The exponential cubic B-spline algorithm for Fisher equation
CHAOS SOLITONS & FRACTALS, cilt.86, ss.101-106, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 86
- Basım Tarihi: 2016
- Doi Numarası: 10.1016/j.chaos.2016.02.031
- Dergi Adı: CHAOS SOLITONS & FRACTALS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.101-106
- Anahtar Kelimeler: Collocation methods, Exponential cubic B-spline, Fisher's equation, NUMERICAL-SOLUTION, WAVE
- Eskişehir Osmangazi Üniversitesi Adresli: Evet
Özet
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 Loo and relative error norms. (C) 2016 Elsevier Ltd. All rights reserved.