Numerical ‎S‎olution of Two-Dimensional Hyperbolic Equations with Nonlocal Integral Conditions Using Radial Basis Functions‎

Subject Areas : International Journal of Industrial Mathematics

E. Shivanian ¹ , M. Aslefallah ²

1 - Department of Mathematics, Imam Khomeini International University, Qazvin, Iran
2 - Department of Mathematics, Imam Khomeini International University, Qazvin, Iran

Received: 2015-10-10 Accepted : 2016-07-09 Published : 2019-01-01

Keywords: Radial basis function, Kansa method, Finite differences $theta -$ method, Hyperbolic equations with purely integral conditions,

Abstract :

This paper proposes a numerical method to the two-dimensional hyperbolic equations with nonlocal integral conditions. The nonlocal integral equation is of major challenge in the frame work of the numerical solutions of PDEs. The method benefits from collocation radial basis function method, the generalized thin plate splines radial basis functions are used.Therefore, it does not require any struggle to determine shape parameter (In other RBFs, it is time-consuming step).