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All Journal International Journal of Computing Science and Applied Mathematics
Wahyuni Ningsih
Department of Civil Engineering, State Polytechnic of Malang, Malang 65141, Indonesia
Computer Science & IT Education Mathematics

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Stability Analysis of Traveling Waves to Advection-Diffusion Equation Involving Square-root Mohammad Ghani; Wahyuni Ningsih; Nailul Izzati
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol 8, No 1 (2022)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/j24775401.v8i1.10922

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.
Co-Authors Mohammad Ghani Nailul Izzati