Hybrid difference scheme for singularly perturbed reaction-convection-diffusion problem with boundary and interior layers

DOI10.1016/j.amc.2017.06.029zbMath1426.65105OpenAlexW2737329883MaRDI QIDQ1740097

Xianqiang Yang

Publication date: 29 April 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2017.06.029

zbMATH Keywords

singular perturbation problemhybrid difference schemeboundary and interior layersreaction-convection-diffusiontwo-parameter problem

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

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Uniformly convergent scheme for two‐parameter singularly perturbed problems with non‐smooth data ⋮ A numerical approach for diffusion-dominant two-parameter singularly perturbed delay parabolic differential equations ⋮ An adaptive grid method for a singularly perturbed convection-diffusion equation with a discontinuous convection coefficient ⋮ Near-ordinary periodic waves of a generalized reaction-convection-diffusion equation ⋮ Numerical study of a singularly perturbed two parameter problems on a modified Bakhvalov mesh ⋮ Hybrid difference scheme for singularly perturbed convection diffusion boundary turning point problems with discontinuous source term ⋮ A non-uniform difference scheme for solving singularly perturbed 1D-parabolic reaction-convection-diffusion systems with two small parameters and discontinuous source terms ⋮ ON THE ASYMPTOTIC SOLUTION TO A TYPE OF PIECEWISE-CONTINUOUS SECOND-ORDER DIRICHLET PROBLEMS OF TIKHONOV SYSTEM

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