We introduce new differentiation matrices based on the pseudospectral collocation method.
Monic Chebyshev polynomials (MCPs) were used as trial functions in differentiation …

This paper is focused on performing a new method for solving linear and nonlinear higher-
order boundary value problems (HBVPs). This direct numerical method based on spectral …

The numerical solutions of linear integrodifferential equations of Volterra type have been
considered. Power series is used as the basis polynomial to approximate the solution of the …

In this manuscript, we investigate two categories of optimal control problems (OCPs), OPCs
via fractional Volterra integro-differential equations and Volterra integral equations …

This paper considers a new problem of control related to underwater vehicles. Due to the
presence of a free fluid surface and to the vortex shedding of the vehicle lifting surfaces, the …

In this paper, we introduce a set of functions called fractional-order Legendre functions
(FLFs) to obtain the numerical solution of optimal control problems subject to the linear and …

This study aimed to utilize a novel modified approach based on teaching–learning-based
optimization (MTLBO), to achieve an approximate solution of optimal control problem …

This work presents a novel formulation for the numerical solution of optimal control problems
related to nonlinear Volterra fractional integral equations systems. A spectral approach is …

In the article, we derive an existence theorem for a Bolza problem described by a nonlinear
integro‐differential system of Volterra type. We use an approach based on the lower closure …

This study presents new numerical methods for solving differential/integral equations of
interest in applications. This thesis consists of four parts. Part I presents numerical methods …