|
| Pseudo-spectral-differential quadrature coupled method for a class of hyperbolic telegraph equations |
| Received:November 16, 2016 Revised:August 28, 2017 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20161116003 |
| KeyWord:pseudo-spectral method differential quadrature method meshfree method pseudo-spectral-differential quadrature coupled method hyperbolic telegraph equation |
| Author | Institution |
| 王永 |
三峡大学 电气与新能源学院, 宜昌 |
| 汪芳宗 |
三峡大学 电气与新能源学院, 宜昌 |
|
| Hits: 1983 |
| Download times: 1416 |
| Abstract: |
| Pseudo-spectral method and differential quadrature method are two kinds of important meshfree methods,both of which have been widely used in scientific and engineering calculations.The Lagrange interpolation polynomials are used as the trial functions of the two methods,and the same distribution of grid points is used.This paper reveals that the differential quadrature method is a special form of the pseudo-spectral method.On this basis,a pseudo-spectral-differential quadrature coupled method (PSDQM) is proposed to solve a class of hyperbolic telegraph equations.Theoretical analysis and numerical tests show that the new method has spectral precision convergence in spatial domain and is A-stable in time domain.And it is suitable for solving multi-dimensional telegraph equations. |