Spectral monic Chebyshev approximation for higher order differential equations
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 …
order boundary value problems (HBVPs). This direct numerical method based on spectral …
Shifted Chebyshev schemes for solving fractional optimal control problems
M Abdelhakem, H Moussa… - Journal of Vibration …, 2019 - journals.sagepub.com
Two schemes to find approximated solutions of optimal control problems of fractional order
(FOCPs) are investigated. Integration and differentiation matrices were used in these …
(FOCPs) are investigated. Integration and differentiation matrices were used in these …
Efficient ST techniques for nonlinear optimal control analyses using a pseudospectral framework
CJ Kim, S Sung - IEEE Transactions on Control Systems …, 2014 - ieeexplore.ieee.org
In this brief, numerical techniques for an efficient implementation of the spline transcription
(ST) method by using the pseudospectral framework are proposed. It intends to develop a …
(ST) method by using the pseudospectral framework are proposed. It intends to develop a …
[PDF][PDF] Monic Chebyshev approximations for solving optimal control problem with Volterra integro differential equations
M El-Kady, H Moussa - Gen Math Notes, 2013 - gwdg.de
In this paper, we formulate and analyze a new model for solving optimal control problems
governed by Volterra integro-differential equations. The control and state variables are …
governed by Volterra integro-differential equations. The control and state variables are …
Shifted Monic Ultraspherical Approximation for solving some of Fractional Orders Differential Equations
M Abdelhakem, AF Saadallah, M El-Kady - arXiv preprint arXiv …, 2021 - arxiv.org
The purpose of this paper is to show and explain a new formula that indicates with finality
the derivatives of Shifted Monic Ultraspherical polynomials (SMUPs) of any degree and for …
the derivatives of Shifted Monic Ultraspherical polynomials (SMUPs) of any degree and for …
[PDF][PDF] A COMPARISON BETWEEN ADOMIAN DECOMPOSITION METHOD AND WAVELET METHODS FOR SOLVING SOME INTEGRO-DIFFERENTIAL …
R Jebari, A Boukricha - International Journal of Applied …, 2012 - researchgate.net
In this work, the Adomian decomposition method is applied to solve linear Voltera and
Fredholm integro-differential equations. This method is a powerful tool to analysis strongly …
Fredholm integro-differential equations. This method is a powerful tool to analysis strongly …