A conservative difference scheme for two‐dimensional nonlinear Schrödinger equation with wave operator |
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| Authors: | Hanzhang Hu Yanping Chen |
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| Institution: | 1. School of Mathematical Science, South China Normal University, Guangzhou, Guangdong, People's Republic of China;2. School of Mathematics, Jiaying University, Meizhou, Guangdong, P.R. China |
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| Abstract: | A conservative difference scheme is presented for two‐dimensional nonlinear Schrödinger equation with wave operator. The discrete energy method and an useful technique are used to analyze the difference scheme. It is shown, both theoretically and numerically, that the difference solution is conservative, unconditionally stable and convergent with second order in maximum norm. A numerical experiment indicates that the scheme is very effective. © 2015 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 32: 862–876, 2016 |
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| Keywords: | Schrö dinger equation difference scheme conservative convergence stability energy estimate |
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