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

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Atıf İçin Kopyala

Dağ İ., Ersoy Hepson Ö.

FOURTH INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2020), cilt.2334, ss.1-6, 2021 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 2334
• Basım Tarihi: 2021
• Doi Numarası: 10.1063/5.0042219
• Dergi Adı: FOURTH INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2020)
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
• 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.