In this work, we consider two-dimensional linear and nonlinear Fredholm integral equations
of the first kind. The combination of the regularization method and the homotopy perturbation …

In this paper, a matrix based method is considered for solving a class of 2DNVFIEs (Two
Dimensional Nonlinear Volterra-Fredholm Integral Equations) of the second kind based on …

A new operational matrix based approach is studied for numerical solution of 2D-integro-
differential equations with non-local (integral) boundary conditions whose arise in some …

This paper contributes an efficient numerical approach, which produces an approximate
polynomial solution, for solving linear two-dimensional Fredholm integral equations with …

This paper is devoted to extend an iterative algorithm for sparse least-squares problems for
solving one-and two-dimensional linear Fredholm integral equations. We consider the …

In this paper, we study the quadratic rule for the numerical solution of linear and nonlinear
two-dimensional Fredholm integral equations based on spline quasi-interpolant. Also the …

‎ In this paper‎,‎ we introduce the two-dimensional Legendre wavelets (2D-LWs)‎,‎ and develop
them for solving a class of two-dimensional integro-differential equations (2D-IDEs) of …

In this paper, the solving of a class of the nonlinear Volterra integral equations (NVIE) of the
first kind is investigated. Here, we convert NVIE of the first kind to a linear equation of the …

This article provides a numerical study of two-dimensional Volterra integro-differential
equations involving fractional derivatives in the Caputo sense of order α, γ (0< α, γ< 1). First …

In this work, we investigate solving two-dimensional nonlinear Volterra integral equations of
the first kind (2DNVIEF). Here we convert 2DNVIEF to the two-dimensional linear Volterra …