NUMERICAL SOLUTION OF SECOND ORDER LINEAR HYPERBOLIC TELEGRAPH EQUATION

Kirli E., Irk D., Gorgulu M. Z.

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, cilt.12, sa.3, ss.919-930, 2022 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 3
  • Basım Tarihi: 2022
  • Dergi Adı: TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.919-930
  • Anahtar Kelimeler: Collocation method, cubic B-spline functions, one-step method, second order linear hyperbolic telegraph equation, DIFFERENTIAL QUADRATURE ALGORITHM, DIRICHLET, SCHEME
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

This paper is of about a numerical solution of the second order linear hyperbolic telegraph equation. To solve numerically the second order linear hyperbolic telegraph equation, the cubic B-spline collocation method is used in space discretization and the fourth order one-step method is used in time discretization. By using the fourth order one-step method, it is aimed to obtain a numerical algorithm whose accuracy is higher than the current studies. The efficiency and accuracy of the proposed method is studied by two examples. The obtained results show that the proposed method has higher accuracy as intended.