Volume 12, Issue 3 (Special Issue)  On the occasion of the 75th birthday of Professor A. Vahidian and Professor F. Toutounian
مرور بر اساس
ارسال های اخیر

An eﬀicient design for solving discrete optimal control problem with timevarying multidelays
(20221101)The focus of this article is on the study of discrete optimal control problems (DOCPs) governed by timevarying systems, including timevarying delays in control and state variables. DOCPs arise naturally in many multistage ...

A new iteration method for solving space fractional coupled nonlinear Schrödinger equations
(20221101)A linearly implicit difference scheme for the space fractional coupled nonlinear Schrödinger equation is proposed. The resulting coeﬀicient matrix of the discretized linear system consists of the sum of a complex scaled ...

Shooting continuous Runge–Kutta method for delay optimal control problems
(20221101)In this paper, we present an eﬀicient method to solve linear timedelay optimal control problems with a quadratic cost function. In this regard, first, by employing the Pontryagin maximum principle to timedelay systems, ...

Global and extended global Hessenberg processes for solving Sylvester tensor equation with lowrank righthand side
(20221101)In this paper, we introduce two new schemes based on the global Hessenberg processes for computing approximate solutions to lowrank Sylvester tensor equations. We first construct bases for the matrix and extended matrix ...

Differential transform method: A comprehensive review and analysis
(20221101)The complexity of solving differential equations in realworld applications motivates researchers to extend numerical methods. Among different numerical and semianalytical methods for solving initial and boundary value ...

A numerical approximation for the solution of a timefractional telegraph equation based on the Crank–Nicolson method
(20221101)In this paper, a twodimensional timefractional telegraph equation is considered with derivative in the sense of Caputo and $ 1

Numerical solution of nonlinear fractional Riccati differential equations using compact finite difference method
(20221101)This paper aims to apply and investigate the compact finite difference methods for solving integerorder and fractionalorder Riccati differential equations. The fractional derivative in the fractional case is described ...

A twophase method for solving continuous rankone quadratic knapsack problems
(20221101)We propose a twophase algorithm for solving continuous rankone quadratic knapsack problems (R1QKPs). In particular, we study the solution structure of the problem without the knapsack constraint. In fact, an $O(n\log n)$ ...

Deception in multiattacker security game with nonfuzzy and fuzzy payoffs
(20221101)There is significant interest in studying security games for defense optimization and reducing the effects of attacks on various security systems involving vital infrastructures, financial systems, security, and urban ...

On stagnation of the DGMRES method
(20221101)Let $A$ be an $n$by$n$ matrix with index $\alpha>0$ and $b \in \mathbb{C}^n$. In this paper, the problem of stagnation of the DGMRES method for the singular linear system $Ax=b$ is considered. We show that DGMRES$(A, ...

Using shifted Legendre orthonormal polynomials for solving fractional optimal control problems
(20221101)shifted Legendre orthonormal polynomials (SLOPs) are used to approximate the numerical solutions of fractional optimal control problems. To do so, first, the operational matrix of the Caputo fractional derivative, ...

Estimation of the regression function by Legendre wavelets
(20221101)We estimate a function f with N independent observations by using Legendre wavelets operational matrices. The function f is approximated with the solution of a special minimization problem. We introduce an explicit ...