A New Iterative Algorithm for the Time-Fractional Fisher Equation Including Small Delay
Konuralp journal of mathematics, cilt.10, sa.1, ss.1-10, 2022 (Hakemli Dergi)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 10 Sayı: 1
- Basım Tarihi: 2022
- Dergi Adı: Konuralp journal of mathematics
- Sayfa Sayıları: ss.1-10
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Kocaeli Üniversitesi Adresli: Evet
Özet
This study aims to establish a numerical solution of time fractional Fisher equation with small delay by utilizing residual power series method (RPSM). First of all, replacing the term including small delay by in Taylor series expansion of it, we reduce the problem into a fractional Fisher equation without delay. Secondly, applying RPSM, the coefficients of the series are determined which converges to the solution of the equation rapidly. Effectiveness and accuracy of this algorithm are illustrated by presented examples.