14 articles for “Collocation”

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Research ArticleOpen accessIn the keywordsA Pseudo Spline Methods for Solving an Initial Value Problem of Ordinary Differential EquationB.S. Ogundare, G.E. OkechaNew scheme for solving initial value problem of ordinary differential equation was derived. Starting from the general method of deriving the spline function, the scheme was developed based on interpolation and collocation. …Journal of Mathematics and Statistics, Vol. 4, Issue 2 · 30 Jun 2008 · 6,809 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsNew Hybrid Block Method with Three Off-Step Points for Solving First Order Ordinary Differential EquationsRa’ft Abdelrahim, Zurni Omar, John Olusola KuboyeA new single-step hybrid block method with three off-step points for the solution of first order ordinary differential equations is proposed. The strategy employed to develop this method is interpolating the power series approximate solution at xn and off-step points and collocating the derivative of the power at xn+1. The class of linear multistep method derived is then simultaneously applied … …American Journal of Applied Sciences, Vol. 13, Issue 2 · 18 Feb 2016 · 8,234 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsWhy Construction Grammar Catches the Worm and Corpus Data can Drive you Crazy: Accounting for Idiomatic and Non-Idiomatic IdiomaticityThomas HerbstThis article outlines why the treatment of idiomatic elements in language in terms of constructions can be considered a real step forward in the understanding of the character of language. It is argued that construction grammar provides a theoretical basis for accommodating insights into the phraseological character of language that were gained in a number of fields such as corpus … …Journal of Social Sciences, Vol. 11, Issue 3 · 11 Sep 2015 · 8,788 accessesView PDF Cite

Research ArticleOpen accessIn the abstractA New Block Method for Special Third Order Ordinary Differential EquationsB. T. Olabode, Y. YusuphA linear multistep method for the direct solution of initial value problems of ordinary differential equations was presented in this article. Collocation approximation method was adopted in the derivation of the scheme and then the scheme was applied as simultaneous integrator to special third order initial value problem of ordinary differential equations. The new block method possessed the desirable feature … …Journal of Mathematics and Statistics, Vol. 5, Issue 3 · 30 Sep 2009 · 7,707 accessesView PDF Cite