TY - JOUR
ID - 12839
TI - Bernoulli wavelet method for numerical solutions of system of fuzzy integral equations
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Ramadan, Mohamed A.
AU - Ali, Mohamed Reda
AD - Department of Mathematics, Faculty of Science, Menoua University, Egypt.
AD - Department of Mathematics, Faculty of Engineering,
Benha University, Egypt.
Y1 - 2021
PY - 2021
VL - 9
IS - 3
SP - 846
EP - 857
KW - Parametric form of a Fuzzy number
KW - Bernoulli wavelets
KW - Fuzzy integral equations
KW - Approximate solution
KW - product matrix
KW - Error estimation
DO - 10.22034/cmde.2021.22093.1257
N2 - In this paper, we have proposed an efficient numerical method to solve a system linear fuzzy Fredholm integral equations of the second kind based on Bernoulli wavelet method (BWM). Bernoulli wavelets have been generated by dilation and translation of Bernoulli polynomials. The aim of this paper is to apply Bernoulli wavelet method to obtain approximate solutions of a system of linear Fredholm fuzzy integral equations. First, we introduce properties of Bernoulli wavelets then we used it to transform the integral equations to the system of algebraic equations, the error estimates of the proposed method are given and compared by solving some numerical examples.
UR - https://cmde.tabrizu.ac.ir/article_12839.html
L1 - https://cmde.tabrizu.ac.ir/article_12839_63506e0da7c9fdf6de865a09a0f910d1.pdf
ER -