Results 21 to 30 of about 2,389 (167)

Numerical Solutions of a Variable-Order Fractional Financial System

Journal of Applied Mathematics, 2012
The numerical solution of a variable-order fractional financial system is calculated by using the Adams-Bashforth-Moulton method. The derivative is defined in the Caputo variable-order fractional sense.
Shichang Ma, Yufeng Xu, Wei Yue
doaj   +1 more source

Studies of the Fractional Selkov Dynamical System for Describing the Self-Oscillatory Regime of Microseisms

Mathematics, 2022
A non-linear fractional Selkov dynamic system for mathematical modeling of microseismic phenomena is proposed. This system is a generalization of the previously known Selkov system, which has self-oscillatory modes and is used in biology to describe ...
Roman Ivanovich Parovik
doaj   +1 more source

Performance of modified non-linear shooting method for simulation of 2nd order two-point BVPS [PDF]

, 2016
In this research article, numerical solution of nonlinear 2nd order two-point boundary value problems (TPBVPs) is discussed by the help of nonlinear shooting method (NLSM), and through the modified nonlinear shooting method (MNLSM).
Alias, N., Habib, M., Manaf, A.
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SIR FRACTIONAL ORDER OF COVID-19 by ADAMS BASHFORTH-MOULTON METHOD [PDF]

Malaysian Journal of Computing
This study addresses a research gap by introducing fractional order derivatives into the SIR model for tracking COVID-19 in Malaysia. The Caputo sense fractional derivative and the Adams Bashforth Moulton method are employed to analyse the COVID-19 ...
Zubaidah Sadikin, Zaileha Md Ali, Fatin Nadira Rusly, Nuramira Husna Abu Hassan, Siti Rahimah Batcha, Noratika Nordin   +5 more
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Exploring the relationship dynamics between farmers and mediators through the lens of the Caputo fractional derivatives

Results in Control and Optimization, 2023
This study aims to propose a mathematical model in the frame of fractional derivative, that explores the relationship between crops, farmers, and intermediaries.
Manisha Krishna Naik, Chandrali Baishya, Mohammed K.A. Kaabar   +2 more
doaj   +1 more source

Linear multistep methods for optimal control problems and applications to hyperbolic relaxation systems [PDF]

, 2018
We are interested in high-order linear multistep schemes for time discretization of adjoint equations arising within optimal control problems. First we consider optimal control problems for ordinary differential equations and show loss of accuracy for ...
Albi, Giacomo, Herty, Michael, Pareschi, Lorenzo   +2 more
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Solving periodic semilinear stiff PDEs in 1D, 2D and 3D with exponential integrators [PDF]

, 2020
Dozens of exponential integration formulas have been proposed for the high-accuracy solution of stiff PDEs such as the Allen-Cahn, Korteweg-de Vries and Ginzburg-Landau equations.
Bootland, Niall, Montanelli, Hadrien
core   +3 more sources

Solving Troesch's problem by using modified nonlinear shooting method [PDF]

, 2016
In this research article, the non - linear shooting method is modified (MNLSM) and is considered to simulate Troesch’s sensitive problem (TSP) numerically. TSP is a 2nd order non - linear BVP with Dirichlet boundary conditions . In M NLSM
Ali, Akhtar, Alias, Norma, Habib, Mustafa, Manaf, Abdul   +3 more
core   +2 more sources

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
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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