{"title":"用于求解多孔介质反应-扩散-对流型方程的拉普拉斯-斯巴方法","authors":"Y. A. S. Wellot, Gires Dimitri Nkaya","doi":"10.17654/0975045224009","DOIUrl":null,"url":null,"abstract":"In this article, the Laplace-SBA method is used to solve some nonlinear parabolic problems arising from porous media. This method is based on combination of Laplace transform and the SBA method. After a brief introduction to the Laplace transform, the basic principles of the SBA method are described. The process of employing the Laplace-SBA algorithm to determine the exact solution of a nonlinear equation is explained by considering three examples.","PeriodicalId":511704,"journal":{"name":"International Journal of Numerical Methods and Applications","volume":" 12","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"LAPLACE-SBA METHOD FOR SOLVING REACTION-DIFFUSION-CONVECTION TYPE EQUATIONS FROM POROUS MEDIA\",\"authors\":\"Y. A. S. Wellot, Gires Dimitri Nkaya\",\"doi\":\"10.17654/0975045224009\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, the Laplace-SBA method is used to solve some nonlinear parabolic problems arising from porous media. This method is based on combination of Laplace transform and the SBA method. After a brief introduction to the Laplace transform, the basic principles of the SBA method are described. The process of employing the Laplace-SBA algorithm to determine the exact solution of a nonlinear equation is explained by considering three examples.\",\"PeriodicalId\":511704,\"journal\":{\"name\":\"International Journal of Numerical Methods and Applications\",\"volume\":\" 12\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Numerical Methods and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.17654/0975045224009\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Numerical Methods and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17654/0975045224009","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
LAPLACE-SBA METHOD FOR SOLVING REACTION-DIFFUSION-CONVECTION TYPE EQUATIONS FROM POROUS MEDIA
In this article, the Laplace-SBA method is used to solve some nonlinear parabolic problems arising from porous media. This method is based on combination of Laplace transform and the SBA method. After a brief introduction to the Laplace transform, the basic principles of the SBA method are described. The process of employing the Laplace-SBA algorithm to determine the exact solution of a nonlinear equation is explained by considering three examples.
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