polygonal meshes
In this paper, we design and develop a weak Galerkin finite-element numerical method for solving singularly perturbed convection–diffusion–reaction...
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Boundary-Value Problem for Singularly Perturbed Integro-Differential Equation with Singularly Perturbed Neumann Boundary Condition
AbstractWe consider a boundary-value problem for singularly perturbed integro-differential equation describing stationary reaction–diffusion...
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Uniformly Convergent Numerical Scheme for Solving Singularly Perturbed Parabolic Convection-Diffusion Equations with Integral Boundary Condition
The singularly perturbed parabolic convection-diffusion equations with integral boundary conditions and a large negative shift are studied in this...
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Regularized Lardy Scheme for Solving Singularly Perturbed Elliptic and Parabolic PDEs
Singularly perturbed partial differential equations occur in many practical problems. These equations are characterized mathematically by the...
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Fitted operator method for parabolic singularly perturbed convection-diffusion problems via polynomial cubic spline
This article introduces a new fitted operator method for singularly perturbed parabolic convection-diffusion having right boundary layer. We...
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Uniformly convergent finite difference methods for singularly perturbed parabolic partial differential equations with mixed shifts
In this paper, exponentially fitted finite difference methods are presented for singularly perturbed one-dimensional parabolic partial differential...
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Uniform convergence analysis of a new adaptive upwind finite difference method for singularly perturbed convection-reaction-diffusion boundary value problems
In this paper, a new adaptive upwind finite difference method based on the arc-length equidistribution principle is studied for solving the general...
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Efficient computational method for singularly perturbed Burger-Huxley equations
This paper focuses on an efficient computational method for solving the singularly perturbed Burger-Huxley equations. The difficulties encountered in...
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Fitted mesh scheme for singularly perturbed parabolic convection–diffusion problem exhibiting twin boundary layers
In this paper, fitted mesh numerical scheme is presented for solving singularly perturbed parabolic convection–diffusion problem exhibiting twin...
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A tension spline fitted numerical scheme for singularly perturbed reaction-diffusion problem with negative shift
ObjectiveThe paper is focused on develo** and analyzing a uniformly convergent numerical scheme for a singularly perturbed reaction-diffusion...
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An efficient numerical approach for singularly perturbed time delayed parabolic problems with two-parameters
ObjectivesThe main objective of this work is to design an efficient numerical scheme is proposed for solving singularly perturbed time delayed...
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Existence and Stability of Periodic Solution of Contrast Structure Type in Discontinuous Singularly Perturbed Reaction–Convection–Diffusion Problem
AbstractA singularly perturbed periodic problem is investigated for the reaction–diffusion–advection equation in the case of a discontinuous source...
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A Robust Numerical Scheme via Grid Equidistribution for Singularly Perturbed Delay Partial Differential Equations Arising in Control Theory
In this paper, a model constituting the temperature control of a continuous casting process is considered. This model gives rise to singularly...
