Second-Order Elliptic Equation
The stable extrinsic extended finite element method for second order elliptic equation with interfaces
... In this paper, a stable extrinsic extended finite element method (SXFEM) is proposed to solve the second order elliptic equation with discontinuous coefficients and interfaces. SXFEM is designed ...
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On the Existence, Uniqueness, and Basis Properties of Radial Eigenfunctions of a Semilinear Second Order Elliptic Equation in a Ball
... Here we note only that our formulation of the problem is “good” in the sense that, as in the linear case, our problem has an infinite sequence of radial eigenfunctions un , where for eac[r] ...
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On a difference scheme of the second order of accuracy for elliptic-parabolic equations
... the second order of accuracy difference scheme for elliptic-parabolic equations are ob- ...and second order of accuracy schemes for one-dimensional elliptic-parabolic differential ...
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Second order sufficient optimality conditions for a class of elliptic control problems
... adjoint equation admits for given real Borel measures µ Ω and µ Γ concentrated on Ω and Γ, respectively, a unique solution ϕ ∈ W 1,σ (Ω) for all σ < n/(n − 1), since b y ∈ L ∞ (Γ) is ...
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Hölder Regularity of Solutions to Second-Order Elliptic Equations in Nonsmooth Domains
... Indeed, if γ ≤ 0, then any solution to the equation − u = f blows to + ∞ near ∂Ω = { 1, − 1 } . If γ > 1, then this problem has a unique solution u, but estimate (M) cannot hold, because it implies the ...
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A Stable Mixed Finite Element Scheme for the Second Order Elliptic Problems
... convergence order, it becomes more and more popular in the numerical com- putational ...the second order elliptic ...Burgers equation by using the P 0 2 − P 1 FE ...
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Vol 3, No 2 (2012)
... fourth order elliptic equation by transforming it into a second order co-operative elliptic ...higher order elliptic equations using same ...higher order ...
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A nonlinear p-Laplace equation with critical Sobolev-Hardy exponents and Robin boundary conditions
... For second-order semilinear elliptic differential equations on bounded domains, Brezis and Lieb [] obtained an existence result of solutions for a class of elliptic equations with critical ...
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Solution of a Second Order Elliptic Partial Differential Equation with Varying Complex Coefficients: An Application for Computing Effective Complex Electrical Properties of Materials represented by 3D Images
... the second order elliptic partial differential equation fulfils some mathematical conditions to make sure that the equation has a unique ...the equation. The second stage ...
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A Maximum Principle Result for a General Fourth Order Semilinear Elliptic Equation
... the second gra- dient and on the square of the gradient of the solution are ...fourth order elliptic diffe- rential equations whose principal part is the biharmonic ...
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Comparative Analysis of Finite Difference Methods for Solving Second Order Linear Partial Differential Equations
... The Liebmann’s and Gauss Seidel finite difference methods of solution are applied to a two dimensional second order linear elliptic partial differential equation with specified boundary ...
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On an effective solution of the Riemann problem for the second order improperly elliptic equation in the rectangle
... erly elliptic equation to the boundary value problems for properly elliptic equations (in our case, to boundary value problems for biharmonic and Laplace ...
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Poincaré Problem for Nonlinear Elliptic Equations of Second Order in Unbounded Domains
... some second order elliptic equations, but it can not be ...nonlinear elliptic equations of second order in some bounded ...nonlinear elliptic equations of second ...
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Existence of solutions of a second order impulsive differential equation
... Nowadays, with the rapid development of science and technology, many people have realized that the theory of impulsive differential equations is not only richer than the corre- sponding theory of differential equations but ...
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NUMERICAL SOLUTION OF THE INTERRELATED DIFFERENTIAL EQUATION OF MOTION IN PHONON ENGINEERING
... In order to find the phonon dispersion, the equation of motion for elastic vibration should be ...the equation of motion for the elastic vibrations in an anisotropic medium can be written as ...
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Second-order estimates for boundary blowup solutions of special elliptic equations
... Porru, Boundary estimates for blow-up solutions of elliptic equations with exponential growth , to appear in Proceedings Di ff erential and Di ff erence Equations.. Porru, Higher order bou[r] ...
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Solution Of Integro-Differential Equation Of The Second Order With The Operators
... the second order with the operators by using both method Picard approximation and Banach fixed point theorem which are given in [ 5 ] and [ 7 ] respectively and the problem which are studying is the ...
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New Oscillation Criteria of Second Order Nonlinear Delay Dynamic Equations on Time Scales
... the second-order nonlinear delay dynamic equations on time ...the second-order nonlinear delay differential equation and the second-order nonlinear delay difference ...
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Asymptotic Theory for a General Second Order Differential Equation
... Introduction In this paper, we examine the asymptotic form of two linearly independant solutions of the general second-order differential equation... dx The coefficients p,q and r are no[r] ...
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On a class of second order nonlinear difference equation
... Proof We must prove that the positive equilibrium point x ¯ of Equation (1.1) is both locally asymptotically stable and globally attractive. Theorem 3.5 has shown the local asymptotic stability of x. Hence, it ...
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