A new numerical method based on Haar wavelet is proposed for two-dimensional nonlinear
Fredholm, Volterra and Volterra–Fredholm integral equations of first and second kind. The …

In this paper, an operational matrix (OM) method based on two-dimensional Haar wavelets
(2D-HWs) is proposed for solving generalized 2D fractional Volterra integral equations (2D …

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 …

The main purpose of this work is to provide a numerical approach for two-dimensional
Volterra integral equations (2D-VIEs). An algorithm based on the use of Taylor polynomials …

In this study, generalized Hirota–Satsuma coupled KdV equation is solved using by two
recent semi-analytic methods, differential transform method (DTM) and reduced form of …

In this paper, differential transform method (DTM) is used to solve the nonlinear heat transfer
equation of a fin with the power-law temperature-dependent both thermal conductivity and …

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 …

This article describes a numerical scheme to solve two-dimensional nonlinear Volterra
integral equations of the second kind. The method estimates the solution by the Galerkin …

This paper investigates a numerical method for solving two-dimensional nonlinear Fredholm
integral equations of the second kind on non-rectangular domains. The scheme utilizes the …

In this paper, an efficient method is presented for solving two dimensional Fredholm and
Volterra integral equations of the second kind. Chebyshev polynomials are applied to …