The major purpose of this article is to expand the three-dimensional (3D) modified moving
least-square method for the numerical solution of 3D linear and nonlinear Volterra …

Recently, more and more researchers focus on stochastic fractional equations due to their
applicability to describe the memory and randomness of many noise systems problems. In …

As it is well known the problem of solving the Fredholm integral equation of the first kind
belongs to the class of ill-posed problems. The Tikhonov regularization method is well …

In this paper, moving least squares (MLS) and modified moving least squares (MMLS)
methods have been employed to estimate the solution of two-dimensional linear and …

In this paper, a new adaptive meshless scheme based on the regularized moving least
squares approximation combined with It o^ approximation is employed to solve two …

In the present paper, we propose a numerical method based on the combination of the fixed
point method and quadrature formula for solving two-dimensional nonlinear Fredholm …

The phenomenon of multiple concurrent failures exists in the operation of complex
system/structure, and these multi-failure modes have cascading characteristics. The …

L'objectif principal de cette thèse est de contribuer au développement et applications d'une
méthode sans maillage qui se base sur le principe des moindres carrés mobiles (MLS) …