A fourth-order finite-difference method based on non-uniform mesh for a class of singular two-point boundary value problems

DOI10.1016/S0377-0427(00)00624-5zbMath0990.65086MaRDI QIDQ5948587

Tariq Aziz, Manoj Kumar

Publication date: 18 July 2002

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

zbMATH Keywords

convergencenumerical examplesfinite difference methodsnon-uniform meshessingular two-point boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (17)

Parametric spline method for a class of singular two-point boundary value problems ⋮ A uniform mesh finite difference method for a class of singular two-point boundary value problems ⋮ B-spline and singular higher-order boundary value problems ⋮ Solving a class of singular two-point boundary value problems using new modified decomposition method ⋮ A new analytical and numerical treatment for singular two-point boundary value problems via the Adomian decomposition method ⋮ New approach for solving a class of doubly singular two-point boundary value problems using Adomian decomposition method ⋮ A new numerical algorithm for two-point boundary value problems ⋮ Computational technique for singular boundary value problems by using numerical quadrature ⋮ A non-uniform mesh finite difference method and its convergence for a class of singular two-point boundary value problems ⋮ An efficient semi-numerical technique for solving nonlinear singular boundary value problems arising in various physical models ⋮ Higher order method for singular boundary-value problems by using spline function ⋮ Numerical solution of singular boundary value problems using Green's function and improved decomposition method ⋮ A new high accuracy method in exponential form based on off-step discretization for non-linear two point boundary value problems ⋮ A collection of computational techniques for solving singular boundary-value problems ⋮ On the Convergence of Finite Difference Method for General Singular Boundary Value Problems ⋮ A fourth-order spline finite difference method for singular two-point boundary value problems ⋮ A NEW THIRD ORDER EXPONENTIALLY FITTED DISCRETIZATION FOR THE SOLUTION OF NON-LINEAR TWO POINT BOUNDARY VALUE PROBLEMS ON A GRADED MESH

Cites Work

• Finite difference methods and their convergence for a class of singular two point boundary value problems
• On a collocation method for singular two point boundary value problems
• Projection methods and singular two point boundary value problems
• On the convergence of finite-difference approximations to one-dimensional singular boundary-value problems
• Numerical methods of high-order accuracy for singular nonlinear boundary value problems
• A numerical method for solving singular boundary value problems
• Numerical Methods for Singular Boundary Value Problems

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