Numerical solution of telegraph equation using interpolating scaling functions


Lakestanı M., Saray B. N.

Computers and Mathematics with Applications, cilt.60, sa.7, ss.1964-1972, 2010 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 60 Sayı: 7
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.camwa.2010.07.030
  • Dergi Adı: Computers and Mathematics with Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1964-1972
  • Anahtar Kelimeler: Interpolating scaling function, Operational matrix of derivative, Telegraph equation
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

A numerical technique is presented for the solution of second order one dimensional linear hyperbolic equation. This method uses interpolating scaling functions. The method consists of expanding the required approximate solution as the elements of interpolating scaling functions. Using the operational matrix of derivatives, we reduce the problem to a set of algebraic equations. Some numerical examples are included to demonstrate the validity and applicability of the technique. The method is easy to implement and produces accurate results. © 2010 Elsevier Ltd. All rights reserved.