Hyperbolic-trigonometric tension B-spline Galerkin approach for the solution of Fisher equation

Dağ İ., Ersoy Hepson Ö.

AIP CONFERENCE PROCEEDINGS, cilt.2334, ss.1-6, 2021 (Hakemli Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2334
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1063/5.0042219
  • Dergi Adı: AIP CONFERENCE PROCEEDINGS
  • Derginin Tarandığı İndeksler: Aerospace Database, Artic & Antarctic Regions, Communication Abstracts, INSPEC, Metadex, Public Affairs Index, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.1-6
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

A Galerkin finite element method is constructed for computing solution of the Fisher equation. Hyperbolic-trigonometric tension (HTT) B-splines are used as weight and shape functions in the Galerkin approach. Fully discretization of the Fisher equation is fulfilled via Crank-Nicolson method in time and Galerkin method in space. Travelling wave front solution is studied to show robustness of the presented scheme on Fisher equation. The numerical results obtained with the present method are satisfactory with regard to its accuracy.