A Fourth-order Tridiagonal Finite Difference Method for General Two-point Boundary Value Problems with Non-linear Boundary Conditions

DOI10.1093/imamat/22.1.89zbMath0398.65049OpenAlexW2029252791MaRDI QIDQ4181915

M. M. Chawla

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1093/imamat/22.1.89

zbMATH Keywords

Numerical ExamplesNumerical TreatmentOrdinary Differential EquationDifferential EquationNonlinear Boundary Value ProblemFourth-Order Finite Difference Method

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (5)

A modified numerov integration method for general second order initial value Problems ⋮ High order accurate, one-sided finite-difference approximations to concentration gradients at the boundaries, for the simulation of electrochemical reaction-diffusion problems in one-dimensional space geometry. ⋮ A set of compact finite-difference approximations to first and second derivatives, related to the extended Numerov method of Chawla on nonuniform grids ⋮ Adaptive solution of BVPs in singularly perturbed second-order ODEs, by the extended Numerov method combined with an iterative local grid \(h\)-refinement ⋮ Variable mesh methods for the numerical solution of two-point singular perturbation problems

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