Open AccessOne Dimensional Kardar-Parisi-Zhang Equation in Various Initial Condition Amplitudes
Author(s) -
Gabriella Bognár,
Okhunjon Sayfidinov
Publication year - 2020
Publication title -
journal of advances in applied and computational mathematics
Language(s) - English
Resource type - Journals
ISSN - 2409-5761
DOI - 10.15377/2409-5761.2020.07.5
Subject(s) - amplitude , noise (video) , white noise , gaussian noise , zhàng , mathematics , term (time) , mathematical analysis , gaussian , additive white gaussian noise , statistical physics , physics , statistics , computer science , algorithm , quantum mechanics , artificial intelligence , law , political science , china , image (mathematics)
The Kardar-Parisi-Zhang (KPZ) equation with different initial conditions has been investigated in this paper. The numerical solutions using fixed data are performed without noise term and with two kinds of noise terms, i.e., Gaussian noise term and white noise term. The solutions to the equation have been simulated with different initial conditions of the form A sin (x/16) Our study introduces the obtained shape of the solutions to the KPZ equation according to noise terms with three different amplitudes A. The effect of the noise and the amplitude of the noises are presented and investigated.