{"title":"Adomian分解方法在一类层流边界层问题中的应用","authors":"Hongjun Li, B. Cheng, Wei-min Kang","doi":"10.1109/ICCASE.2011.5997687","DOIUrl":null,"url":null,"abstract":"This paper provides a mathematical model of laminar boundary layer problem in hydrodynamics. Compared to the Navier-Stokes equation, this boundary layer equation has been tremendously simplified. Yet it remains a second-order nonlinear partial differential equations set with the nonlinear nature of equations retained, which makes it fairly difficult to solve the equation mathematically. This paper acquires the approximate analytical solution of the equation which satisfies boundary conditions by using Adomian Decomposition Method combined with Mathematic software. Thus, it shows that symbolic operations are accessible to the Adomian Decomposition Method.","PeriodicalId":369749,"journal":{"name":"2011 International Conference on Control, Automation and Systems Engineering (CASE)","volume":"31 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Application of Adomian Decomposition Method in Laminar Boundary Layer Problems of a Kind\",\"authors\":\"Hongjun Li, B. Cheng, Wei-min Kang\",\"doi\":\"10.1109/ICCASE.2011.5997687\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper provides a mathematical model of laminar boundary layer problem in hydrodynamics. Compared to the Navier-Stokes equation, this boundary layer equation has been tremendously simplified. Yet it remains a second-order nonlinear partial differential equations set with the nonlinear nature of equations retained, which makes it fairly difficult to solve the equation mathematically. This paper acquires the approximate analytical solution of the equation which satisfies boundary conditions by using Adomian Decomposition Method combined with Mathematic software. Thus, it shows that symbolic operations are accessible to the Adomian Decomposition Method.\",\"PeriodicalId\":369749,\"journal\":{\"name\":\"2011 International Conference on Control, Automation and Systems Engineering (CASE)\",\"volume\":\"31 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-07-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 International Conference on Control, Automation and Systems Engineering (CASE)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCASE.2011.5997687\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 International Conference on Control, Automation and Systems Engineering (CASE)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCASE.2011.5997687","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Application of Adomian Decomposition Method in Laminar Boundary Layer Problems of a Kind
This paper provides a mathematical model of laminar boundary layer problem in hydrodynamics. Compared to the Navier-Stokes equation, this boundary layer equation has been tremendously simplified. Yet it remains a second-order nonlinear partial differential equations set with the nonlinear nature of equations retained, which makes it fairly difficult to solve the equation mathematically. This paper acquires the approximate analytical solution of the equation which satisfies boundary conditions by using Adomian Decomposition Method combined with Mathematic software. Thus, it shows that symbolic operations are accessible to the Adomian Decomposition Method.