Computation of the Schroedinger Equation via the Discrete Derivatives Representation Method: Improvement of Solutions Using Particle Swarm Optimization

A. Zerarka, H. Saidi, N. Khelil
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Abstract

We develop the discrete derivatives representation method(DDR) to find the physical structures of the Schrodinger equation in which the interpolation polynomial of Bernstein has been used. In this paper the particle swarm optimization (PSO for short) has been suggested as a means to improve qualitatively the solutions. This approach is carefully handled and tested with a numerical example.
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用离散导数表示法计算薛定谔方程:用粒子群优化改进解
我们发展了离散导数表示方法(DDR)来寻找使用Bernstein插值多项式的薛定谔方程的物理结构。本文提出了粒子群优化算法(简称PSO)作为一种改进求解质量的方法。这种方法经过了仔细的处理,并通过一个数值例子进行了测试。
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