Results 11 to 20 of about 23,073 (264)

Modified Integral Homotopy Expansive Method to Find Power Series Solutions of Linear Ordinary Differential Equations about Ordinary Points

open access: yesDiscrete Dynamics in Nature and Society, 2022
This article presents the Modified Integral Homotopy Expansive Method (MIHEM) which is utilized to find power series solutions for linear ordinary differential equations about ordinary points.
Uriel Filobello-Nino   +5 more
doaj   +1 more source

Exact Travelling-Wave Solutions of the Extended Fifth-Order Korteweg-de Vries Equation via Simple Equations Method (SEsM): The Case of Two Simple Equations

open access: yesEntropy, 2022
We apply the Simple Equations Method (SEsM) for obtaining exact travelling-wave solutions of the extended fifth-order Korteweg-de Vries (KdV) equation. We present the solution of this equation as a composite function of two functions of two independent ...
Elena V. Nikolova
doaj   +1 more source

Integral equation in the theory of optimal speed of linear systems with constraints

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2020
Boundary-value problems with phase constraints for linear ordinary differential equations are considered. The necessary and sufficient conditions for the existence of a solution to the boundary value problems of linear ordinary differential equations ...
S.А. Aisagaliev   +2 more
doaj   +1 more source

Numerical Solution of Stieltjes Differential Equations

open access: yesMathematics, 2020
This work is devoted to the obtaining of a new numerical scheme based on quadrature formulae for the Lebesgue–Stieltjes integral for the approximation of Stieltjes ordinary differential equations.
Francisco J. Fernández   +1 more
doaj   +1 more source

Simplified variational iteration method for solving ordinary differential equations and eigenvalue problems

open access: yesAdvances in Mechanical Engineering, 2016
A simplified variational iteration method is proposed to solve high-order homogeneous or nonhomogeneous linear ordinary differential equation and ordinary differential equation eigenvalue problems more efficiently and conveniently.
Chao Pan, Ruifu Zhang, Hao Luo, Hua Shen
doaj   +1 more source

Conditional linearization of the quintic nonlinear beam equation

open access: yesAdvances in Difference Equations, 2017
In this paper, the linearization of third-order ordinary differential equations, which are the transformed equations of the quintic nonlinear beam equation, is presented. First of all, a third-order ordinary differential equation can be linearized if its
Nuntawan Sripana, Waraporn Chatanin
doaj   +1 more source

Adapting the range of validity for the Carleman linearization [PDF]

open access: yesAdvances in Radio Science, 2016
In this contribution, the limitations of the Carleman linearization approach are presented and discussed. The Carleman linearization transforms an ordinary nonlinear differential equation into an infinite system of linear differential equations. In order
H. Weber, W. Mathis
doaj   +1 more source

Numerical Solution of Linear integro-ordinary Differential Equations Using Taylor Series

open access: yesمجلة بغداد للعلوم, 2004
Taylor series is applied to treat two types of higher order linear integro-ordinary differential equations: linear Fredholm and Volterra integro-ordinary differential.
Muna M. Mustafa
doaj   +1 more source

On the solvability of a semi-periodic boundary value problem for the nonlinear Goursat equation [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
In this paper, by means of a change of variables, a nonlinear semi-periodic boundary value problem for the Goursat equation is reduced to a linear gravity problem for hyperbolic equations.
N.T. Orumbayeva   +2 more
doaj   +1 more source

Linearizability of Nonlinear Third-Order Ordinary Differential Equations by Using a Generalized Linearizing Transformation

open access: yesJournal of Applied Mathematics, 2014
We discuss the linearization problem of third-order ordinary differential equation under the generalized linearizing transformation. We identify the form of the linearizable equations and the conditions which allow the third-order ordinary differential ...
E. Thailert, S. Suksern
doaj   +1 more source

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