{"title":"利用机器学习算法和谱法模拟非线性波动方程","authors":"M. Nurtas, Ydyrys Aizhan, Altaibek Aizhan","doi":"10.1145/3410352.3410778","DOIUrl":null,"url":null,"abstract":"This article is devoted to the description of a nonlinear partial differential equation, known as the Korteweg-de Vries equation (KdV) [1]-[3]. To solve this equation numerically, we used a spectral method using a fast Fourier transform. In conclusion, we compared the numerical solution using the spectral method and the solution using machine learning.","PeriodicalId":178037,"journal":{"name":"Proceedings of the 6th International Conference on Engineering & MIS 2020","volume":"20 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Using of Machine Learning algorithm and Spectral method for simulation of Nonlinear Wave Equation\",\"authors\":\"M. Nurtas, Ydyrys Aizhan, Altaibek Aizhan\",\"doi\":\"10.1145/3410352.3410778\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This article is devoted to the description of a nonlinear partial differential equation, known as the Korteweg-de Vries equation (KdV) [1]-[3]. To solve this equation numerically, we used a spectral method using a fast Fourier transform. In conclusion, we compared the numerical solution using the spectral method and the solution using machine learning.\",\"PeriodicalId\":178037,\"journal\":{\"name\":\"Proceedings of the 6th International Conference on Engineering & MIS 2020\",\"volume\":\"20 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-09-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 6th International Conference on Engineering & MIS 2020\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/3410352.3410778\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 6th International Conference on Engineering & MIS 2020","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3410352.3410778","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Using of Machine Learning algorithm and Spectral method for simulation of Nonlinear Wave Equation
This article is devoted to the description of a nonlinear partial differential equation, known as the Korteweg-de Vries equation (KdV) [1]-[3]. To solve this equation numerically, we used a spectral method using a fast Fourier transform. In conclusion, we compared the numerical solution using the spectral method and the solution using machine learning.
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