Results 81 to 90 of about 99,299 (234)

Existence of a unique solution to an elliptic partial differential equation

open access: yesElectronic Journal of Differential Equations, 2019
The purpose of this article is to prove the existence of a unique classical solution to the quasilinear elliptic equation $-\nabla \cdot(a(u) \nabla u)=f$ for $\mathbf{x} \in \Omega$, which satisfies the condition that $u(\mathbf{x}_0)=u_0$ at a ...
Diane L. Denny
doaj  

Discussion summary: Fictitious domain methods [PDF]

open access: yes
Fictitious Domain methods are constructed in the following manner: Suppose a partial differential equation is to be solved on an open bounded set, Omega, in 2-D or 3-D. Let R be a rectangle domain containing the closure of Omega. The partial differential
Glowinski, Rowland, Rodrigue, Garry
core   +1 more source

Parameter estimation problems for distributed systems using a multigrid method [PDF]

open access: yes
The problem of estimating spatially varying coefficients of partial differential equations is considered from observation of the solution and of the right hand side of the equation.
Dutt, P., Taasan, S.
core   +1 more source

Binary, linear, elliptic, partial differential equations [PDF]

open access: yesDuke Mathematical Journal, 1955
Hartman, Philip, Wintner, Aurel
openaire   +2 more sources

New soliton solutions of the conformable time fractional Drinfel'd–Sokolov–Wilson equation based on the complete discriminant system method

open access: yesOpen Physics
In this article, we mainly study new soliton solutions of the conformable time fractional Drinfel’d–Sokolov–Wilson (DSW) equation which has applications in a wide range of practical applications, including fluid dynamics problems.
Shi Da, Li Zhao
doaj   +1 more source

A New Extended Jacobi Elliptic Function Expansion Method and Its Application to the Generalized Shallow Water Wave Equation

open access: yesJournal of Applied Mathematics, 2012
With the aid of symbolic computation, a new extended Jacobi elliptic function expansion method is presented by means of a new ansatz, in which periodic solutions of nonlinear evolution equations, which can be expressed as a finite Laurent series of some ...
Yafeng Xiao, Haili Xue, Hongqing Zhang
doaj   +1 more source

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