Asymptotic initial-value method for a system of singularly perturbed second-order ordinary differential equations of convection–diffusion type

DOI10.1080/03057920412331272171zbMath1073.65067OpenAlexW2054203795MaRDI QIDQ4652869

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Publication date: 28 February 2005

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

Full work available at URL: https://doi.org/10.1080/03057920412331272171

zbMATH Keywords

error estimatesasymptotic expansionnumerical examplesboundary value problemssingular perturbationsweakly coupled systeminitial-value methodexponentially fitted difference schemes

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (4)

An asymptotic initial-value method for second order singular perturbation problems of convection-diffusion type with a discontinuous source term ⋮ Solving systems of singularly perturbed convection diffusion problems via initial value method ⋮ Asymptotic initial-value method for second-order singular perturbation problems of reaction-diffusion type with discontinuous source term ⋮ Numerical solutions of a system of singularly perturbed reaction-diffusion problems

Cites Work

• A boundary value technique for singular perturbation problems
• Initial-value technique for singularly perturbed boundary-value problems for second-order ordinary differential equations arising in chemical reactor theory
• Initial-value technique for singularly-perturbed turning-point problems exhibiting twin boundary layers
• Parallel initial-value algorithms for singularly perturbed boundary-value problems
• Asymptotic initial value methods for two-parameter singularly perturbed boundary value problems for second order ordinary differential equations.
• Asymptotic initial-value method for singularly-perturbed boundary-value problems for second-order ordinary differential equations
• An asymptotic initial value method for boundary value problems for a system of singularly perturbed second order ordinary differential equations.
• A numerical method for a system of singularly perturbed reaction-diffusion equations
• Initial-value methods for second-order singularly perturbed boundary- value problems
• ‘Shooting method' for singular perturbation problems arising in chemical reactor theory
• A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction-diffusion problems
• On a Differential Equation of Boundary Layer Type

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