A note on variable step-size formulation of a Simpson's-type second derivative block method for solving stiff systems. (February 2017)

• Record Type: Journal Article
• Authors: Ramos, Higinio; Singh, Gurjinder
• Is Part Of: Applied mathematics letters. Volume 64(2017:Feb.)
• Page Start: 101
• Page End: 107
• Publication Date: 2017-02
• Subjects: Ordinary differential equations -- Initial value problems -- Block methods -- Embedded strategy -- Variable stepsize formulation; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2016.08.012
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: In this paper, a variable step-size formulation of a Simpson's-type second derivative block method is considered as an embedded-type method. This embedded-type method is more effective than its existing fixed step-size counterpart. The numerical experiments considered revealed the superiority of the variable step-size version of the method in comparison with methods of similar characteristics in the literature.