4 results for “multistep methods”

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Research ArticleOpen accessPhrase in the titleSolving Volterra's Population Model Using New Second Derivative Multistep MethodsK. Parand, G. HojjatiIn this study new second derivative multistep methods (denoted SDMM) are used to solve Volterra's model for population growth of a species within a closed system. This model is a nonlinear integro-differential where the integral term represents the effect of toxin. This model is first converted to a nonlinear ordinary differential equation and then the new SDMM, which has good … …American Journal of Applied Sciences, Vol. 5, Issue 8 · 31 Aug 2008 · 6,910 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsAn Embedded Explicit Hybrid Method for Ordinary Differential EquationsF. Samat, F. IsmailProblem statement: Many differential systems that appear in practice were special second-order ordinary differential equations of the form y" = f (x, y). In the past research, there was a continuous need for methods for numerically solving these equations. Approach: This study describes the derivation and implementation of a pair of embedded explicit hybrid methods for solving non-stiff second-order ordinary … …Journal of Mathematics and Statistics, Vol. 8, Issue 1 · 23 Dec 2011 · 7,423 accessesView PDF Cite

Research ArticleOpen accessIn the abstractNew 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 · 8,237 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordMultistep Collocation Block Method for Direct Solution of Second Order Ordinary Differential EquationsJohn Olusola Kuboye, Zurni OmarIn this study, block method of order six for solving second order ordinary differential equations is developed. The method of interpolation of approximated power series and collocation of its second derivative is adopted in the derivation of the method. The developed method is applied in block form to produce approximate solution at five points simultaneously. The stability properties of the … …American Journal of Applied Sciences, Vol. 12, Issue 9 · 13 Oct 2015 · 6,569 accessesView PDF Cite