TY - JOUR
T1 - A Method for Solving Fredholm Integral Equations of the First Kind Based on Chebyshev Wavelets
JO - Analysis in Theory and Applications
VL - 3
SP - 197
EP - 207
PY - 2013
DA - 2013/07
SN - 29
DO - http://doi.org/10.4208/ata.2013.v29.n3.1
UR - https://global-sci.org/intro/article_detail/ata/5057.html
KW - First kind Fredholm integral equation, Galerkin and Modified Galerkin method, Legendre wavelets, Chebyshev wavelets.
AB - <p style="text-align: justify;">In this paper, we suggest a method for solving Fredholm integral equation of the first kind based on wavelet basis. The continuous Legendre and Chebyshev wavelets of the first, second, third and fourth kind on $[0,1]$ are used and are utilized as a basis in Galerkin method to approximate the solution of integral equations. Then, in some examples the mentioned wavelets are compared with each other.</p>