A three operator split-step method covering a larger set of non-linear partial differential equations

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• 作者：Haider Zia ^{haider.zia@mpsd.mpg.de}
• 关键词：Split-step Fourier method ; Numerical simulation ; Non-linear PDE ; Derivative non-linear Schr&ouml ; dinger equation
• 刊名：Communications in Nonlinear Science and Numerical Simulation
• 出版年：2017
• 出版时间：June 2017
• 年：2017
• 卷：47
• 期：Complete
• 页码：277-291
• 全文大小：734 K
• 卷排序：47

文摘

New numerical method for a larger class of nonlinear PDEs, e.g. derivative NLSE. New operator acts on combined domains. Linear operator extended to case with series mixed derivatives. 3rd order accuracy. More accurate, efficient than Runge Kutta/difference methods. Produced accurate simulation-experiment match for non-linear propagation of light. Formulism, method of proof developed to extend spectral split-step methods.