{"title":"非线性四阶拟线性椭圆方程的快速收敛性","authors":"Zhzo Xue","doi":"10.1109/ICACTE.2010.5579651","DOIUrl":null,"url":null,"abstract":"Combining with variational method and lower and upper solutions, we get a quasilinearization method which construct an iterative scheme converging to a solution of a nonlinear fourth-order problem involving the p -Laplacian. At the same time, the result of K -th order convergence for the nonlinear fourth-order problem is obtained via the idea of Taylors approximation.","PeriodicalId":255806,"journal":{"name":"2010 3rd International Conference on Advanced Computer Theory and Engineering(ICACTE)","volume":"36 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Rapid convergence for nonlinear fourth-order quasilinear elliptic equations\",\"authors\":\"Zhzo Xue\",\"doi\":\"10.1109/ICACTE.2010.5579651\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Combining with variational method and lower and upper solutions, we get a quasilinearization method which construct an iterative scheme converging to a solution of a nonlinear fourth-order problem involving the p -Laplacian. At the same time, the result of K -th order convergence for the nonlinear fourth-order problem is obtained via the idea of Taylors approximation.\",\"PeriodicalId\":255806,\"journal\":{\"name\":\"2010 3rd International Conference on Advanced Computer Theory and Engineering(ICACTE)\",\"volume\":\"36 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-09-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 3rd International Conference on Advanced Computer Theory and Engineering(ICACTE)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICACTE.2010.5579651\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 3rd International Conference on Advanced Computer Theory and Engineering(ICACTE)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICACTE.2010.5579651","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Rapid convergence for nonlinear fourth-order quasilinear elliptic equations
Combining with variational method and lower and upper solutions, we get a quasilinearization method which construct an iterative scheme converging to a solution of a nonlinear fourth-order problem involving the p -Laplacian. At the same time, the result of K -th order convergence for the nonlinear fourth-order problem is obtained via the idea of Taylors approximation.
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