Results 41 to 50 of about 16,357 (168)

The Expansion Al-Zughair transformation and its devloper of it to solve Linear ordinary differential equations with constant coefficients [PDF]

مجلة جامعة الانبار للعلوم الصرفة
A fundamental component of applied mathematics are differential equations with constant coefficients. Both complicated and physical systems may be well described using it.
Ali Mohammed, Zainab Razzaq
doaj   +1 more source

First Integrals and Exact Solutions of a System of Ordinary Differential Equations with Power Nonlinearity

Известия Иркутского государственного университета: Серия "Математика", 2017
The system of ordinary differential equations with degree nonlinearities is considered. Systems of such kind arise as comparison systems at stability analysis by means non-linear approximation and at application of reduction method to switched systems ...
A. Kosov, E. Semenov, S. P. Golysheva
doaj   +1 more source

Representations of Solutions of Time-Fractional Multi-Order Systems of Differential-Operator Equations

Fractal and Fractional
This paper is devoted to the general theory of systems of linear time-fractional differential-operator equations. The representation formulas for solutions of systems of ordinary differential equations with single (commensurate) fractional order is known
Sabir Umarov
doaj   +1 more source

Numerical Solution for Super Large Scale Systems

IEEE Access, 2013
In this paper, a new ordinary differential equation numerical integration method is successfully applied to various mathematical branches such as partial differential equation (PDE) boundary problems, PDE initial-boundary problems, tough nonlinear ...
Tianmin Han, Yuhuan Han
doaj   +1 more source

Oscillation, suboscillation and nonoscillation criteria for linear systems of ordinary differential equations

, 2022
10 ...
openaire   +2 more sources

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

On theories of natural decomposition method applied to system of nonlinear differential equations in fluid mechanics

Advances in Mechanical Engineering, 2023
In shallow waters, the Wu-Zhang (WZ) system describes the (1+1)-dimensional dispersive long wave in two horizontal directions, which is important for the engineering community.
Nazek A Obeidat, Mahmoud S Rawashdeh
doaj   +1 more source

Cauchy Problem for a Linear System of Ordinary Differential Equations of the Fractional Order

Mathematics, 2020
We investigate the initial problem for a linear system of ordinary differential equations with constant coefficients and with the Dzhrbashyan–Nersesyan fractional differentiation operator.
Murat Mamchuev
doaj   +1 more source

A hybrid functions method for solving linear and non-linear systems of ordinary differential equations

Mathematical Communications, 2021
Summary: In the present paper, we use a hybrid method to solve linear or non-linear systems of ordinary differential equations (ODEs). By using this method, these systems are reduced to a linear or non-linear system of algebraic equations. In error discussion of the suggested method, an upper bound of the error is obtained. Also, to survey the accuracy
Doostdar, Mohammadreza, Vahidi, Alireza, Damercheli, Tayebeh, Babolian, Esmail   +3 more
openaire   +3 more sources

Uniform exponential stability of linear almost periodic systems in Banach spaces

Electronic Journal of Differential Equations, 2000
This article is devoted to the study linear non-autonomous dynamical systems possessing the property of uniform exponential stability. We prove that if the Cauchy operator of these systems possesses a certain compactness property, then the uniform ...
David N. Cheban
doaj