Results 51 to 60 of about 9,730 (163)

Innovative approache for the nonlinear atangana conformable Klein-Gordon equation unveiling traveling wave patterns

open access: yesPartial Differential Equations in Applied Mathematics
The aim of current work is to establish novel traveling wave solutions of the nonlinear Atangana conformable Klein - Gordon equation using a new extended direct algebraic technique. The Klein - Gordon equation is the relativistic state of the Schrödinger
Hadi Rezazadeh   +5 more
doaj   +1 more source

New soliton solutions of the fractional Regularized Long Wave Burger equation by means of conformable derivative

open access: yesResults in Physics, 2019
In this paper, the practice of the extended direct algebraic method (EDAM) is used to solve fractional Regularized Long Wave Burgers (RLW-Burgers) equation by means of the conformable derivative.
Zeliha Korpinar   +4 more
doaj   +1 more source

Regularity of distributional differential algebraic equations [PDF]

open access: yesMathematics of Control, Signals, and Systems, 2009
The paper is a study of differential algebraic equations (DAEs) of the form \[ E \dot x = Ax + f, \] where \(x \in {\mathbb R}^n\) is a variable depending on the real time \(t\), \(\dot x = \frac{dx}{dt}\), \(E\) and \(A\) are \((n \times n)\)-matrices, and \(f\) is a vector. The aim of this paper is to develop a solution theory for distributional DAEs,
openaire   +1 more source

A hybrid collocation method based on combining the third kind Chebyshev polynomials and block-pulse functions for solving higher-order initial value problems

open access: yesKuwait Journal of Science, 2016
The purpose of this paper is to propose a new collocation method for solving linear and nonlinear differential equations of high order as well as solving the differential equation on a very large interval.
Saeid Jahangiri   +2 more
doaj  

Numerical solution of fractional-order Riccati differential equation by differential quadrature method based on Chebyshev polynomials

open access: yesAdvances in Difference Equations, 2017
We apply the Chebyshev polynomial-based differential quadrature method to the solution of a fractional-order Riccati differential equation. The fractional derivative is described in the Caputo sense.
Jianhua Hou, Changqing Yang
doaj   +1 more source

Converting DAE Models to ODE Models: Application to Reactive Rayleigh Distillation

open access: yesChemical Engineering Transactions, 2013
This paper illustrates the application of an index reduction method to some differential algebraic equations (DAE) modelling the reactive Rayleigh distillation.
K. Alloula   +3 more
doaj   +1 more source

An approximate solution of the Blasius problem using spectral method

open access: yesPartial Differential Equations in Applied Mathematics
This paper aims at finding the numerical approximation of a classical Blasius flat plate problem using spectral collocation method. This technique is based on Chebyshev pseudospectral approach that involves the solution is approximated using Chebyshev ...
Zunera Shoukat   +6 more
doaj   +1 more source

Genetic algorithm for design optimization of multibody dynamics using differential–algebraic equation integrators

open access: yesAdvances in Mechanical Engineering, 2015
Based on the general model of design optimization of multibody dynamics, a modified genetic algorithm with adaptive crossover and mutation rates is developed to find optimal design variables which satisfy the dynamic constraints and obtain optimum ...
Jieyu Ding
doaj   +1 more source

An approximation technique for solving nonlinear oscillators

open access: yesJournal of Low Frequency Noise, Vibration and Active Control
Recently, an approximation technique was presented for solving strong nonlinear oscillators modeled by second-order differential equations. Due to the arising of an algebraic complicity, the method fails to determine suitable solution of some important ...
Md Ashraful Huq, M Kamrul Hasan, MS Alam
doaj   +1 more source

Modeling of Soliton Behavior in Nonlinear Transmission Line Systems

open access: yesMathematics
This study focuses on the nonlinear partial differential equation known as the Lonngren wave equation, which plays a significant role in plasma physics, nonlinear wave propagation, and astrophysical research.
Sadia Medhit   +3 more
doaj   +1 more source

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