A higher order accurate solution decomposition scheme for a singularly perturbed parabolic reaction-diffusion equation

DOI10.1134/S0965542515030161zbMath1318.65056OpenAlexW2045641771MaRDI QIDQ2354456

L. P. Shishkina, G. I. Shishkin

Publication date: 13 July 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542515030161

zbMATH Keywords

\(\varepsilon\)-uniform convergencemaximum normsingularly perturbed initial-boundary value problemparabolic reaction-diffusion equationimproved Richardson difference schemenumerical-analytical schemeperturbation parameter \(\varepsilon\)solution decomposition method

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (1)

Difference Schemes of High Accuracy Order on Uniform Grids for a Singularly Perturbed Parabolic Reaction-Diffusion Equation

Cites Work

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• Improved difference scheme of the solution decomposition method for a singularly perturbed reaction-diffusion equation
• The Richardson method for increasing the accuracy of grid solutions of singularly perturbed elliptic equations of convection-diffusion
• A higher-order Richardson method for a quasilinear singularly perturbed elliptic reaction-diffusion equation
• Differencing scheme for a differential equation with a small parameter affecting the highest derivative
• Improved approximations of the solution and derivatives to a singularly perturbed reaction-diffusion equation based on the solution decomposition method
• A higher order richardson scheme for a singularly perturbed semilinear elliptic convection-diffusion equation
• A Richardson scheme of the decomposition method for solving singularly perturbed parabolic reaction-diffusion equation
• Approximation of the solutions of singularly perturbed boundary-value problems with a parabolic boundary layer
• Difference Methods for Singular Perturbation Problems
• Difference scheme of the solution decomposition method for a singularly perturbed parabolic reaction–diffusion equation
• The Richardson scheme for the singularly perturbed parabolic reaction-diffusion equation in the case of a discontinuous initial condition
• The optimization of methods of solving boundary value problems with a boundary layer
• RELAXATION METHODS APPLIED TO DETERMINE THE MOTION, IN TWO DIMENSIONS, OF A VISCOUS FLUID PAST A FIXED CYLINDER

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