P Assari, M Dehghan - The European Physical Journal Plus, 2017 - Springer
In this paper a simple and effective method is given for the numerical solution of nonlinear one-and two-dimensional Fredholm integral equations of the second kind with weakly …
This paper presents a numerical method for solving a certain class of Fredholm integral equations of the first kind, whose unknown function is singular at the end-points of the …
ES Shoukralla, M Kamel… - 2018 13th International …, 2018 - ieeexplore.ieee.org
A new computational technique is given for the numerical solution of Fredholm integral equation of the first kind with a singular density function and a weakly singular logarithmic …
This paper presents a numerical method for solving logarithmic Fredholm integral equations which occur as a reformulation of two-dimensional Helmholtz equations over the unit circle …
In this paper, a computational method is presented to solve potential-type Fredholm integral equations of the first kind, equations in which the unknown functions are singular at the …
P Assari - Applicable Analysis, 2019 - Taylor & Francis
The present work proposes a numerical method to obtain an approximate solution of non- linear weakly singular Fredholm integral equations. The discrete Galerkin method in …
J Huang, T Lü, ZC Li - Applied numerical mathematics, 2009 - Elsevier
This paper presents the mechanical quadrature methods (MQMs) for solving boundary integral equations (BIEs) of the first kind on open arcs. The spectral condition number of …
P Assari - Alexandria engineering journal, 2018 - Elsevier
The current work presents a computational scheme to solve weakly singular integral equations of the second kind. The discrete collocation method in addition to the moving least …
S Behera, SS Ray - Mathematical Methods in the Applied …, 2025 - Wiley Online Library
In this study, a wavelet‐based collocation scheme has been introduced for solving the linear and nonlinear Fredholm integral equations as well as the system of linear Fredholm integral …