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

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.