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Your search keyword '"Ding, Hengfei"' showing total 1 results
Start Over Author "Ding, Hengfei" Topic riesz derivative Publication Year Range Last 3 years Journal mathematics & computers in simulation Database Academic Search Index

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1 results on '"Ding, Hengfei"'

1. Structure preserving fourth-order difference scheme for the nonlinear spatial fractional Schrödinger equation in two dimensions.

Author

Ding, Hengfei and Tian, Junhong

Subjects
*CRANK-nicolson method, *NUMERICAL analysis, *SCHRODINGER equation, *GENERATING functions
Abstract

In this paper, we focus on develop high-order and structure-preserving numerical algorithm for the two-dimensional nonlinear space fractional Schrödinger equations. By constructing a new generating function, we obtain a fourth-order numerical differential formula and use it to approximate the spatial Riesz derivative, while the Crank–Nicolson method is applied for the time derivative. Based on the energy method, the conservation, solvability and convergence of the numerical algorithm are proved. Finally, some numerical examples are used to verify the correctness of the theoretical analysis and the validity of the numerical algorithm. [ABSTRACT FROM AUTHOR]

Published
2023
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