A non-polynomial spline solution of the one-dimensional wave equation subject to an integral conservation condition

Caglar H., Yilmaz S., Caglar N., Iseri M.

9th WSEAS International Conference on Applied Computer and Applied Computational Science, ACACOS '10, Hangzhou, China, 11 - 13 April 2010, pp.27-30, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • City: Hangzhou
  • Country: China
  • Page Numbers: pp.27-30
  • Keywords: Integral conservation condition, Non-polynomial spline method, One-dimensional wave equation
  • Istanbul Kültür University Affiliated: Yes

Abstract

Hyperbolic partial differential equations with an integral condition serve as models in many branches of physics and technology. Recently, much attention has been expended in studying these equations and there has been a considerable mathematical interest in them. In this work, the solution of the one-dimensional nonlocal hyperbolic equation is presented by the method of non-polynomial cubic splines. Numerical results reveal that present method based on non-polynomial spline is implemented and effective.