New approximate solutions to electrostatic differential equations obtained by using numerical and analytical methods

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Bildik N., Deniz S.

Georgian Mathematical Journal, cilt.27, sa.1, ss.23-30, 2020 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1515/gmj-2018-0012
  • Dergi Adı: Georgian Mathematical Journal
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.23-30
  • Anahtar Kelimeler: conjugate gradient method, electrostatic differential equation, Optimal homotopy asymptotic method, Poisson-Boltzmannequation
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this paper, we implement the optimal homotopy asymptotic method to find the approximate solutions of the Poisson-Boltzmann equation. We also use the results of the conjugate gradient method for comparison with those of the optimal homotopy asymptotic method. Our study reveals that the optimal homotopy asymptotic method gives more effective results than conjugate gradient algorithms for the considered problems.