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
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
A conservative difference scheme for the Riesz space-fractional sine-Gordon equation
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DOI: 10.1186/s13662-018-1689-5
Abstract: In this paper, we study a conservative difference scheme for the sine-Gordon equation (SGE) with the Riesz space fractional derivative. We rigorously establish the conservation property and solvability of the difference scheme. We discuss the… read more here.
Keywords: sine gordon; difference; gordon equation; conservative difference ... See more keywords