{"title":"用离散导数表示法计算薛定谔方程:用粒子群优化改进解","authors":"A. Zerarka, H. Saidi, N. Khelil","doi":"10.1109/ICNC.2009.17","DOIUrl":null,"url":null,"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.","PeriodicalId":235382,"journal":{"name":"2009 Fifth International Conference on Natural Computation","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Computation of the Schroedinger Equation via the Discrete Derivatives Representation Method: Improvement of Solutions Using Particle Swarm Optimization\",\"authors\":\"A. Zerarka, H. Saidi, N. Khelil\",\"doi\":\"10.1109/ICNC.2009.17\",\"DOIUrl\":null,\"url\":null,\"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.\",\"PeriodicalId\":235382,\"journal\":{\"name\":\"2009 Fifth International Conference on Natural Computation\",\"volume\":\"5 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-08-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 Fifth International Conference on Natural Computation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICNC.2009.17\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 Fifth International Conference on Natural Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICNC.2009.17","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Computation of the Schroedinger Equation via the Discrete Derivatives Representation Method: Improvement of Solutions Using Particle Swarm Optimization
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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