Application of a fourth-order compact ADI method to solve a two-dimensional linear hyperbolic equation
✍ Scribed by Deng, Dingwen; Zhang, Chengjian
- Book ID
- 120827450
- Publisher
- Taylor and Francis Group
- Year
- 2013
- Tongue
- English
- Weight
- 434 KB
- Volume
- 90
- Category
- Article
- ISSN
- 0020-7160
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## Abstract A fourth‐order compact finite‐difference method is proposed in this paper to solve the system of two‐dimensional Burgers' equations. The new method is based on the two‐dimensional Hopf–Cole trans‐formation, which transforms the system of two‐dimensional Burgers' equations into a linear
A Taylor matrix method is proposed for the numerical solution of the two-spacedimensional linear hyperbolic equation. This method transforms the equation into a matrix equation and the unknown of this equation is a Taylor coefficients matrix. Solutions are easily acquired by using this matrix equati