Numerical solution of Cauchy problem for second order nonlinear wave equation with changeable type in a class of discontinues functions


Rasulov M., Karaguler T., Sinsoysal B.

APPLIED MATHEMATICS AND COMPUTATION, cilt.147, sa.2, ss.423-437, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 147 Sayı: 2
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/s0096-3003(02)00736-1
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.423-437
  • Karadeniz Teknik Üniversitesi Adresli: Hayır

Özet

In this paper, a special numerical method for the solution of second order nonlinear wave equation with changeable type in a class of discontinues functions, which accurately describe the physical properties of the problem of interest is suggested. For this, first, an auxiliary problem having some advantages over the main problem is introduced. Since, the differentiable property of the solution of the auxiliary problem is twice higher than the differentiability of the solution of the main problem, the application of classical methods to the auxiliary problem can be easily performed. Some economic algorithms are proposed for obtaining a numerical solution of the auxiliary problem, and by using the solution of the auxiliary problem, the numerical solution of the main problem is also found. In order to show the effectiveness of the suggested algorithms some comparisons between the exact solution and the numerical solution are made. (C) 2002 Elsevier Inc. All rights reserved.