A Modification on The Exponential Cubic B-spline for Numerical Simulation of Hyperbolic Telegraph Equations
الموضوعات : مجله بین المللی ریاضیات صنعتیAR. Haghighi 1 , F. Rahimiyan 2 , N. Asghary 3 , M. Roohi 4
1 - Department of Mathematics, Allameh Tabatabai University, Tehran, Iran.
2 - Department of Mathematics, Urmia University of Technology, Urmia, Iran.
3 - Department of Mathematics
Islamic Azad University, Central Tehran Branch,Tehran, Iran.
4 - Department of Mathematics, School of Economics and Statistics, Guangzhou, China.
الکلمات المفتاحية: Telegraph equation (TE), Exponential modified, Differential. quadrature method, SSP-RK43, Cubic B-spline function,
ملخص المقالة :
In this paper the differential quadrature method is implemented to find numerical solution of two and three-dimensional telegraphic equations with Dirichlet and Neumann's boundary values. This technique is according to exponential cubic B-spline functions. So, a modification on the exponential cubic B- spline is applied in order to use as a basis function in the DQ method. Therefore, the Telegraph equation (TE) is altered to a system of ordinary differential equations (ODEs). The optimized form of Runge-Kutta scheme has been implemented by four-stage and three-order strong stability preserving (SSPRK43) to solve the resulting system of ODEs. We examined the correctness and applicability of this method by four examples of the TE.
