Results 21 to 30 of about 111,104 (316)

Solving the Generalized Rosenau-KdV Equation by the Meshless Kernel-Based Method of Lines

open access: yesCumhuriyet Science Journal, 2022
This current investigation consists of the numerical solutions of the Generalized Rosenau-KdV equation by using the meshless kernel-based method of lines, which is a truly meshless method.
Murat Arı   +2 more
doaj   +1 more source

Lie Point Symmetries, Traveling Wave Solutions and Conservation Laws of a Non-linear Viscoelastic Wave Equation

open access: yesMathematics, 2021
This paper studies a non-linear viscoelastic wave equation, with non-linear damping and source terms, from the point of view of the Lie groups theory.
Almudena P. Márquez, María S. Bruzón
doaj   +1 more source

Developmental Partial Differential Equations [PDF]

open access: yes2015 54th IEEE Conference on Decision and Control (CDC), 2015
In this paper, we introduce the concept of Developmental Partial Differential Equation (DPDE), which consists of a Partial Differential Equation (PDE) on a time-varying manifold with complete coupling between the PDE and the manifold's evolution.
Pouradier Duteil, Nastassia   +3 more
openaire   +3 more sources

SINGULAR SOLUTIONS OF CLAIRAUT-TYPE EQUATIONS IN PARTIAL DERIVATIVES WITH REVERSE TRIGONOMETRIC FUNCTIONS

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. The problem of evaluation of the special (singular) solutions of Clairaut-type partial differential equations attracts a lot of interest studying various transformations of nonlinear equations of mathematical physics, for example, Legendre
L. L. Ryskina   +2 more
doaj   +1 more source

Inverse problem for a Fredholm third order partial integro-differential equation

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
The solvability of various problems for partial differential equations of the third order is researched in many papers. But, partial Fredholm integro-differential equations of the third order are studied comparatively less. Integro-differential equations
Tursun K Yuldashev
doaj   +1 more source

Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1989
The decomposition method is applied to examples of hyperbolic, parabolic, and elliptic partial differential equations without use of linearizatlon techniques.
G. Adomian
doaj   +1 more source

Renormalizing partial differential equations [PDF]

open access: yes, 2008
In this review paper, we explain how to apply Renormalization Group ideas to the analysis of the long-time asymptotics of solutions of partial differential equations. We illustrate the method on several examples of nonlinear parabolic equations. We discuss many applications, including the stability of profiles and fronts in the Ginzburg-Landau equation,
Bricmont, J., Kupiainen, A.
openaire   +2 more sources

The exact solutions to the generalized (2+1)-dimensional nonlinear wave equation

open access: yesResults in Physics
Due to the importance of the nonlinear partial differential equations in applied physics and engineering, many mathematicians and physicists are interesting to the nonlinear partial differential equations.
Jianping Li, Can Xu, Junliang Lu
doaj   +1 more source

SYMMETRIES OF PARTIAL DIFFERENTIAL EQUATIONS [PDF]

open access: yesJournal of the Korean Mathematical Society, 2003
We establish a link between the study of completely integrable systems of partial differential equations and the study of generic submanifolds in C^n. Using the recent developments of Cauchy-Riemann geometry we provide the set of symmetries of such a system with a Lie group structure.
Gaussier, Hervé, Merker, Joel
openaire   +3 more sources

Numerical study of fractional model of multi-dimensional dispersive partial differential equation

open access: yesJournal of Ocean Engineering and Science, 2019
This article is devoted to a newly introduced numerical method for time-fractional dispersive partial differential equation in a multi-dimensional space.
Vijay Verma   +3 more
doaj   +1 more source

Home - About - Disclaimer - Privacy