2026-05-01T06:53:00Z 2016-04-30T21:00:00Z http://www.ntmsci.com/jacm/ajaxtool/oai

oai:ntmsci.com/jacm/ajaxtool/oai:article/7153 2016-04-30T21:00:00Z 1

Collocation Method with Quintic B-Spline Method for Solving the Hirota equation Khalid Ali, Kamal Raslan, Talaat El Danaf Collocation Method; Quintic B-Splines method; Hirota equation. In the present article, a numerical method is proposed for the numerical solution of the Hirota equation by using collocation method with the quintic B-spline. We show that the method is unconditionally stable by using Von-Neumann technique. To test accuracy the error norms L2, L? are computed. Two invariants of motion are predestined to locate the conservation properties of the problem, and the numerical scheme give careful and active results. Furthermore, interaction of two and three solitary waves are shown. These results show that the technique introduced here is plain to apply. Journal of Abstract and Computational Mathematics Journal of Abstract and Computational Mathematics 2016-04-30T21:00:00Z Research Article application/pdf http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7153 ISSN: 2149-7168 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7153 Journal of Abstract and Computational Mathematics, Year:2016, Vol:1, Issue:1 http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7153