A new fourth-order compact finite difference scheme for the two-dimensional second-order hyperbolic equation
By Heng-fei Ding, Yu-xin Zhang. 2009
62 citations recorded by the source corpus.
In this paper, we propose a three level compact difference scheme of O(@t^4+h^4) for the difference solution of a two-dimensional second-order non-homogeneous linear hyperbolic equation u"t"[email protected]"[email protected]^2u=u"x"x+u"y"y+f(x,y,t),00, where @a>@b>=0. Stability analysis of the method has been carried out. Finally, numerical examples are used to illustrate the efficiency of the new difference scheme.
Subfields: Control and Systems Engineering, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/a34a456e2156dc1d87f0ff42a63e00428b2932a5
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In Control and Systems Engineering
In Numerical Analysis
- Rezvan Salehi
- Mehdi Dehghan
- Ali Shokri
- Mehrdad Lakestani
- Abbas Saadatmandi
- Arezou Ghesmati
- Ali Lotfi
- S. Yousefi
Citations in the corpus
- A method based on meshless approach for the numerical solution of the two‐space dimensional hyperbolic telegraph equation (2012, background): “4Ch4/ for the solution of the telegraph equation is proposed in [7].”