Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations
We consider the abstract Cauchy problem for differential equation of the hyperbolic type v″(t)+Av(t)=f(t) (0≤t≤T), v(0)=v0, v′(0)=v′0 in an arbitrary Hilbert space H with the selfadjoint positive definite operator A. The high order of accuracy two-step difference schemes generated by an exact differ...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2005-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/DDNS.2005.183 |