Results 31 to 40 of about 879,634 (286)

Solving linear parabolic rough partial differential equations [PDF]

, 2018
We study linear rough partial differential equations in the setting of [Friz and Hairer, Springer, 2014, Chapter 12]. More precisely, we consider a linear parabolic partial differential equation driven by a deterministic rough path $\mathbf{W}$ of H ...
Bayer, Christian, Belomestny, Denis, Redmann, Martin, Riedel, Sebastian, Schoenmakers, John   +4 more
core   +3 more sources

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

International 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

On a complex differential Riccati equation [PDF]

, 2007
We consider a nonlinear partial differential equation for complex-valued functions which is related to the two-dimensional stationary Schrodinger equation and enjoys many properties similar to those of the ordinary differential Riccati equation as, e.g.,
Bernstein S, Bernstein S, Bers L, Bogdanov Y, Davis H, De Schepper N Peña D Brackx F, Hille E, Kamke E, Kira V Khmelnytskaya, Kravchenko V G, Kravchenko V G, Kravchenko V V, Kravchenko V V, Kravchenko V V, Kravchenko V V, Kravchenko V V, Kravchenko V V, Marchenko V, Matveev V, Mielnik B, Mielnik B, Novikov S P, Reid W, Samsonov B F, Tutschke W, Vekua I N, Vekua I N, Vladislav V Kravchenko, Watson G A   +28 more
core   +2 more sources

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

Results 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]

Journal 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

Journal 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, Amit Prakash, Devendra Kumar, Jagdev Singh   +3 more
doaj   +1 more source

Structured populations with distributed recruitment: from PDE to delay formulation

, 2016
In this work first we consider a physiologically structured population model with a distributed recruitment process. That is, our model allows newly recruited individuals to enter the population at all possible individual states, in principle.
Calsina, Àngel, Diekmann, Odo, Farkas, József Z.   +2 more
core   +1 more source

On the construction of partial difference schemes II: discrete variables and Schwarzian lattices [PDF]

, 2016
In the process of constructing invariant difference schemes which approximate partial differential equations we write down a procedure for discretizing an arbitrary partial differential equation on an arbitrary lattice.
Levi, Decio, Rodriguez, Miguel A.
core   +5 more sources

Oscillation of a time fractional partial differential equation

Electronic Journal of Qualitative Theory of Differential Equations, 2014
We consider a time fractional partial differential equation subject to the Neumann boundary condition. Several sufficient conditions are established for oscillation of solutions of such equation by using the integral averaging method and a generalized ...
P. Prakash, S. Harikrishnan, Juan Nieto, Jeong Hoon Kim   +3 more
doaj   +1 more source

Gravitating fluids with Lie symmetries

, 2010
We analyse the underlying nonlinear partial differential equation which arises in the study of gravitating flat fluid plates of embedding class one. Our interest in this equation lies in discussing new solutions that can be found by means of Lie point ...
A M Msomi, Bluman G W, Dimas S, Hereman W, K S Govinder, Lobo F S N, Olver P J, S D Maharaj, Thirukkanesh S, Wolfram S   +9 more
core   +1 more source