[PDF][PDF] Numerical solutions of systems of first-order, two-point BVPs based on the reproducing kernel algorithm

OA Arqub - Calcolo, 2018 - academia.edu
The aim of the present analysis is to implement a relatively recent computational algorithm,
reproducing kernel Hilbert space, for obtaining the solutions of systems of first-order, two …

Numerical solutions of systems of first-order, two-point BVPs based on the reproducing kernel algorithm

O Abu Arqub - Calcolo, 2018 - Springer
The aim of the present analysis is to implement a relatively recent computational algorithm,
reproducing kernel Hilbert space, for obtaining the solutions of systems of first-order, two …

[PDF][PDF] A numerical approach for solving optimal control problems using the Boubaker polynomials expansion scheme

B Kafash, A Delavarkhalafi… - J. Interpolat. Approx. Sci …, 2014 - academia.edu
In this paper, we present a computational method for solving optimal control problems and
the controlled Duffing oscillator. This method is based on state parametrization. In fact, the …

[HTML][HTML] A numerical method for solving a fractional partial differential equation through converting it into an NLP problem

MAM Ghandehari, M Ranjbar - Computers & Mathematics with Applications, 2013 - Elsevier
In this paper, we propose a new approach for solving fractional partial differential equations,
which is very easy to use and can also be applied to equations of other types. The main …

Second-order time discretization for reaction coefficient estimation of bilinear parabolic optimization problem with Neumann boundary conditions

C Yang, T Sun - Computers & Mathematics with Applications, 2023 - Elsevier
This article studies the second-order time discretization and finite element approximation of
a class of bilinear parabolic optimal control problems with Neumann boundary conditions …

[PDF][PDF] Optimal control strategy for a fully determined HIV model

M Shirazian, MH Farahi - Intelligent control and automation, 2010 - scirp.org
This paper shows how mathematical methods can be implemented to formulate guidelines
for clinical testing and monitoring of HIV/AIDS disease. First, a mathematical model for HIV …

[HTML][HTML] Smoothing approach for a class of nonsmooth optimal control problems

MHN Skandari, AV Kamyad, S Effati - Applied Mathematical Modelling, 2016 - Elsevier
In this study, we consider a nonsmooth optimal control problem. First, we convert this
problem into the corresponding smooth optimal control problem using a practical …

[PDF][PDF] An efficient Legendre pseudospectral method for solving nonlinear quasi bang-bang optimal control problems

E Tohidi, SL Noghabi - Journal of Applied Mathematics, Statistics and …, 2012 - sciendo.com
In this paper, an efficient Legendre pseudospectral approach for the accurate solution of
nonlinear quasi bang-bang optimal control problems (OCPs) is investigated. In this …

Using AVK method to solve nonlinear problems with uncertain parameters

KP Badakhshan, AV Kamyad, A Azemi - Applied Mathematics and …, 2007 - Elsevier
Although we usually would like to work with exact systems, most of the real world systems
are nonlinear with uncertain parameters. In this paper, we propose AVK (AV Kamyad) …

[PDF][PDF] Numerical solution of a class of nonlinear optimal control problems using linearization and discretization

MHN Skandari, E Tohidi - Applied Mathematics, 2011 - researchgate.net
In this paper, a new approach using linear combination property of intervals and
discretization is proposed to solve a class of nonlinear optimal control problems, containing …