Poisson equations
A Fast high Order Algorithm for Three dimensional Poisson Equations
... Abstract. The three-dimensional Poisson equations widely exist in many physical or engineering problems. We proposed a fourth-order fast algorithm for solving the three-dimensional Poisson equation. ...
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Numerical Methods for the Wigner-Poisson Equations
... Wigner- Poisson equations. These equations describe the statistical mechanics of particles under the influence of quantum ...Wigner-Poisson equations consist of two equations: ...
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Particle-in-wavelets scheme for the 1D Vlasov-Poisson equations ⋆,⋆⋆
... Vlasov-Poisson equations, that we call particle- in-wavelets (PIW) because it relies crucially on wavelet expansions of the Dirac delta functions corresponding to every ...
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Parallel parameter study of the Wigner-Poisson equations for RTD'S
... We will discuss a parametric study of the solution of the Wigner-Poisson equations for resonant tunneling diodes. These structures exhibit self-sustaining oscillations in certain operating regimes. We will ...
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Solution of the Wigner-Poisson equations for RTDS
... We will discuss a parametric study of the solution of the Wigner-Poisson equations for resonant tunneling diodes. These structures exhibit self-sustaining oscillations in certain operating regimes. We show ...
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Dirichlet type problems for Dunkl-Poisson equations
... In this paper, using the intertwine relations of differential operators, we study one representation of real analytic functions by Dunkl-harmonic functions, which is a generalization of the well-known Almansi formula. As ...
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Numerical Simulation of Resonant Tunneling Devices Described by the Wigner-Poisson Equations.
... The original goal was to duplicate the results obtained using the original FORTRAN model in 2005 [2] (see figure 6.12), which used a coarse grid of N k = 72 and N x = 86 and a fixed momentum space of [−0.25, 0.25]. ...
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Existence and concentration of solutions for sublinear Schrodinger Poisson equations
... EXISTENCE AND CONCENTRATION OF SOLUTIONS FOR SUBLINEAR ¨ SCHRODINGER-POISSON EQUATIONS Anmin Mao1 and Yusong Chen School of Mathematical Sciences, Qufu Normal University, Shandong 273165[r] ...
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Exact and Explicit Approximate Solutions to the Multi-Order Fractional Burgers-Poisson and Fractional Burgers-Poisson Equations
... (BP) equations were obtained through the use of the homotopy perturbation method (HPM) and the Adomian decomposition method (ADM) in this ...differential equations was established in this ...
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Derivation of Poisson and Nernst-Planck equations in a bath and channel from a molecular model
... NP equations for the charge densities and Poisson equations for averaged electric potentials, from a Langevin model of ionic ...NP equations has two components, the gradient of an electric ...
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Existence Result for a Class of Nonlinear Elliptic Systems on Punctured Unbounded Domains
... We establish the existence of a nontrivial solution for systems with an arbitrary number of coupled Poisson equations with critical growth in punctured unbounded domains. The proof depends on a generalized ...
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Global existence of weak solution for the compressible Navier–Stokes–Poisson system with density-dependent viscosity
... Navier–Stokes–Poisson equations with the non-flat doping profile when the viscosity coefficients are density-dependent, the data are large and spherically symmetric, and we focus on the case where those ...
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Block pulse functions for solving fractional Poisson type equations with Dirichlet and Neumann boundary conditions
... fractional Poisson equations us- ing a two-dimensional Legendre ...integral equations with two-dimensional block pulse functions using a direct ...integral equations of fractional order by ...
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Existence of mild solutions for impulsive fractional stochastic equations with infinite delay
... This paper is mainly concerned with the existence of mild solutions for a class of fractional stochastic differential equations with impulses in Hilbert spaces. A new set of sufficient conditions are formulated ...
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Strong convergence of the split step θ method for stochastic age dependent capital system with Poisson jumps and fractional Brownian motion
... in laws or government policies. However, the randomness of the external environment is not always well modeled by the standard Brownian motion because of the long-range de- pendence of price of the financial products. In ...
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Do Bistable Steric Poisson Nernst Planck Models Describe Single- Channel Gating? Nir Gavish, Chun Liu, and Bob Eisenberg
... the Poisson − Nernst − Planck − Cahn − Hilliard (PNP − CH) model for ion channels and focus on its steady states and their ...PNP-type equations is ...
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Existence, uniqueness and stability results for impulsive stochastic functional differential equations with infinite delay and poisson jumps
... To the best of our knowledge, there is only very few arti- cles in the existing literature that report the study of Impulsive Stochastic functional differential equation with jumps. The aim of this paper is to close this ...
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Linear differential equations for families of polynomials
... the Poisson-Charlier polynomials, actuarial, and Meixner polynomial are ...differential equations arising from the Poisson-Charlier, ac- tuarial, and Meixner polynomials and present some their ...
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