A New Iterative Algorithm for the Time-Fractional Fisher Equation Including Small Delay

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Demir A., Bayrak M. A.

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
  • 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.