TY - JOUR ID - 5168 TI - An efficient wavelet-based numerical method to solve nonlinear Fredholm integral equation of second kind with smooth kernel JO - Journal of Mathematical Modeling JA - JMM LA - en SN - 2345-394X AU - Mouley, Jyotirmoy AU - Mandal, Birendra Nath AD - Department of Applied Mathematics, University of Calcutta, Kolkata, India AD - Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata, India Y1 - 2022 PY - 2022 VL - 10 IS - 2 SP - 299 EP - 313 KW - Nonlinearity KW - Fredholm integral equation KW - Daubechies wavelet function KW - one-point quadratute rule DO - 10.22124/jmm.2021.20512.1785 N2 - In this paper, a wavelet-based numerical algorithm is described to obtain approximate numerical solution of a class of nonlinear Fredholm integral equations of second kind having smooth kernels. The algorithm involves  approximation of the unknown function in terms of Daubechies scale functions. The properties of Daubechies scale and wavelet functions together with one-point quadrature rule for the product of a smooth function and Daubechies scale functions are utilized to transform the integral equation to a system of nonlinear equations. The efficiency of the proposed method is demonstrated through three illustrative examples. UR - https://jmm.guilan.ac.ir/article_5168.html L1 - https://jmm.guilan.ac.ir/article_5168_a82fb0f8389eb98e7575121f1d06f1bb.pdf ER -