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Keywords:

  • finite difference method;
  • stability;
  • linear wave equation

Abstract

We consider in this article the 1-dim linear wave equation vtt = vxx(0 < x < 1,t > 0) and its finite difference analogue with nonuniform time meshes. We are going to discuss the stability for such schemes. © 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2013