Solution of a class of fourth order singular singularly perturbed boundary value problems by quintic B-spline method

DOI10.1016/j.jnnms.2016.03.002zbMath1353.65082OpenAlexW2344420529MaRDI QIDQ2833427

Ram Kishun Lodhi, Hradyesh Kumar Mishra

Publication date: 18 November 2016

Published in: Journal of the Nigerian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnnms.2016.03.002

zbMATH Keywords

uniform convergencefourth ordernumerical resultquintic B-spline methodsingular singularly perturbed boundary value problems

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) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (5)

Application of new quintic polynomial B-spline approximation for numerical investigation of Kuramoto-Sivashinsky equation ⋮ Numerical approximations based on sextic B-spline functions for solving fourth-order singular problems ⋮ A numerical technique for solving a class of fourth-order singular singularly perturbed and Emden-Fowler problems arising in astrophysics ⋮ Asymptotic numerical method for third-order singularly perturbed convection diffusion delay differential equations ⋮ Non-polynomial quintic spline for solving fourth-order fractional boundary value problems involving product terms

Cites Work

• A Haar wavelet quasilinearization approach for numerical simulation of Burgers' equation
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• Quintic B-spline collocation method for second order mixed boundary value problem
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• Asymptotic Analysis of Singular Singularly Perturbed Boundary Value Problems
• A Singular Singularly-Perturbed Linear Boundary Value Problem
• Fitted mesh B-spline method for solving a class of singular singularly perturbed boundary value problems
• Error Bounds for Interpolating Cubic Splines Under Various End Conditions
• The use of cubic splines in the solution of two-point boundary value problems
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