A New High-Order Approximation for the Solution of Two-Space-Dimensional Quasilinear Hyperbolic Equations
we propose a new high-order approximation for the solution of two-space-dimensional quasilinear hyperbolic partial differential equation of the form 𝑢𝑡𝑡=𝐴(𝑥,𝑦,𝑡,𝑢)𝑢𝑥𝑥+𝐵(𝑥,𝑦,𝑡,𝑢)𝑢𝑦𝑦+𝑔(𝑥,𝑦,𝑡,𝑢,𝑢𝑥,𝑢𝑦,𝑢𝑡), 0<𝑥, 𝑦<1, 𝑡>0 subject to appropriate initial and Dirichlet boundary conditions , where...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2011-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2011/420608 |