[PDF] Top 20 Stability and convergence of the space fractional variable order Schrödinger equation
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Stability and convergence of the space fractional variable order Schrödinger equation
... the space variable-order fractional derivative to solve numerically the VO space fractional Schrödinger equation ...the Schrödinger equation have ... See full document
10
Stability and convergence of the Crank Nicolson scheme for a class of variable coefficient tempered fractional diffusion equations
... high order difference ap- proximations for the left and right Riemann-Liouville tempered fractional derivatives in [], and their results have been an interest in the numerical simulation of the tempered ... See full document
11
Difference numerical solutions for time-space fractional advection diffusion equation
... time-space fractional advection diffusion equation, where the time term, the advection term, and the diffusion term are all fractional order ...the stability and convergence ... See full document
11
A fourth order linearized difference scheme for the coupled space fractional Ginzburg–Landau equation
... The rest of this paper is organized as follows. Section 2 gives the linearized implicit finite difference method. Section 3 provides the theoretical analysis for the proposed scheme, which includes the convergence ... See full document
22
Numerical Method For Variable-order Space Fractional Diffusion Equation and Applications
... explicit fractional order finite difference scheme for variable- order space fractional diffusion equation ...the stability and convergence of the scheme in ... See full document
9
Maximum norm error estimates of fourth order compact difference scheme for the nonlinear Schrödinger equation involving a quintic term
... The remainder of this paper is organized as follows. A fourth-order compact difference scheme is proposed in Sect. 2. The discrete conservation laws of the difference scheme are discussed in Sect. 3. In Sect. 4, the ... See full document
15
Investigation for Stability of Fractional Explicit Method for pricing option
... of fractional diffusion models have been increasingly noticeable in ...time fractional diffusion equation in whole space and also in half ...time fractional diffusion equation by ... See full document
7
Large time behavior for the fractional Ginzburg-Landau equations near the BCS-BEC crossover regime of Fermi gases
... In , on the basis of the functional integral formalism, Machida and Koyama [] constructed a time-dependent Ginzburg-Landau theory for the superfluid atomic Fermi gases near the Feshbach resonance from the ... See full document
16
Online Full Text
... for space fractional order differential equations with inhomogeneous boundary ...and stability of the solution to the initial value/boundary value problems for fractional diffusion-wave ... See full document
12
Finite difference scheme for multi term variable order fractional diffusion equation
... multi-term variable-order fractional diffusion equation on a finite domain, which involves the Caputo variable-order time fractional derivative of order α (x, t) ∈ ... See full document
13
Approximate Solution For Time-Space Fractional Soil Moisture Diffusion Equation And Its Application
... implicit fractional order finite difference scheme for time-space fractional soil moisture diffusion ...The stability of the solution is proved in section 3 and the concept of ... See full document
6
Factorization method for fractional Schrödinger equation in D-dimensional fractional space and homogeneous manifold SL(2,c)/GL(1,c)
... odinger equation in different settings [1, 7, 8, ...polar variable and then obtained fractional time-independent Schr¨ odinger equation with a potential that depended only on a radial distance ... See full document
7
2. Stability of a linear integro-differential equation of first order with variable delays
... The motivation to consider IDE (1.1) and investigation its some qualitative prop- erties come from the papers of Levin [10], Burton [4], Jin and Luo [9] and the sources that found in the references of this article. Here, ... See full document
12
Energy solutions and concentration problem of fractional Schrödinger equation
... In this paper, we consider a fractional Schrödinger equation with steep potential well and sublinear perturbation. By virtue of variational methods, the existence criteria of infinitely many ... See full document
18
Natural Transform for Solving Fractional Models
... Keywords Fractional Calculus, Natural Transform, A Domain Decomposition Natural Transform Method ADNTM, Fokker-Planck Equation, Schrödinger Equation, Kelin-Gorden Equation.. Introduction[r] ... See full document
12
An a posteriori Fourier regularization method for identifying the unknown source of the space fractional diffusion equation
... The Fourier regularization method has been studied for solving various types of inverse problems. Eldén et al. [] used the truncation method to analyze and compute a one- dimensional inverse heat conduction problem. ... See full document
13
Continuity Equation in Presence of a Non Local Potential in Non Commutative Phase Space
... ger equation and consequently, the continuity equation obtained in the case of commutativity and in the case of non-commutativity, without forgetting that the Schrödinger equation considered ... See full document
14
McGraw Hill Physics Demystified pdf
... One second also happens to be the time it takes for a ray of light to travel 2.99792458 10 8 m through space. This is about three-quarters of the way to the Moon. You may have heard of the Moon being a little more ... See full document
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Concentrating standing waves for the fractional Schrödinger equation with critical nonlinearities
... In the classical case s = , there is a broad literature on the concentration phenomenon, for example, see [–] and the references therein. Investigations of the existence of so- lutions concentrating at certain points ... See full document
26
On the Stability of the Defocusing Mass Critical Nonlinear Schrödinger Equation
... nonlinear Schrödinger equations in exterior ...nonlinear Schrödinger equation and the focusing cubic nonlinear Schrödinger equation in the exterior domain Ω of a smooth, compact, ... See full document
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