New Continuous Hybrid Constant Block Method for the Solution of Third Order Initial Value Problem of Ordinary Differential Equations
K. M. Fasasi
Additional contact information
K. M. Fasasi: Department of Mathematics, Modibbo Adama University of Technology, Yola, Adamawa State, Nigeria
Academic Journal of Applied Mathematical Sciences, 2018, vol. 4, issue 6, 53-60
In this study, a new one step continuous hybrid constant block method is developed using interpolation and collocation of power series approximate solution toÂ solveÂ initial -valueÂ problems involvingÂ third -orderÂ ordinaryÂ differentialÂ equations. The one step block method was augmented by the introduction of off grid points so as to circumvent Dahquist zero stability barrier. The block method is then applied to obtain the solution of two numerical examples for demonstration of the efficiency of the new method. The results are compared with the existing ones in literature and it is concluded that results of Continuous Hybrid Constant Block MethodÂ is more accurate thanÂ when it was implemented inÂ predictor corrector mode or using implicit Runge-Kutta method.
Keywords: Continuous block method; Collocation; Interpolation; Off grid points; Ordinary differential equations (search for similar items in EconPapers)
References: View complete reference list from CitEc
Citations Track citations by RSS feed
Downloads: (external link)
https://www.arpgweb.com/?ic=journal&info=archive&j ... 018&issue=6&volume=4 (text/html)
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
Persistent link: https://EconPapers.repec.org/RePEc:arp:ajoams:2018:p:53-60
Access Statistics for this article
Academic Journal of Applied Mathematical Sciences is currently edited by Dr. Diana Bílková
More articles in Academic Journal of Applied Mathematical Sciences from Academic Research Publishing Group Rahim Yar Khan 64200, Punjab, Pakistan.
Bibliographic data for series maintained by Managing Editor ().