Spline solution of non-linear singular boundary value problems

DOI10.1080/00207160701293048zbMath1131.65065OpenAlexW2109282482MaRDI QIDQ5438693

Jalil Rashidinia, Reza Mohammadi, Reza Jalilian

Publication date: 28 January 2008

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

Full work available at URL: https://doi.org/10.1080/00207160701293048

zbMATH Keywords

convergencenumerical examplesquasilinearizationphysiology applicationsnon-polynomial cubic splinenon-linear singular 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) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (14)

Multigrid methods for cubic spline solution of two point (and 2D) boundary value problems ⋮ High accuracy cubic spline approximation for two dimensional quasi-linear elliptic boundary value problems ⋮ Non-polynomial spline functions and Quasi-linearization to approximate nonlinear Volterra integral equation ⋮ Fractal cubic spline methods for singular boundary-value problems ⋮ An optimal computational method for a general class of nonlinear boundary value problems ⋮ Numerical solution of doubly singular boundary value problems by finite difference method ⋮ A superconvergent B-spline technique for second order nonlinear boundary value problems ⋮ Fractal quintic spline method for nonlinear boundary-value problems ⋮ Sinc-Galerkin method for solving nonlinear weakly singular two point boundary value problems ⋮ B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems ⋮ A new high order numerical approach for a class of nonlinear derivative dependent singular boundary value problems ⋮ Cubic spline iterative method for Poisson's equation in cylindrical polar coordinates ⋮ A fast numerical scheme for solving singular boundary value problems arising in various physical models ⋮ Convergence analysis of non-polynomial spline functions for the Fredholm integral equation

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