Conservative finite‐difference scheme for computer simulation of contrast 3D spatial‐temporal structures induced by a laser pulse in a semiconductor
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6245
Abstract: The numerical approach for computer simulation of femtosecond laser pulse interaction with a semiconductor is considered under the formation of 3D contrast time‐dependent spatiotemporal structures. The problem is governed by the set of nonlinear partial… read more here.
Keywords: computer simulation; difference; laser pulse; finite difference ... See more keywords
A conservative compact finite difference scheme for the coupled Schrödinger-KdV equations
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DOI: 10.1007/s10444-020-09758-2
Abstract: In this paper, a conservative compact finite difference scheme is presented to numerically solve the coupled Schrödinger-KdV equations. The analytic solutions of the coupled equations have some invariants such as the number of plasmons, the… read more here.
Keywords: conservative compact; scheme; difference scheme; compact finite ... See more keywords
Conservative Difference Scheme for Maxwell Equations Describing a Nonstationary Nonlinear Response of Matter in a Semi-Classical Approximation
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DOI: 10.1007/s10598-017-9355-4
Abstract: A conservative difference scheme is constructed for the system of equations that describe, in the semi-classical approximation, resonance and nonresonance interaction of an electromagnetic pulse with matter. The conservativity of the scheme is proved. A… read more here.
Keywords: conservative difference; matter; scheme; difference scheme ... See more keywords
An H2N2 Interpolation for Caputo Derivative with Order in (1, 2) and Its Application to Time-Fractional Wave Equations in More Than One Space Dimension
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DOI: 10.1007/s10915-020-01219-8
Abstract: In this paper, a new derived method is developed for a known numerical differential formula of the Caputo fractional derivative of order $$\gamma \in (1,2)$$ γ ∈ ( 1 , 2 ) (Li and Zeng… read more here.
Keywords: derivative order; order; time; difference scheme ... See more keywords
An optimal 13-point finite difference scheme for a 2D Helmholtz equation with a perfectly matched layer boundary condition
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DOI: 10.1007/s11075-020-00926-5
Abstract: Efficient and accurate numerical schemes for solving the Helmholtz equation are critical to the success of various wave propagation–related inverse problems, for instance, the full-waveform inversion problem. However, the numerical solution to a multi-dimensional Helmholtz… read more here.
Keywords: optimal point; helmholtz equation; point finite; difference scheme ... See more keywords
High-Order Compact Finite Difference Scheme for Pricing Asian Option with Moving Boundary Condition
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DOI: 10.1007/s12591-017-0372-8
Abstract: In this paper, an unconditionally stable compact finite difference scheme for the solution of linear convection–diffusion equation is proposed. In the proposed scheme, second derivative approximations of the unknowns are eliminated with the unknowns itself… read more here.
Keywords: order; scheme; finite difference; difference scheme ... See more keywords
A novel finite difference scheme for Burgers' equation on unbounded domains
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DOI: 10.1016/j.apnum.2016.09.002
Abstract: Abstract This paper studies a finite difference method for one-dimensional nonhomogeneous Burgers' equation on the infinite domain. Two exact nonlinear artificial boundary conditions are applied on two artificial boundaries to limit the original problem onto… read more here.
Keywords: difference scheme; finite difference; novel finite; burgers equation ... See more keywords
Conservative linearly-implicit difference scheme for a class of modified Zakharov systems with high-order space fractional quantum correction
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DOI: 10.1016/j.apnum.2019.07.019
Abstract: Abstract In this paper, numerical methods for the modified Zakharov system with high-order fractional Laplacian and a quantum correction (FMZS) are considered. A conservative linearly-implicit difference scheme for the FMZS is proposed. This scheme is… read more here.
Keywords: order; difference scheme; high order; modified zakharov ... See more keywords
Carreau nanofluid impinging over a stretching cylinder with generalized slip effects: Using finite difference scheme
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DOI: 10.1016/j.rinp.2017.07.036
Abstract: Abstract An analysis has been executed to investigate the generalized slip effects on MHD Carreau nanofluid induced by a linear stretching cylinder in the presence of reactive species. Adequate transformations are used to rehabilitate the… read more here.
Keywords: carreau nanofluid; generalized slip; difference scheme; slip effects ... See more keywords
A fourth-order difference scheme for the fractional nonlinear Schrödinger equation with wave operator
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DOI: 10.1080/00036811.2020.1829600
Abstract: In this paper, an efficient semi-implicit difference scheme for solving the fractional nonlinear Schrodinger equation with wave operator are proposed and analyzed. The semi-implicit scheme involves... read more here.
Keywords: equation wave; scheme; difference scheme; fractional nonlinear ... See more keywords
Conservative difference scheme for fractional Zakharov system and convergence analysis
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DOI: 10.1080/00207160.2020.1823973
Abstract: In this paper, a high-accuracy conservative difference scheme is presented for solving the space fractional Zakharov system, which preserves the original conservative properties. By virtue of the standard energy method and mathematical induction, it is… read more here.
Keywords: conservative difference; zakharov system; scheme; difference scheme ... See more keywords