The use of cubic B-spline scaling functions for solving the one-dimensional hyperbolic equation with a nonlocal conservation condition

Dehghan M., Lakestanı M.

Numerical Methods for Partial Differential Equations, cilt.23, sa.6, ss.1277-1289, 2007 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Sayı: 6
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1002/num.20209
  • Dergi Adı: Numerical Methods for Partial Differential Equations
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1277-1289
  • Anahtar Kelimeler: Cubic B-spline scaling functions, Nonclassic boundary condition, Wave equation
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

Problems for parabolic partial differential equations with nonlocal boundary conditions have been studied in many articles, but boundary value problems for hyperbolic partial differential equations have so far remained nearly uninvestigated. In this article a numerical technique is presented for the solution of a nonclassical problem for the one-dimensional wave equation. This method uses the cubic B-spline scaling functions. Some numerical results are reported to support our study. © 2007 Wiley Periodicals, Inc.