Results 1 to 10 of about 233,511 (375)

On class of elliptic partial differential equations in four variables [PDF]

Pacific Journal of Mathematics, 1964
where A(r), C(r) are analytic functions of the real variable r = x^Xμ. [μ = 1, 2, 3] (Repeated indices mean the summation convention is used.) In this paper we shall investigate the four variable analogue of this equation, TA[W] = 0, and show that many of Bergman's results carry over to this case. Here, we need in many instances, the methods of several
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Solution of the Dirichlet problem for elliptic partial differential equations of the second order [PDF]

, 1959
Jindřich Nečas
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Discussion summary: Fictitious domain methods [PDF]

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

The complexity of numerical methods for elliptic partial differential equations

Journal of Computational and Applied Mathematics, 1978
AbstractWe consider three Ritz-Galerkin procedures with Hermite bicubic, bicubic spline and linear triangular elements for approximating the solution of self-adjoint elliptic partial differential equations and a collocation with Hermite bicubics method for general linear elliptic equations defined on general two dimensional domains with mixed boundary ...
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Existence of a unique solution to an elliptic partial differential equation

Electronic 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
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Numerical computation of transonic flow governed by the full-potential equation [PDF]

Numerical solution techniques for solving transonic flow fields governed by the full potential equation are discussed. In a general sense relaxation schemes suitable for the numerical solution of elliptic partial differential equations are presented and ...
Holst, T. L.
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On the boundary behavior of solutions to a class of elliptic partial differential equations [PDF]

, 1967
Kjell‐Ove Widman
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Some properties of solutions of second-order elliptic partial differential equations with unbounded Dirichlet integral [PDF]

, 1963
Jan Kadlec
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Removable sets for pointwise solutions of elliptic partial differential equations [PDF]

, 1972
Jim Diederich
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New soliton solutions of the conformable time fractional Drinfel'd–Sokolov–Wilson equation based on the complete discriminant system method

Open 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
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