Articles
Published 2025-08-08
Keywords
- Evolution equations,
- gain in regularity,
- sobolev space,
- numerical methods
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
How to Cite
Sepúlveda, M., & Vera Villagrán, O. P. (2025). Numerical Method for a transport equation perturbed by dispersive terms of 3rd and 5th order. Scientia Series A: Mathematical Sciences, 13, 13-21. https://doi.org/10.71712/
Abstract
We are concerned with the initial-boundary-value problem associated to the Korteweg - de Vries - Kawahara (KdVK) equation, which is a transport equation perturbed by dispersive terms of 3rd and 5th order. The (KdVK) equation appears in several fluid dynamics problems. We obtain local smoothing effects that are uniform with respect to the size of the interval. We also propose a simple finite-difference scheme for the problem and prove its stability. Finally, we give some numerical examples.
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