In this paper, a numerical scheme based on hybrid Chelyshkov functions (HCFs) is
presented to solve a class of fractional optimal control problems (FOCPs). To this end, by …

In this study, differential transform method (DTM) is applied to both integro-differential and
integral equation systems. The method is further expanded with a formulation to treat …

This article develops an efficient direct solver for solving numerically the high-order linear
Fredholm integro-differential equations (FIDEs) with piecewise intervals under initial …

This paper presents a comparative study of three numerical schemes such as Linear,
Quadratic and Quadratic–Linear scheme for the fractional integro-differential equations …

In this paper, we present some efficient direct solvers for solving a system of high order
linear Volterra–Fredholm integro-differential equations (VFIDEs). A new approach …

This paper introduces an approach for obtaining the numerical solution of the nonlinear
Volterra–Fredholm integro-differential (NVFID) equations using hybrid Legendre …

A Chebyshev collocation method, an expansion method, has been proposed in order to
solve the systems of higher-order linear integro-differential equations. This method …

In this paper, a numerical matrix method based on collocation points is presented for the
approximate solution of the systems of high-order linear Fredholm integro-differential …

In this paper, a new approximate method has been presented to solve the linear Volterra
integral equation systems (VIEs). This method transforms the integral system into the matrix …

Wireless sensor network and industrial internet of things have been a growing area of
research which is exploited in various fields such as smart home, smart industries, smart …