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Fourier splitting method for Kawahara type equations
Suárez, P.U.; Morales, J.H. (2014). Fourier splitting method for Kawahara type equations. Journal of Computational Methods in Physics 2014: 1-4. https://dx.doi.org/10.1155/2014/894956
In: Journal of Computational Methods in Physics. Hindawi. ISSN 2314--6834, meer
Peer reviewed article  

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  • Suárez, P.U.
  • Morales, J.H., meer

Abstract
    In this work, we integrate numerically the Kawahara and generalized Kawahara equation by using an algorithm based on Strang’s splitting method. The linear part is solved using the Fourier transform and the nonlinear part is solved with the aid of the exponential operator method. To assess the accuracy of the solution, we compare known analytical solutions with the numerical solution. Further, we show that as t increases the conserved quantities remain constant.

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