{"title":"一个专家系统的特征函数展开的解决波，热，和拉普拉斯方程","authors":"S. Kadamani, A. Snider","doi":"10.1109/SECON.1998.673351","DOIUrl":null,"url":null,"abstract":"We describe a new expert system, written in C, for expressing the eigenfunction expansions of solutions to the nonhomogeneous wave, heat and Laplace equations in rectangular, cylindrical, and spherical coordinates with Dirichlet, Neumann, or Robin boundary conditions, in either the time, Laplace or frequency domains. The output of the program is LATEX code expressing the expansion, with elaboration on the eigenvalues and the expressions for the coefficients therein.","PeriodicalId":281991,"journal":{"name":"Proceedings IEEE Southeastcon '98 'Engineering for a New Era'","volume":"11 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1998-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An expert system for eigenfunction expansions of solutions to the wave, heat, and Laplace equations\",\"authors\":\"S. Kadamani, A. Snider\",\"doi\":\"10.1109/SECON.1998.673351\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We describe a new expert system, written in C, for expressing the eigenfunction expansions of solutions to the nonhomogeneous wave, heat and Laplace equations in rectangular, cylindrical, and spherical coordinates with Dirichlet, Neumann, or Robin boundary conditions, in either the time, Laplace or frequency domains. The output of the program is LATEX code expressing the expansion, with elaboration on the eigenvalues and the expressions for the coefficients therein.\",\"PeriodicalId\":281991,\"journal\":{\"name\":\"Proceedings IEEE Southeastcon '98 'Engineering for a New Era'\",\"volume\":\"11 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1998-04-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings IEEE Southeastcon '98 'Engineering for a New Era'\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SECON.1998.673351\",\"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 IEEE Southeastcon '98 'Engineering for a New Era'","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SECON.1998.673351","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An expert system for eigenfunction expansions of solutions to the wave, heat, and Laplace equations
We describe a new expert system, written in C, for expressing the eigenfunction expansions of solutions to the nonhomogeneous wave, heat and Laplace equations in rectangular, cylindrical, and spherical coordinates with Dirichlet, Neumann, or Robin boundary conditions, in either the time, Laplace or frequency domains. The output of the program is LATEX code expressing the expansion, with elaboration on the eigenvalues and the expressions for the coefficients therein.
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