TY - JOUR
T1 - Bernoulli Wavelet Based Numerical Method for Solving Fredholm Integral Equations of the Second Kind
AU - S. C. Shiralashetti and R. A. Mundewadi
JO - Journal of Information and Computing Science
VL - 2
SP - 111
EP - 119
PY - 2024
DA - 2024/01
SN - 11
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22519.html
KW -  Bernoulli  Wavelet,  Haar  wavelet,  Hermite  cubic  splines,  Bernoulli  Polynomials,  Bernoulli 
numbers, Fredholm Integral equations. 

AB - In this paper, a Bernoulli wavelet based numerical method for the solution of Fredholm integral 
equations of the second kind is proposed. The method is based upon Bernoulli wavelet approximations. The 
Bernoulli wavelet (BW) is first presented and the resulting  Bernoulli wavelet matrices are utilized to reduce 
the Fredholm integral equations into algebraic equations. Solving these equations using MATLAB to obtain 
Bernoulli  coefficients.  The  numerical  results  of  the  proposed  method  through  the  illustrative  examples  is 
presented in comparison  with the exact and existing  methods (Haar  wavelet  method (HWM) [13], Hermite 
cubic splines (HCS) [11]) of solution from the literature are shown in tables and figures, which show that the 
validity and applicability of the technique with higher accuracy even for the smaller values of N.