Block hybrid collocation method with application to fourth order differential equations
type: Item
instance of: scholarly article
title: Block hybrid collocation method with application to fourth order differential equations
zbMATH Open document ID: 1394.65063
DOI: 10.1155/2015/561489
author: Lee Ken Yap
author: F. Ismail
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: The block hybrid collocation method with three off-step points is proposed for the direct solution of fourth order ordinary differential equations. The interpolation and collocation techniques are applied on basic polynomial to generate the main and additional methods. These methods are implemented in block form to obtain the approximation at seven points simultaneously. Numerical experiments are conducted to illustrate the efficiency of the method. The method is also applied to solve the fourth order problem from ship dynamics.
Mathematics Subject Classification ID: 65L60
zbMATH DE Number: 6926646
Wikidata QID: Q59119309
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/561489
OpenAlex ID: W2000247808
cites work: Approximate solution of nonlinear system of BVP arising in fluid flow problem
cites work: Q5303226
cites work: The solution of fourth order boundary value problem arising out of the beam-column theory using Adomian decomposition method
cites work: A mini-review of numerical methods for high-order problems†
cites work: A family of numerical methods for the solution of high-order general initial value problems
cites work: Application of the fourth-order Runge-Kutta method for the solution of high-order general initial value problems
cites work: Numerical solution for high order differential equations using a hybrid neural network-optimization method
cites work: Algorithmic collocation approach for direct solution of fourth-order initial-value problems of ordinary differential equations
cites work: An efficient zero-stable numerical method for fourth-order differential equations
cites work: Direct block predictor-corrector method for the solution of general fourth order ODEs
cites work: Solving second order initial value problems by a hybrid multistep method without predictors
cites work: An accurate block hybrid collocation method for third order ordinary differential equations
cites work: Q5719651
description: scientific article; zbMATH DE number 6926646