The variational iteration method is applied to solve the generalized pantograph equation.
This technique provides a sequence of functions which converges to the exact solution of …

In this study, a numerical matrix method based on Chelyshkov polynomials is presented to
solve the linear functional integro-differential equations with variable coefficients under the …

This paper mainly focuses on the recent advances in the approximated methods for solving
linear and nonlinear integral and integro-differential equations of the second and the first …

In this study, a collocation method that based on Bernstein polynomials is presented for
nonlinear Fredholm–Volterra integro-differential equations (NFVIDEs). By means of the …

This work reports a collocation algorithm for the numerical solution of a Volterra–Fredholm
integral equation (V-FIE), using shifted Chebyshev collocation (SCC) method. Some …

An effective method based upon Legendre multiwavelets is proposed for the solution of
Fredholm weakly singular integro-differential equations. The properties of Legendre …

An investigation of two nonlinear mixed Volterra–Fredholm integral equations of the second
kind is undertaken. The equations are constructed as fixed-point problems, under the …

An efficient numerical algorithm is developed for solving nonlinear functional Volterra
integral equations. The core idea is to define an appropriate operator, then combine the …

We construct the traveling wave solutions of the fifth‐order Caudrey‐Dodd‐Gibbon (CDG)
equation by the (G′/G)‐expansion method. Abundant traveling wave solutions with …

In this paper, an efficient numerical method is used for solving 2D-mixed Volterra–Fredholm
integral equations. This method is based on 2D-orthonormal Bernstein polynomials (2D …