Inversion Laplace transform for integrodifferential parabolic equation with purely nonlocal conditions

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Merad A., Bouziani A., Ozel C.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.44, sa.5, ss.1087-1097, 2015 (SCI-Expanded, Scopus, TRDizin) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 5
  • Basım Tarihi: 2015
  • Doi Numarası: 10.15672/hjms.2015449667
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1087-1097
  • Anahtar Kelimeler: Integrodifferential parabolic equation, Approximate solution, Nonlocal purely integral conditions, Stehfest Algorithm, NUMERICAL-SOLUTION
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

In this paper we prove the existence, uniqueness, and continuous dependence upon the data of solution to integrodifferential parabolic equation with purely nonlocal integral conditions. The proofs are based on a priori estimates and Laplace transform method. Finally, we obtain a solution using a numerical technique which is called Stehfest algorithm by inverting the Laplace transform.