Results 31 to 40 of about 2,380 (167)

Robust control for variable order time fractional butterfly- shaped chaotic attractor system

Journal of Applied Research on Industrial Engineering, 2020
In this article, we investigated the robust control approach for variable-order fractional time fractional butterfly- shaped chaotic attractor system that the fractional derivative is considered in Atangana-Baleanu-Caputo sense. We show the computational
Anis Shabani, Amir Hossein Refahi Sheikhani, Hossein Aminikhah   +2 more
doaj   +1 more source

Fractional Modeling of Cancer with Mixed Therapies

Frontiers in Bioscience-Landmark, 2023
Background: Cancer is the biggest cause of mortality globally, with approximately 10 million fatalities expected by 2020, or about one in every six deaths. Breast, lung, colon, rectum, and prostate cancers are the most prevalent types of cancer. Methods:
Shumaila Javeed, Zain Ul Abdeen, Dumitru Baleanu   +2 more
doaj   +1 more source

A 3D MHD model of astrophysical flows: algorithms, tests and parallelisation [PDF]

, 2001
In this paper we describe a numerical method designed for modelling different kinds of astrophysical flows in three dimensions. Our method is a standard explicit finite difference method employing the local shearing-box technique. To model the features
Balbus, Balsara, Brandenburg, Brio, Cattaneo, Dalgarno, Ferriére, Frisch, Galsgaard, Hawley, Hawley, Heiles, Julian, Koo, Korpi, Mac Low, Mouschovias, Nordlund, Normandeau, Ostriker, Parker, Pouquet, Raymond, Rosen, Sod, Spitzer, Steenbeck, Stein, Stone, Stone, Stone, Taylor, Tomisaka, Voinovich, von Neumann, Vázquez-Semadeni, Wisdom, Woodward, Yoshioka   +38 more
core   +2 more sources

On the numerical solutions of some fractional ordinary differential equations by fractional Adams-Bashforth-Moulton method

Open Mathematics, 2015
In this paper, we apply the Fractional Adams-Bashforth-Moulton Method for obtaining the numerical solutions of some linear and nonlinear fractional ordinary differential equations.
Baskonus Haci Mehmet, Bulut Hasan
doaj   +1 more source

The Impact of Radiation Effect on MHD Stagnation-Point Flow of a Nanofluid over an Exponentially Stretching Sheet in the Presence of Chemical Reaction

International Journal of Applied Mechanics and Engineering, 2019
The present study is to investigate the effect of the chemical reaction parameter on stagnation point flow of magnetohydrodynamics field past an exponentially stretching sheet by considering a nanofluid.
G. Narender, G. Sreedhar Sarma, K. Govardhan   +2 more
doaj   +1 more source

Semi-Implicit Multistep Extrapolation ODE Solvers

Mathematics, 2020
Multistep methods for the numerical solution of ordinary differential equations are an important class of applied mathematical techniques. This paper is motivated by recently reported advances in semi-implicit numerical integration methods, multistep and
Denis Butusov, Aleksandra Tutueva, Petr Fedoseev, Artem Terentev, Artur Karimov   +4 more
doaj   +1 more source

A Numerical Method for Delayed Fractional-Order Differential Equations

Journal of Applied Mathematics, 2013
A numerical method for nonlinear fractional-order differential equations with constant or time-varying delay is devised. The order here is an arbitrary positive real number, and the differential operator is with the Caputo definition.
Zhen Wang
doaj   +1 more source

Chaos and bifurcations in chaotic maps with parameter q: Numerical and analytical studies

Nonlinear Analysis, 2015
In this paper, a class of chaotic maps with parameter q are introduced and bifurcations and chaos in proposed maps are numerical and analytical studied.
Hao Zhang, Xing Yuan Wang, Xiao Hui Lin
doaj   +1 more source

Matlab code for Lyapunov exponents of fractional order systems

, 2018
In this paper the Benettin-Wolf algorithm to determine all Lyapunov exponents for a class of fractional-order systems modeled by Caputo's derivative and the corresponding Matlab code are presented.
Danca, Marius-F., Kuznetsov, Nikolay
core   +1 more source

Numerical solution for immunology tuberculosis model using Runge Kutta Fehlberg and Adams Bashforth Moulton method [PDF]

, 2016
The Immunology tuberculosis model that has been formulated by (Ibarguen, E., Esteva, L., & Chavez, L, 2011) in the form of a system of nonlinear differential equations first order. In this study, we used to Runge Kutta Fehlberg method and Adams Bashforth
Pagalay, Usman
core   +1 more source