TY - JOUR
TI - Chebyshev wavelet collocation method for Ginzburg-Landau equation
AU - Secer Aydin
AU - Bakir Yasemin
JN - Thermal Science
PY - 2019
VL - 23
IS - 11
SP - 57
EP - 65
PT - Article
AB - The main aim of this paper is to investigate the efficient Chebyshev wavelet  collocation method for Ginzburg-Landau equation. The basic idea of this  method is to have the approximation of Chebyshev wavelet series of a  non-linear partial differential equation. We demonstrate how to use the  method for the numerical solution of the Ginzburg-Landau Equation with  initial and boundary conditions. For this purpose, we have obtained  operational matrix for Chebyshev wavelets. By applying this technique in  Ginzburg-Landau equation, the partial differential equation is converted  into an algebraic system of non-linear equations and this system has been  solved using Maple computer algebra system. We demonstrate the validity and  applicability of this technique which has been clarified by using an  example. Exact solution is compared with an approximate solution. Moreover,  Chebyshev wavelet collocation method is found to be acceptable, efficient,  accurate and computationall for the non-linear or linear partial  differential equation.