A second-order numerical method for pseudo-parabolic equations having both layer behavior and delay parameter
Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, cilt.73, sa.2, ss.569-587, 2024 (ESCI, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 73 Sayı: 2
- Basım Tarihi: 2024
- Doi Numarası: 10.31801/cfsuasmas.1327826
- Dergi Adı: Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.569-587
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Van Yüzüncü Yıl Üniversitesi Adresli: Evet
Özet
In this paper, singularly perturbed pseudo-parabolic initial-boundary value problems with time-delay parameter are considered by numerically. Initially, the asymptotic properties of the analytical solution are investigated. Then, a discretization with exponential coefficient is suggested on a uniform mesh. The error approximations and uniform convergence of the presented method are estimated in the discrete energy norm. Finally, some numerical experiments are given to clarify the theory.