Results 21 to 30 of about 6,376,169 (271)

Method of functional parametrization for solving a semi-periodic initial problem for fourth-order partial differential equations

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2020
A semi-periodic initial boundary-value problem for a fourth-order system of partial differential equations is considered. Using the method of functional parametrization, an additional parameter is carried out and the studied problem is reduced to the ...
A.T. Assanova, Zh.S. Tokmurzin
doaj   +1 more source

Method of lines for parabolic stochastic functional partial differential equations [PDF]

open access: yesOpuscula Mathematica, 2014
We approximate parabolic stochastic functional differential equations substituting the derivatives in the space variable by finite differences. We prove the stability of the method of lines corresponding to a parabolic SPDE driven by Brownian motion.
Maria Ziemlańska
doaj   +1 more source

Partial Differential Equations and Function Spaces [PDF]

open access: yesJournal of Function Spaces, 2016
It is well known that PDEs and the theory of function spaces have played a central role in the mathematical analysis of problems arising from mathematical physics, biology, and other branches of modern applied sciences. This special issue addresses the current advances in these two broad areas; in particular it focuses on the connections and ...
Shijun Zheng   +3 more
openaire   +4 more sources

Stability results for the functional differential equations associated to water hammer in hydraulics

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2022
There is considered a system of two sets of partial differential equations describing the water hammer in a hydroelectric power plant containing the dynamics of the tunnel, turbine penstock, surge tank and hydraulic turbine.
Vladimir Rasvan
doaj   +1 more source

Higher order parallel splitting methods for parabolic partial differential equations [PDF]

open access: yes, 1995
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops two families of numerical methods, based upon new rational approximations to the matrix exponential function, for solving second-order ...
Taj, Malik Shahadat Ali
core   +7 more sources

Parallel unstructured solvers for linear partial differential equations [PDF]

open access: yes, 2006
This thesis presents the development of a parallel algorithm to solve symmetric systems of linear equations and the computational implementation of a parallel partial differential equations solver for unstructured meshes.
Becker, Dulcenéia
core   +7 more sources

Invariant manifolds of partial functional differential equations

open access: yesJournal of Differential Equations, 2004
The authors give a proof for the existence and attractivity of center-unstable, center and stable manifolds for general evolutionary processes using the method of graph transforms. They indicate that their results can be applied to a large class of equations generating evolutionary processes that may not be strongly continuous.
Van Minh, Nguyen, Wu, Jianhong
openaire   +1 more source

GREEN'S FUNCTIONS OF PARTIAL DIFFERENTIAL EQUATIONS WITH INVOLUTIONS

open access: yesJournal of Applied Analysis & Computation, 2017
Summary: In this paper we develop a way of obtaining Green's functions of partial differential equations with linear involutions by reducing the equation to a higher-order PDE without involutions. The developed theory is applied to a model of heat transfer in a conducting plate which is bent in half.
Adrian, F., Tojo, F., Torres, Pedro J.
openaire   +2 more sources

Lyapunov - Krasovsky functionals and partial equiboundedness of solutions with partial control of prehistories

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки
Background. In this paper, solutions of retarded-functional differential equations are investigated for equiboundedness, partial equiboundedness, and partial equiboundedness with partial control of the histories of these solutions.
Kirill S. Lapin, Vladislav A. Aryanov
doaj   +1 more source

The system of partial differential equations for the C0 function

open access: yesNuclear Physics B, 2019
We present an approach to analyze the scalar integrals of any Feynman diagrams in detail here. This method not only completely recovers some well-known results in the literature, but also produces some brand new results on the $C_{_0}$ function.
Tai-Fu Feng   +3 more
openaire   +4 more sources

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