Two new algorithms based on Haar wavelets are proposed. The first algorithm is proposed
for the numerical solution of nonlinear Fredholm integral equations of the second kind, and …

In this paper, we present a numerical method for solving two-dimensional nonlinear
Fredholm integral equations of the second kind on a non-rectangular domain. The method …

In this paper, we develop a numerical scheme based on two-dimensional orthonormal
Bernstein polynomials (2D-OBPs) to solve two-dimensional nonlinear integral equations of …

High‐speed elevator horizontal vibration (HsEHV) is a problem that seriously affects ride
comfort. To solve this problem, a design parameter optimization method for HsEHV …

The main goal of this paper is presenting an efficient numerical scheme to solve two
dimensional linear stochastic integral equations on non-rectangular domains. The proposed …

In this article two barycentric interpolation collocation methods are proposed for solving
linear and nonlinear high-dimensional F redholm integral equations of the second kind. The …

This paper surveys the artificial neural networks approach. Researchers believe that these
networks have the wide range of applicability, they can treat complicated problems as well …

In this article, a new collocation technique for numerical solution of Fredholm, Volterra and
mixed Volterra-Fredholm integral equations of the second kind is introduced and also …

A non-linear kernel comprising a function of partial derivatives of arbitrary order is
approximated by Theorem 2 in Ref.[12]. After substituting the kernel approximation in the …

Two-dimensional orthogonal triangular functions (2D-TFs) are presented as a new set of
basis functions for expanding 2D functions. Their properties are determined and an …