Stability Analysis of Traveling Waves to Advection-Diffusion Equation Involving Square-root

Mohammad Ghani, Wahyuni Ningsih, Nailul Izzati

Abstract


In this paper, we study the existence and stability of advection-diffusion equation involving square-root. We first change the original equation into the traveling wave by using ansatz transformation. Then, we apply the appropriate perturbation to establish the energy estimate under small perturbation and large wave amplitude. These results of energy estimates are used to prove the stability of traveling wave solutions.


Keywords


stability; large wave amplitude; small perturbations

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References


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DOI: http://dx.doi.org/10.12962/j24775401.v8i1.10922

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International Journal of Computing Science and Applied Mathematics by Pusat Publikasi Ilmiah LPPM, Institut Teknologi Sepuluh Nopember is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Based on a work at https://iptek.its.ac.id/index.php/ijcsam.