Results 41 to 50 of about 437 (100)

A Taylor-type numerical method for solving nonlinear ordinary differential equations

open access: yesAlexandria Engineering Journal, 2013
A novel approximate method is proposed for solving nonlinear differential equations. Chang and Chang in [8] suggested a technique for calculating the one-dimensional differential transform of nonlinear functions.
H. Saberi Nik, F. Soleymani
doaj   +1 more source

Numerical Solutions of Nonlinear Biochemical Model Using a Hybrid Numerical- Analytical Technique [PDF]

open access: yes, 2015
In this paper, a hybrid numerical-analytical technique resulting from the combination of the differential transformation method and the Pade approximation technique; hereby referred to as differential transformation-Pade approximation technique (DTPAT ...
Akinlabi, G. O.   +5 more
core   +1 more source

A Comparative Study of the Pendulum Equation Using Two Analytical Methods

open access: yesJournal of Mathematics, Volume 2024, Issue 1, 2024.
This paper presents a comprehensive comparison between the modified harmonic balance method (MHBM) and He’s frequency formulation (HFF) for solving the nonlinear dynamics of an excited pendulum constrained by a crank‐shaft‐slider mechanism (CSSM).
Nazmul Sharif   +2 more
wiley   +1 more source

On the correct formulation of a nonlinear differential equations in Banach space

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 7, Page 437-444, 2001., 2001
We study, the existence and uniqueness of the initial value problems in a Banach space E for the abstract nonlinear differential equation (dn−1/dtn−1)(du/dt + Au) = B(t)u + f(t, W(t)), and consider the correct solution of this problem. We also give an application of the theory of partial differential equations.
Mahmoud M. El-Borai   +2 more
wiley   +1 more source

Collocation Method using Compactly Supported Radial Basis Function for Solving Volterra's Population Model

open access: yes, 2015
In this paper, indirect collocation approach based on compactly supported radial basis function is applied for solving Volterras population model.
Hemami, Mohammad, Parand, Kourosh
core   +1 more source

The initial boundary value problem of a mixed‐typed hemivariational inequality

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 1, Page 43-52, 2001., 2001
A mixed‐typed differential inclusion with a weakly continuous nonlinear term and a nonmonotone discontinuous nonlinear multi‐valued term is studied, and the existence and decay of solutions are established.
Guo Xingming
wiley   +1 more source

Local existence result of the single dopant diffusion including cluster reactions of high order

open access: yesAbstract and Applied Analysis, Volume 6, Issue 1, Page 13-34, 2001., 2001
We consider the pair diffusion process which includes cluster reactions of high order. We are able to prove a local (in time) existence result in arbitrary space dimensions. The model includes a nonlinear system of reaction‐drift‐diffusion equations, a nonlinear system of ordinary differential equations in Banach spaces, and a nonlinear elliptic ...
R. Bader, W. Merz
wiley   +1 more source

Series solutions for the Laguerre and Lane-Emden fractional differential equations in the sense of conformable fractional derivative

open access: yesAlexandria Engineering Journal, 2019
In the present paper, we use efficient and simple algorithms of the fractional power series and Adomain polynomial methods that provide effective tools for solving such linear and nonlinear fractional differential equations in the sense of conformable ...
Zeyad Al-Zhour   +3 more
doaj   +1 more source

Some nonlinear inequalities and applications [PDF]

open access: yes, 2010
Sufficient conditions are given for the relation $\lim_{t\to\infty}y(t) = 0$ to hold, where $y(t)$ is a continuous nonnegative function on $[0,1)$ satisfying some nonlinear inequalities.
Hoang, N. S., Ramm, A. G.
core   +4 more sources

Almost periodic evolution systems with impulse action at state-dependent moments

open access: yes, 2016
We study the existence of almost periodic solutions for semi-linear abstract parabolic evolution equations with impulse action at state-dependent moments. In particular, we present conditions excluding the beating phenomenon in these systems.
Hakl, Robert   +3 more
core   +1 more source

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