A second order finite difference method and its convergence for a class of singular two-point boundary value problems

DOI10.1016/S0096-3003(02)00645-8zbMath1032.65086OpenAlexW2043491744MaRDI QIDQ1412575

Manoj Kumar

Publication date: 25 November 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00645-8

zbMATH Keywords

convergencefinite difference methodnumerical examplessngular two-point 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) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (3)

Cubic Hermite collocation method for solving boundary value problems with Dirichlet, Neumann, and Robin conditions ⋮ Numerical method for a class of singular non-linear boundary value problems using Green's functions ⋮ High order hybrid asymptotic augmented finite volume methods for nonlinear degenerate wave equations

Cites Work

• Finite difference methods and their convergence for a class of singular two point boundary value problems
• On the convergence of finite-difference approximations to one-dimensional singular boundary-value problems
• Finite Element Methods of High-Order Accuracy for Singular Two-Point Boundary Value Problems with Nonsmooth Solutions

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