Numerical integration of a class of singular perturbation problems

DOI10.1007/BF00940284zbMath0579.65081OpenAlexW2080357803MaRDI QIDQ1067371

Mohan K. Kadalbajoo, Y. N. Reddy

Publication date: 1986

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00940284

zbMATH Keywords

numerical experimentsboundary layertrapezoidal formuladiscrete invariant imbedding algorithm

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) 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 (5)

On the numerical integration of a class of singular perturbation problems ⋮ Asymptotic and numerical analysis of singular perturbation problems: A survey ⋮ A novel fitted method for a class of singularly perturbed differential-difference equations with small delay exhibiting twin layer or oscillatory behaviour ⋮ A novel approach for the numerical approximation to the solution of singularly perturbed differential-difference equations with small shifts ⋮ A survey of numerical techniques for solving singularly perturbed ordinary differential equations

Cites Work

• Differential-difference equations
• Perturbation methods in applied mathematics
• Dynamic programming and partial differential equations
• Ordinary and delay differential equations
• Numerical integration of a differential-difference equation with a decreasing time-lag
• On a Differential Equation of Boundary Layer Type
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