Fitted mesh B-spline method for solving a class of singular singularly perturbed boundary value problems

DOI10.1080/00207160412331291080zbMath1065.65095OpenAlexW2154392286MaRDI QIDQ4663312

Vivek K. Aggarwal, Mohan K. Kadalbajoo

Publication date: 30 March 2005

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

Full work available at URL: https://doi.org/10.1080/00207160412331291080

zbMATH Keywords

singular perturbationuniform convergencenumerical examplessingular two-point boundary value problemboundary layers\(B\)-spline methodfitted mesh technique

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 (9)

Cubic spline solution of singularly perturbed boundary value problems with significant first derivatives ⋮ Uniform convergent modified weak Galerkin method for convection-dominated two-point boundary value problems ⋮ A numerical technique for solving a class of fourth-order singular singularly perturbed and Emden-Fowler problems arising in astrophysics ⋮ A special class of singular singularly perturbed two-point boundary value problems via fitted mesh B-spline method ⋮ On a class of singular boundary value problems with singular perturbation ⋮ Contrast structure for singular singularly perturbed boundary value problem ⋮ A recent development of computer methods for solving singularly perturbed boundary value problems ⋮ Solution of a class of fourth order singular singularly perturbed boundary value problems by quintic B-spline method ⋮ Solution of Singularly Perturbed Boundary Value Problems with Singularity Using Variable Mesh Finite Difference Method

Cites Work

• On some difference schemes for singular singularly-perturbed boundary value problems
• A singular singularly perturbed boundary value problem of the second order quasilinear systems
• Numerical Methods for Singular Boundary Value Problems
• Asymptotic Analysis of Singular Singularly Perturbed Boundary Value Problems

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