The exponential cubic B-spline algorithm for Fisher equation. (May 2016)

• Record Type: Journal Article
• Authors: Dag, Idiris; Ersoy, Ozlem
• Is Part Of: Chaos, solitons and fractals. Volume 86(2016)
• Page Start: 101
• Page End: 106
• Publication Date: 2016-05
• Subjects: Collocation methods -- Exponential cubic B-spline -- Fisher's equation; 02.70.Jn -- 47.35.Fg; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2016.02.031
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: In this study, exponential B-spline collocation method is set up for solving Fisher's equation. Integration of Fisher's equation is managed by use of the exponential cubic B-spline in space and the Crank–Nicolson method in time. The effect of reaction and diffusion is observed by studying three test problems. A comparison is performed between the obtained numerical results and some earlier results using L ∞ and relative error norms.