Perturbation-iteration method applied to partial differential equations

Pakdemirli M.

Journal of Interdisciplinary Mathematics, cilt.28, sa.2, ss.425-439, 2025 (ESCI, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28 Sayı: 2
  • Basım Tarihi: 2025
  • Doi Numarası: 10.47974/jim-1744
  • Dergi Adı: Journal of Interdisciplinary Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.425-439
  • Anahtar Kelimeler: Perturbation techniques, Iteration algorithms, Partial differential equations, Approximate solutions
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

Partial differential equations are treated with the Perturbation Iteration Method (PIM) Sample equations possessing exact analytical solutions were treated for comparison with the iteration solutions. Two different iteration algorithms are applied to the differential equations. Linear as well as nonlinear problems are treated. Exact solutions are contrasted with the approximate solutions for each sample problem. It is shown that the Perturbation Iteration Method can be successfully applied to partial differential equations in construction of admissible approximate analytical solutions.