International Journal of Computing Science and Applied Mathematics
Vol 8, No 1 (2022)

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

Mohammad Ghani (School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, P.R. China, and Faculty of Advanced Technology and Multidiscipline, Universitas Airlangga, Surabaya 60115, Indonesia)
Wahyuni Ningsih (Department of Civil Engineering, State Polytechnic of Malang, Malang 65141, Indonesia)
Nailul Izzati (Department of Electrical Engineering, Hasyim Asy’ari University, Jombang 61471, Indonesia)

Article Info

Publish Date
21 Feb 2022

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.

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Journal Info
International Journal of Computing Science and Applied Mathematics
Website

Abbrev

ijcsam

Publisher

Institut Teknologi Sepuluh Nopember Surabaya

Subject

Computer Science & IT Education Mathematics

Description

(IJCSAM) International Journal of Computing Science and Applied Mathematics is an open access journal publishing advanced results in the fields of computations, science and applied mathematics, as mentioned explicitly in the scope of the journal. The journal is geared towards dissemination of ...