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Home  >  Volume 21 (2012)

Stability of multi-level scheme for the solution of wave equation by Augustine O. Odio, Volume 21 (July, 2012), pp 319 – 322
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Abstract

We study the stability of a multi-level scheme for the solution of wave equation. The function u, is the wave amplitude which depends on the x and t variables. The function u, as seen in this work is an admissible function, hence, it can be expanded using the Taylor series. A practical result for stability criteria for the multi-level difference scheme for the solution of wave equation is given in a proposition due to Von Neumann. This result shows that the multi-level difference scheme is stable or unconditional stable.

Keywords: Stability, multi-level difference scheme, Von Neuman, difference equation, central difference scheme and 

      symmetric matrix.

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