Open AccessA Comparative Study of Two Dimensional Legendre & Chebyshev Wavelet with an Extended case
Author(s) -
V. Sumathi,
S. Hemalatha,
B. Sripathy
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1377/1/012009
Subject(s) - legendre wavelet , chebyshev filter , legendre polynomials , algebraic equation , wavelet , mathematics , chebyshev equation , chebyshev nodes , chebyshev polynomials , matrix (chemical analysis) , associated legendre polynomials , legendre's equation , chebyshev iteration , collocation (remote sensing) , mathematical analysis , wavelet transform , computer science , nonlinear system , discrete wavelet transform , orthogonal polynomials , gegenbauer polynomials , classical orthogonal polynomials , physics , materials science , quantum mechanics , artificial intelligence , machine learning , composite material
In this paper, we present an extended case of Two Dimensional Legendre & Chebyshev wavelet to solve a system of PDE’s and a Comparative Study of these two wavelets. In this article, we construct an operational matrix from two Dimensional Chebyshev and Legendre wavelets which is then used to convert PDE into some algebraic equations and hence we solve by the method of collocation. A new operational matrix was derived and it is utilized to convert PDE with BVP to a set of algebraic equations. Some examples are given to evaluate the effectiveness of the newly found approximation technique and compared with the existing result