Numerical Methods to Solve Fractional Order Optimal Control Problems

Name: Numerical Methods to Solve Fractional Order Optimal Control Problems
Brand: LAP Lambert Academic Publishing
SKU: 9783330040267
Price: 238.93 RON
Availability: InStock

Numerical Simulation of Fractional HIV Models Using Some Numerical Methods

Autor: Yousef S. Almaghrebi, Nasser Sweilam, Abdelhameed Nagy

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Editura: LAP Lambert Academic Publishing

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238.93 lei

In this book, two existing mathematical models to describe the human immunodeficiency virus (HIV) di...

Informații despre carte

Autor

Yousef S. Almaghrebi, Nasser Sweilam, Abdelhameed Nagy

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2017

Pagini

124

EAN

9783330040267

Enbook ID

15980159

Editura

LAP Lambert Academic Publishing

Greutate

203

Dimensiuni

150 x 220 x 7

Descriere completă

In this book, two existing mathematical models to describe the human immunodeficiency virus (HIV) disease are studied. The adopted models are described by a system of nonlinear ordinary differential equations (ODEs). Optimal control for HIV models is presented. The Pontryagin's Maximum Principle (PMP) is used to derive the optimality system (OS) which is solved numerically using the nonstandard finite difference method (NSFDM), standard finite difference method (SFDM) and forward-backward sweep method (FBSM). Existences and uniqueness for the solutions of the mathematical models are proved. Also, two general HIV models are presented as fractional-order mathematical models. The fractional derivative is defined in the sense of Caputo definition. The shifted Chebyshev spectral method (SCSM) is used to study the OS for the first model. Two different numerical methods are introduced to study the optimal control problems of both models. These methods are iterative optimal control method (IOCM) and the generalized Euler method (GEM).

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Numerical Methods to Solve Fractional Order Optimal Control Problems

Numerical Simulation of Fractional HIV Models Using Some Numerical Methods

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