A piecewise-analytical method for singularly perturbed parabolic problems

DOI10.1016/j.amc.2003.12.045zbMath1061.65088OpenAlexW2101862158MaRDI QIDQ1763314

Juan I. Ramos

Publication date: 22 February 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.12.045

zbMATH Keywords

numerical examplessemidiscretizationParabolic equationsAdvection-reaction-diffusion equationsPiecewise-analytical methodSingularly perturbations

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (8)

Numerical solution of sigularly perturbed parabolic problems by a local kernel-based method with an adaptive algorithm ⋮ Numerical solution of the convection diffusion equations by the second kind Chebyshev wavelets ⋮ Numerical methods for nonlinear second-order hyperbolic partial differential equations. II: Rothe's techniques for 1-D problems ⋮ Fitted numerical methods for singularly perturbed one-dimensional parabolic partial differential equations with small shifts arising in the modelling of neuronal variability ⋮ Numerical solutions of singularly perturbed one-dimensional parabolic convection-diffusion problems by the Bessel collocation method ⋮ Modified variational iteration algorithm-II: convergence and applications to diffusion models ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Singular perturbation methods for ordinary differential equations
• On diffusive methods and exponentially fitted techniques
• Linearized factorization techniques for multidimensional reaction-diffusion equations
• Ten ways to generate the Il'in and related schemes
• Special meshes for finite difference approximations to an advection- diffusion equation with parabolic layers
• A uniformly convergent scheme on a nonuniform mesh for convection-diffusion parabolic problems
• Numerical method for boundary layers with blowing - The exponential box scheme
• RELAXATION METHODS APPLIED TO DETERMINE THE MOTION, IN TWO DIMENSIONS, OF A VISCOUS FLUID PAST A FIXED CYLINDER
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