Numerical methods for special nonlinear boundary-value problems of order \(2m\)

DOI10.1016/0377-0427(93)90088-SzbMath0780.65046OpenAlexW2045519776MaRDI QIDQ2367493

K. Djidjeli, A. Boutayeb, E. H. Twizell

Publication date: 16 August 1993

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

Full work available at URL: https://doi.org/10.1016/0377-0427(93)90088-s

zbMATH Keywords

numerical examplesfinite difference methodsdirect algorithmsindirect algorithmsequivalent second-order systemshigh-order 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)

Related Items (21)

A mini-review of numerical methods for high-order problems† ⋮ SPLINES SOLUTIONS OF HIGHER-ORDER BVPs THAT ARISE IN CONSISTENT MAGNETIZED FORCE FIELD ⋮ The Chebyshev collocation-path following method for solving sixth-order Sturm-Liouville problems ⋮ Spline solutions of linear eighth-order boundary-value problems ⋮ He's homotopy-perturbation method for solving higher-order boundary value problems ⋮ Numerical solution of sixth order boundary value problems with sixth degree B-spline functions ⋮ Variational iteration method for solving twelfth-order boundary-value problems using He's polynomials ⋮ A Comparison Study of HO-CFD and DSC-RSK with Small Computational Bandwidths for Solving Some Classes of Boundary-Value and Eigenvalue Problems ⋮ A numerical scheme for multi-point special boundary-value problems and application to fluid flow through porous layers ⋮ An Efficient Iterative Method for Nonlinear Boundary Value Problems with Existence and Uniqueness ⋮ A note on the numerical solution of high-order differential equations ⋮ Spline solutions of linear sixth-order boundary-value problems ⋮ Variational iteration decomposition method for solving eighth-order boundary value problems ⋮ Spline solutions of linear twelfth-order boundary-value problems ⋮ Solution of twelfth-order boundary value problems by variational iteration technique ⋮ Application of least square method to arbitrary-order problems with separated boundary conditions ⋮ Spline solutions of linear tenth-order boundary-value problems^∗ ⋮ Numerical methods for nonlinear fourth-order boundary value problems with applications ⋮ Numerical investigation of the solution of higher-order boundary value problems via Euler matrix method ⋮ VARIATIONAL ITERATION METHOD FOR SOLVING NONLINEAR HIGHER-ORDER INITIAL AND BOUNDARY VALUE PROBLEMS ⋮ Approximate solutions to boundary value problems of higher order by the modified decomposition method

Cites Work

• Finite-difference methods for twelfth-order boundary-value problems
• Numerical methods for the solution of special and general sixth-order boundary-value problems, with applications to Bénard layer eigenvalue problems
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