Reproducing kernel method for the solutions of non-linear partial differential equations

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Yildirim E., Akgül A., Inc M.

Arab Journal of Basic and Applied Sciences, cilt.28, sa.1, ss.80-86, 2021 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1080/25765299.2021.1891678
  • Dergi Adı: Arab Journal of Basic and Applied Sciences
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.80-86
  • Anahtar Kelimeler: bounded linear operator, Hilbert spaces, partial differential equations, Reproducing kernel functions
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In modeling of a lots of complex physical problems and engineering process, the non-linear partial differential equations have a very important role. Development of dependable and effective methods to solve such types equations are constructed. In the suggested technique, reproducing kernel method is examined to approximate the solutions together with reproducing kernel functions. In order to demonstrate accuracy, the performance and reliability of the proposed method, the results of the experiments and the available results are compared. There is high stability for a higher degree of accuracy between the solutions.