Cubic spline method for a class of nonlinear singularly-perturbed boundary-value problems

DOI10.1007/BF00939375zbMath0790.65072OpenAlexW2009772758MaRDI QIDQ1321309

Mohan K. Kadalbajoo, Rajesh K. Bawa

Publication date: 23 June 1994

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

Full work available at URL: https://doi.org/10.1007/bf00939375

zbMATH Keywords

convergenceboundary layertest examplesfourth-order cubic splinenon-asymptotic methodsnonlinear, singularly perturbed two-point boundary-value problems

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)

Related Items (9)

A new variable mesh method based on non-polynomial spline in compression approximations for 1D quasilinear hyperbolic equations ⋮ Comparison of direct to shooting enclosures for an inverse-monotone boundary value problem with locally steep solution ⋮ A new numerical method based on non-polynomial spline in tension approximations for 1D quasilinear hyperbolic equations on a variable mesh ⋮ A fourth-order finite difference method based on spline in tension approximation for the solution of one-space dimensional second-order quasi-linear hyperbolic equations ⋮ High accuracy cubic spline finite difference approximation for the solution of one-space dimensional non-linear wave equations ⋮ A new high accuracy non-polynomial tension spline method for the solution of one dimensional wave equation in polar co-ordinates ⋮ B-spline collocation method for nonlinear singularly-perturbed two-point boundary-value problems ⋮ New nonpolynomial spline in compression method of \(O(k^2+k^4)\) for the solution of 1D wave equation in polar coordinates ⋮ High-order perturbation-difference scheme for a convection-diffusion problem

Cites Work

• Initial-value technique for a class of nonlinear singular perturbation problems
• Perturbation methods in applied mathematics
• A boundary value technique for singular perturbation problems
• Unnamed Item
• Unnamed Item

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