A new analysis of a partial differential equation arising in biology and population genetics via semi analytical techniques

Agarwal P., Deni̇z S., Jain S., Alderremy A., Aly S.

Physica A: Statistical Mechanics and its Applications, cilt.542, 2020 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 542
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1016/j.physa.2019.122769
  • Dergi Adı: Physica A: Statistical Mechanics and its Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Artic & Antarctic Regions, Compendex, INSPEC, Public Affairs Index, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Fitzhugh–Nagumo equation, Optimal perturbation iteration method, Population genetics, Symbolic computations
  • Manisa Celal Bayar Üniversitesi Adresli: Hayır

Özet

In this work, we propose a new optimal perturbation iteration method for solving the generalized Fitzhugh–Nagumo equation with time-dependent coefficients. This research reveals that the new proposed technique, with the aid of symbolic computations, provides a straightforward and impressive mathematical tool for solving nonlinear partial differential equations. Implementing this method to Fitzhugh–Nagumo equation illustrates its potency. Convergence analysis also shows that OPIM, unlike many other methods in literature, converges fast to exact analytical solutions of the nonlinear problems at lower order of approximations.