On The Numerical Solution of the Nonlinear Stochastic Kadar-Parisi-Zhang Equation with Reduced Differential Transform Method

  • Olusola Tosin Kolebaje department of physics, university of Ibadan, Nigeria
  • Oluwole Emmanuel Oyewande department of physics, university of Ibadan, Nigeria
Keywords: RDTM, Kadar-Parisi-Zhang equation, Surface growth, Particle deposition

Abstract

The Reduced Differential Transform Method (RDTM) was used to obtain approximate solutions to the Kadar-Parisi-Zhang equation. The Kadar-Parisi-Zhang equation which is a stochastic nonlinear partial differential equation was used to investigate the growth (or erosion) of interfaces by particle deposition for bounded noise for an initially sinusoidal surface. The solutions obtained through RDTM with Mathematica package was compared to the finite difference solutions. The study shows the efficacy of the RDTM in solving the Kadar-Parisi-Zhang equation and is therefore a wonderful tool for solving nonlinear partial differential equations of stochastic or deterministic nature.        

Author Biographies

Olusola Tosin Kolebaje, department of physics, university of Ibadan, Nigeria

Department of physics,

University of Ibadan, Nigeria

Oluwole Emmanuel Oyewande, department of physics, university of Ibadan, Nigeria

Department of physics,

University of Ibadan, Nigeria

Published
2014-01-01
How to Cite
Kolebaje, O. T., & Oyewande, O. E. (2014). On The Numerical Solution of the Nonlinear Stochastic Kadar-Parisi-Zhang Equation with Reduced Differential Transform Method. Journal of Science and Technology, 5(2). Retrieved from https://publisher.uthm.edu.my/ojs/index.php/JST/article/view/566
Section
Articles