Results 31 to 40 of about 1,124 (201)

A monotone scheme for Hamilton-Jacobi equations via the nonstandard finite difference method [PDF]

, 2009
A usual way of approximating Hamilton-Jacobi equations is to couple space finite element discretization with time finite difference discretization. This classical approach leads to a severe restriction on the time step size for the scheme to be monotone.
Jean M.-S. Lubuma, Anguelov, Roumen, Roumen Anguelov, Lubuma, Jean M.-S., Minani, Froduald, Froduald Minani   +5 more
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A Fourth-Order Compact Finite Difference Scheme for Solving the Time Fractional Carbon Nanotubes Model

The Scientific World Journal, 2022
In this work, we deal with unsteady magnetohydrodynamic allowed convection inflow of blood with a carbon nanotubes model; the single and multiwalled carbon nanotubes of human blood are used as a based fluid. Two numerical methods used to study this model
N. H. Sweilam, Khloud R. Khater, Zafer M. Asker, Waleed Abdel Kareem   +3 more
doaj   +1 more source

A New Numerical Scheme for Time Fractional Diffusive SEAIR Model with Non-Linear Incidence Rate: An Application to Computational Biology

Fractal and Fractional, 2022
In this paper, we propose a modified fractional diffusive SEAIR epidemic model with a nonlinear incidence rate. A constructed model of fractional partial differential equations (PDEs) is more general than the corresponding model of fractional ordinary ...
Yasir Nawaz, Muhammad Shoaib Arif, Wasfi Shatanawi   +2 more
doaj   +1 more source

Dynamically Consistent NSFD Methods for Predator-prey System [PDF]

Journal of Applied and Computational Mechanics, 2021
In this paper, we introduce two nonstandard finite difference (NSFD) methods for solving the mathematical model of the Rosenzweig-MacArthur predator-prey system.
Ali Shokri, Mohammad Mehdizadeh Khalsaraei, Maryam Molayi   +2 more
doaj   +1 more source

Nonstandard finite difference methods preserving general quadratic Lyapunov functions

CoRR, 2023
In this work, we consider a class of dynamical systems described by ordinary differential equations under the assumption that the global asymptotic stability (GAS) of equilibrium points is established based on the Lyapunov stability theory with the help of quadratic Lyapunov functions.
openaire   +2 more sources

Non-standard and Numerov finite difference schemes for finite difference time domain method to solve one-dimensional Schrödinger equation

Journal of Physics: Theories and Applications, 2018
The purpose of  this paper is to show some improvements of the finite-difference time domain (FDTD) method using Numerov and non-standard finite difference (NSFD) schemes for solving the one-dimensional Schrödinger equation.
Lily Maysari Angraini, I Wayan Sudiarta
doaj   +1 more source

Qualitatively Stable Schemes for the Black–Scholes Equation

Fractal and Fractional, 2023
In this paper, the Black–Scholes equation is solved using a new technique. This scheme is derived by combining the Laplace transform method and the nonstandard finite difference (NSFD) strategy. The qualitative properties of the method are discussed, and
Mohammad Mehdizadeh Khalsaraei, Ali Shokri, Yuanheng Wang, Sohrab Bazm, Giti Navidifar, Pari Khakzad   +5 more
doaj   +1 more source

A new crossover dynamics mathematical model of monkeypox disease based on fractional differential equations and the Ψ-Caputo derivative: Numerical treatments

Alexandria Engineering Journal
A novel crossover model for monkeypox disease that incorporates Ψ-Caputo fractional derivatives is presented here, where we use a simple nonstandard kernel function Ψ(t).
N.H. Sweilam, S.M. Al-Mekhlafi, W.S. Abdel Kareem, G. Alqurishi   +3 more
doaj   +1 more source

Nonstandard finite difference methods for solving models of population dynamics [PDF]

AIP Conference Proceedings, 2019
For years, mathematical modeling has been involved in solving problems occurred in ecology relating to population dynamics. In this paper, we solve several models of population dynamic using nonstandard finite difference methods. We compare our results of nonstandard finite difference methods with those of Euler’s and Heun’s methods. Our research shows
Kono, Especially Angelina, Mungkasi, Sudi   +1 more
openaire   +1 more source

Nonstandard finite difference method for solving Second order singularly perturbed problem having Large delay [PDF]

, 2023
In this thesis, nonstandard fitted finite difference method has been presented for the numerical solution of a second order singularly perturbed problems having large delay.
Habtamu Garoma Debela, Worku Tilahun Aniley, Mulat Emagne Bekele   +2 more
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