论文标题

非线性Schrodinger方程的量子溶液

Quantum solutions of a nonlinear Schrodinger equation

论文作者

Arfaoui, Sabrine

论文摘要

在本文中,我们精确地对PDE的数值溶液进行了Q-Calculus方法。考虑了非线性Schrodinger方程。我们根据Q-钙库考虑子域而不是经典的离散方法,并由于参数q的特定值提供了近似解决方案。错误估计表明,Q-Calculus可能会为PDE产生有效的数值解。

In the present paper, we precisely conduct a q-calculus method for the numerical solutions of PDEs. A nonlinear Schrodinger equation is considered. Instead of the classical discretization methods we consider subdomains according to q-calculus, and provide an approximate solution due to a specific value of the parameter q. Error estimates show that q-calculus may produce efficient numerical solutions for PDEs.

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