An asymptotic numerical method for singularly perturbed third-order ordinary differential equations of convection-diffusion type.

DOI10.1016/S0898-1221(02)00183-9zbMath1035.65086MaRDI QIDQ1416279

N. Ramanujam, S. Valarmathi

Publication date: 14 December 2003

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

numerical examplesfinite difference schemeboundary value problemSingular perturbationdecoupled systemBoundary layerboundary value techniqueAsymptotic expansion approximationExponentially fittedNon-self-adjointThird-order differential equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) 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)

Related Items (21)

The existence, uniqueness and asymptotic estimates of solutions for third-order full nonlinear singularly perturbed vector boundary value problems ⋮ Chebyshev differential quadrature for numerical solutions of third- and fourth-order singular perturbation problems ⋮ A rational spectral collocation method for third-order singularly perturbed problems ⋮ Singularly perturbed third-order boundary value problem for nonlinear systems ⋮ Piecewise approximate analytical solutions of high-order singular perturbation problems with a discontinuous source term ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ Uniformly convergent finite difference method for reaction-diffusion type third order singularly perturbed delay differential equation ⋮ Uniformly convergent scheme for fourth-order singularly perturbed convection-diffusion ODE ⋮ Asymptotic numerical method for third-order singularly perturbed convection diffusion delay differential equations ⋮ Local discontinuous Galerkin method for a third-order singularly perturbed problem of convection-diffusion type ⋮ Numerical solution of a fourth‐order singularly perturbed boundary value problem with discontinuities via Haar wavelets ⋮ Existence and uniqueness results for third-order nonlinear differential systems ⋮ Spectral methods for some singularly perturbed third order ordinary differential equations ⋮ A recent survey on computational techniques for solving singularly perturbed boundary value problems ⋮ The rational spectral method combined with the Laplace transform for solving the Robin time-fractional equation ⋮ Singular perturbations for third-order nonlinear multi-point boundary value problem ⋮ Fitted numerical method with linear interpolation for third-order singularly perturbed delay problems ⋮ An asymptotic numerical fitted mesh method for singularly perturbed third order ordinary differential equations of reaction-diffusion type ⋮ Asymptotic numerical methods for singularly perturbed fourth order ordinary differential equations of convection-diffusion type ⋮ Computational methods for solving two-parameter singularly perturbed boundary value problems for second-order ordinary differential equations ⋮ Unnamed Item

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