Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630524 | Applied Mathematics and Computation | 2012 | 6 Pages |
Abstract
In this paper, we propose a numerical scheme to solve one-dimensional Sine–Gordon equation related to many scientific research topics by using high accuracy multiquadric quasi-interpolation. We use the derivatives of a multiquadric quasi-interpolant to approximate the spatial derivatives, and a finite difference to approximate the temporal derivative. The advantages of the scheme are that it is meshfree, and in each time step only a multiquadric quasi-interpolant is employed, so that the algorithm is very easy to implement. The accuracy of our scheme is demonstrated by some test problems.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Zi-Wu Jiang, Ren-Hong Wang,