Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

A PREDICTOR-CORRECTOR SCHEME FOR THE NUMERICAL SOLUTION OF THE BOUSSINESQ EQUATION

  • Ismail, M.S. (Department of Mathematics, College of Science) ;
  • Bratsos, A.G. (Department of Mathematics, Technological Educational Institution(T.E.I))
  • Published : 2003.09.01

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Abstract

A fourth order in time and second order in space scheme using a finite-difference method is developed for the non-linear Boussinesq equation. For the solution of the resulting non-linear system a predictor-corrector pair is proposed. The method is analyzed for local truncation error and stability. The results of a number of numerical experiments for both the single and the double-soliton waves are given.

Keywords

References

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