In this paper, a nonlinear Volterra integro-differential equation with Caputo fractional
derivative, multiple kernels, and multiple constant delays is considered. The aim of this …

This article presents a numerical method for solving ordinary linear differential equations of
arbitrary order and coefficients. For this purpose, block-pulse functions (BPFs) as a set of …

A new and effective direct method to determine the numerical solution of specific nonlinear
Volterra-Fredholm integral and integro-differential equations is proposed. The method is …

Most integral equations of the first kind are ill-posed, and obtaining their numerical solution
often leads to solving a linear system of algebraic equations of a large condition number. So …

In this paper, we apply the Shannon wavelet basis functions to the method of moments to
evaluate the radar cross section (RCS) of the conducting and resistive surfaces. The …

In this paper, the Haar wavelets basis functions are applied to the method of moments to
calculate the radar cross section of the resistive targets. This problem is modeled by the …

The main purpose of this paper is to use the Legendre collocation spectral method for
solving the high-order linear Volterra–Fredholm integro-differential equations under the …

This paper deals with the uniformly stability (US), globally uniformly asymptotically stability
(GUAS) and instability of zero solution as well as integrability and boundedness of nonzero …

This work presents some extensions and improvements of former results that allow proving
asymptotic stability, uniform stability and global uniform asymptotic stability of zero solution …

A particular case of the Hermite interpolation method, namely the two-point Taylor formula, is
utilized to construct a numerical technique for solving Fredholm integral equations (FIEs) of …