High order accurate method for the numerical solution of the second order linear hyperbolic telegraph equation

Kirli E., IRK D., ZORŞAHİN GÖRGÜLÜ M.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, cilt.39, sa.3, ss.2060-2072, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 3
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1002/num.22957
  • Dergi Adı: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, MathSciNet, zbMATH, DIALNET, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.2060-2072
  • Anahtar Kelimeler: cubic B-spline function, finite difference method, finite element method, fourth order one-step method, Galerkin method, second order linear, DIFFERENCE SCHEME, ALGORITHM
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this study, the Galerkin finite element method is applied to get the numerical solution of the linear telegraph equation by using cubic B-spline function. Differently from the existing studies, the fourth order one-step method is used to discretize in time the telegraph equation. The efficiency and accuracy of the proposed method is studied by three examples. The obtained results are shown that the proposed method has a higher accuracy.