International Journal of Computing Science and Applied Mathematics-IJCSAM
Vol. 8 No. 1 (2022)

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

Mohammad Ghani (Northeast Normal University, Universitas Airlangga)
Wahyuni Ningsih (State Polytechnic of Malang)
Nailul Izzati (Hasyim Asy’ari University)

Article Info

Publish Date
15 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.

Copyrights © 2022




Citation Download
RIS
EndNote, Reference Manager, ProCite
BibTex
Latex, Jabref
Original Source
Download Original
Google Scholar
Check in Google Scholar
Journal Info
International Journal of Computing Science and Applied Mathematics-IJCSAM
Website

Abbrev

ijcsam

Publisher

Institut Teknologi Sepuluh Nopember Surabaya

Subject

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 ...