Difference scheme of second-order of accuracy on the minimal pattern for hyperbolic equations

✍ Scribed by O.M. Belotserkovskii; V.G. Grudnitskii; Yu.A. Prokhorchuk

• Publisher: Elsevier Science
• Year: 1983
• Weight: 328 KB
• Volume: 23
• Category: Article
• ISSN: 0041-5553
• DOI: 10.1016/s0041-5553(83)80014-7

✦ Synopsis

We shall use below the local nurabering of the nodes, assigning local numbers 1,2,3 respectively to the nodes with coordinates (z,-,, it), (zm+t, tk), (x~, t~+,) . On Taylor-expanding the functions u, F up to second order terms in the neighborhoods of the nodes, we can write approximately ~m+| *m