On the convergence of a fourth-order method for a class of singular boundary value problems

DOI10.1016/j.cam.2008.06.005zbMath1188.65105OpenAlexW2103238585MaRDI QIDQ1002217

J. Martínez

Publication date: 25 February 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.06.005

zbMATH Keywords

finite difference methodnumerical examplesnonlinear heat conductionfourth order methodtwo point singular boundary value problemsChawla's identityoxygen diffusion problem

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) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (16)

Taylor series method for solving a class of nonlinear singular boundary value problems arising in applied science ⋮ A Legendre reproducing kernel method with higher convergence order for a class of singular two-point boundary value problems ⋮ A new high-order numerical method for solving singular two-point boundary value problems ⋮ A boundary shape function iterative method for solving nonlinear singular boundary value problems ⋮ An optimal computational method for a general class of nonlinear boundary value problems ⋮ A note on fourth order method for doubly singular 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 ⋮ An analytical solution for diffusion and nonlinear uptake of oxygen in a spherical cell ⋮ B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems ⋮ A compact finite difference method for a general class of nonlinear singular boundary value problems with Neumann and Robin boundary conditions ⋮ A new high order numerical approach for a class of nonlinear derivative dependent singular boundary value problems ⋮ A high-order \(B\)-spline collocation method for solving nonlinear singular boundary value problems arising in engineering and applied science ⋮ Wavelet solution of a strongly nonlinear Lane-Emden equation ⋮ ON AN ITERATIVE METHOD FOR A CLASS OF 2 POINT & 3 POINT NONLINEAR SBVPS ⋮ A fast numerical scheme for solving singular boundary value problems arising in various physical models

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