Spectral methods for some singularly perturbed problems with initial and boundary layers

DOI10.1080/00207168808803658zbMath0661.65082OpenAlexW2013058233MaRDI QIDQ3811623

R. S. Temsah, M. A.-K. Ibrahim

Publication date: 1988

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207168808803658

zbMATH Keywords

singular perturbationnumerical examplescollocationspectral tau methods

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15)

Related Items (10)

Numerical study of magnetohydrodynamics generalized Couette flow of Eyring-Powell fluid with heat transfer and slip condition ⋮ Numerical solution of electrodynamic flow by using pseudo-spectral collocation method ⋮ Lower bounds of error estimates for singular perturbation problems with Jacobi-spectral approximations ⋮ A Chebyshev spectral collocation method for solving Burgers'-type equations ⋮ Spectral methods for some singularly perturbed third order ordinary differential equations ⋮ Chebyshev solution of the nearly-singular one-dimensional Helmholtz equation and related singular perturbation equations: multiple scale series and the boundary layer rule-of-thumb ⋮ Numerical solutions for convection-diffusion equation using El-Gendi method ⋮ Multiple solutions of mixed convection in a porous medium on semi-infinite interval using pseudo-spectral collocation method ⋮ Chebyshev spectral collocation method for stochastic delay differential equations ⋮ A survey of numerical techniques for solving singularly perturbed ordinary differential equations

Cites Work

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