Results 31 to 40 of about 873,614 (361)

Lie symmetry analysis, particular solutions and conservation laws of a (2+1)-dimensional KdV4 equation

open access: yesMathematical Biosciences and Engineering, 2023
In this paper, a (2+1)-dimensional KdV4 equation is considered. We obtain Lie symmetries of this equation by utilizing Lie point symmetry analysis method, then use them to perform symmetry reductions.
Sixing Tao
doaj   +1 more source

Hyperbolic function solutions of time-fractional Kadomtsev-Petviashvili equation with variable-coefficients

open access: yesAIMS Mathematics, 2022
Based on the variable separation method, the Kadomtsev-Petviashvili equation is transformed into a system of equations, in which one is a fractional ordinary differential equation with respect to time variable t, and the other is an integer order ...
Cheng Chen
doaj   +1 more source

Exact Solutions of the Two-Dimensional Cattaneo Model Using Lie Symmetry Transformations

open access: yesDiscrete Dynamics in Nature and Society, 2021
In this article, symmetry technique is utilized to obtain new exact solutions of the Cattaneo equation. The infinitesimal symmetries, linear combinations of these symmetries, and corresponding similarity variables are determined, which lead to many exact
Khudija Bibi, Khalil Ahmad
doaj   +1 more source

IMPLEMENTASI DELAY DIFFERENTIAL EQUATION PADA SOLVER ORDINARY DIFFERENTIAL EQUATION MATLAB

open access: yesJUTI: Jurnal Ilmiah Teknologi Informasi, 2002
Ordinary Differential Equation (ODE) dan Delay Differential Equation (DDE) banyak digunakan untuk menerangkan kejadian-kejadian pada dunia nyata. ODE melibatkan derivatif yang dipengaruhi oleh penyelesaian waktu sekarang dari variabel-variabel yang tidak
Rully Soelaiman, Yudhi Purwananto
doaj   +1 more source

Application of the averaging method to the gyrokinetic plasma [PDF]

open access: yes, 2006
we show that the solution to an oscillatory-singularly perturbed ordinary differential equation may be asymptotically expanded into a sum of oscillating terms.
Frenod, Emmanuel
core   +5 more sources

Evolutionary Approaches to the Identification of Dynamic Processes in the Form of Differential Equations and Their Systems

open access: yesAlgorithms, 2022
Evolutionary approaches are widely applied in solving various types of problems. The paper considers the application of EvolODE and EvolODES approaches to the identification of dynamic systems.
Tatiana Karaseva, Eugene Semenkin
doaj   +1 more source

Data assimilation as a learning tool to infer ordinary differential equation representations of dynamical models

open access: yesNonlinear Processes in Geophysics, 2019
. Recent progress in machine learning has shown how to forecast and, to some extent, learn the dynamics of a model from its output, resorting in particular to neural networks and deep learning techniques.
M. Bocquet   +3 more
semanticscholar   +1 more source

Effective Capital in Upgraded Solow Macro-Model of Economic Growth

open access: yesВестник Российского экономического университета имени Г. В. Плеханова, 2022
The article studies the macro-economic theory of economic growth Solow in complicated case, when technical progress is materialized in capital. In this situation the production function depends on effective capital and labour resource.
A. Yu. Meerson, A. P. Chernyaev
doaj   +1 more source

On the discrete and continuous Miura Chain associated with the Sixth Painlevé Equation [PDF]

open access: yes, 1999
A Miura chain is a (closed) sequence of differential (or difference) equations that are related by Miura or B\"acklund transformations. We describe such a chain for the sixth Painlev\'e equation (\pvi), containing, apart from \pvi itself, a Schwarzian ...
Ablowitz   +25 more
core   +3 more sources

Differential Transformation Method (DTM) for Approximate Solution of Ordinary Differential Equation (ODE)

open access: yesAdvances in Modelling and Analysis B, 2018
This paper presents the differential transformation method to evaluate approximate solution of ordinary differential equation along with its application in electrical circuit problem in various time domain.
M. Mohanty, S. Jena
semanticscholar   +1 more source

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