Direct integrators for the general third-order ordinary differential equations with an application to the Korteweg-de Vries equation
type: Item
instance of: scholarly article
title: Direct integrators for the general third-order ordinary differential equations with an application to the Korteweg-de Vries equation
zbMATH Open document ID: 1401.65072
author: Temitayo Okunlola
author: T. A. Biala
author: R. B. Adeniyi
author: Samuel N. Jator
published in: International Journal of Applied and Computational Mathematics
publication date: 2018-10-15T00:00:00Z
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L12
zbMATH DE Number: 6954781
zbMATH Keywords: boundary value methods
zbMATH Keywords: third order problems
zbMATH Keywords: convergence
zbMATH Keywords: linear multistep methods
zbMATH Keywords: Korteweg-de Vries equation
Wikidata QID: Q115372430
MaRDI profile type: Publication
full work available at URL: s40819-018-0542-6
OpenAlex ID: W2887865291
cites work: A P-Stable Linear Multistep Method For Solving General Third Order Ordinary Differential Equations
cites work: The solution of a class of third-order boundary value problems by the reproducing kernel method
cites work: New algorithm for the numerical solutions of nonlinear third-order differential equations using Jacobi-Gauss collocation method
cites work: High-order multistep methods for boundary value problems
cites work: Q4393432
cites work: Stability properties of some boundary value methods
cites work: A self-starting linear multistep method for a direct solution of the general second-order initial value problem
cites work: A continuous two-step method of order 8 with a block extension for \(y''= f(x,y,y')\)
cites work: Fourth-order improved Runge-Kutta method for directly solving special third-order ordinary differential equations
cites work: A class of hybrid methods for direct integration of fourth-order ordinary differential equations
cites work: Q5305200
cites work: Solving directly general third order ordinary differential equations using two-point four step block method
cites work: Q3584733
cites work: Direct numerical methods for solving a class of third-order partial differential equations
cites work: Embedded explicit Runge-Kutta type methods for directly solving special third order differential equations \(y''' = f(x, y)\)
cites work: Direct integrators of Runge-Kutta type for special third-order ordinary differential equations
cites work: Symmetric boundary value methods for second order initial and boundary value problems
cites work: A boundary value approach to the numerical solution of initial value problems by multistep methos†
cites work: Parallel implementation of block boundary value methods for ODEs
cites work: An algorithm for second order initial and boundary value problems with an automatic error estimate based on a third derivative method
cites work: PGSCM: A family of \(P\)-stable boundary value methods for second-order initial value problems
cites work: Numerical approximations of second order PDEs by boundary value methods and the method of lines
cites work: Variable stepsize implementation of multistep methods for \(y\prime\prime =f(x,y,y^{\prime})\)
cites work: Continuous finite difference approximations for solving differential equations
cites work: Non-polynomial spline method for solving Bratu's problem
cites work: Cubic spline solution of two-point boundary value problems with significant first derivatives
cites work: Q3635647
cites work: Q5303258
cites work: Superconvergence of the local discontinuous Galerkin method for the linearized Korteweg-de Vries equation
cites work: A mesh-free method for the numerical solution of the KdV-Burgers equation
DOI: 10.1007/S40819-018-0542-6
description: scientific article; zbMATH DE number 6954781