Bernoulli Wavelet Based Numerical Method for Solving Fredholm Integral Equations of the Second Kind
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@Article{JICS-11-111,
author = {S. C. Shiralashetti and R. A. Mundewadi},
title = {Bernoulli Wavelet Based Numerical Method for Solving Fredholm Integral Equations of the Second Kind},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {11},
number = {2},
pages = {111--119},
abstract = {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.
},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22519.html}
}
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.
S. C. Shiralashetti and R. A. Mundewadi. (2024). Bernoulli Wavelet Based Numerical Method for Solving Fredholm Integral Equations of the Second Kind.
Journal of Information and Computing Science. 11 (2).
111-119.
doi:
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