{"title":"求解无粘汉堡方程的解析方法","authors":"Muhammad Amir, M. Awais, Asifa Ashraf, R. Ali","doi":"10.52280/pujm.2023.550102","DOIUrl":null,"url":null,"abstract":"In this paper, we use the natural decomposition method (NDM) for solving\ninviscid Burger equation (BE). The NDM is associated with the Adomain decomposition\nmethod (ADM) and the natural transform method. Applying the analytic method, we\nsolved successfully both lin-ear and non-linear partial differential equations. By applying\nthe NDM, we compute the best approximation solution of linear and non-linear par-tial\ndifferential equations. In our experiments, we report comparisons with the exact solution.","PeriodicalId":205373,"journal":{"name":"Punjab University Journal of Mathematics","volume":"50 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Analytical Method for Solving Inviscid Burger Equation\",\"authors\":\"Muhammad Amir, M. Awais, Asifa Ashraf, R. Ali\",\"doi\":\"10.52280/pujm.2023.550102\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we use the natural decomposition method (NDM) for solving\\ninviscid Burger equation (BE). The NDM is associated with the Adomain decomposition\\nmethod (ADM) and the natural transform method. Applying the analytic method, we\\nsolved successfully both lin-ear and non-linear partial differential equations. By applying\\nthe NDM, we compute the best approximation solution of linear and non-linear par-tial\\ndifferential equations. In our experiments, we report comparisons with the exact solution.\",\"PeriodicalId\":205373,\"journal\":{\"name\":\"Punjab University Journal of Mathematics\",\"volume\":\"50 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-01-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Punjab University Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.52280/pujm.2023.550102\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Punjab University Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.52280/pujm.2023.550102","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Analytical Method for Solving Inviscid Burger Equation
In this paper, we use the natural decomposition method (NDM) for solving
inviscid Burger equation (BE). The NDM is associated with the Adomain decomposition
method (ADM) and the natural transform method. Applying the analytic method, we
solved successfully both lin-ear and non-linear partial differential equations. By applying
the NDM, we compute the best approximation solution of linear and non-linear par-tial
differential equations. In our experiments, we report comparisons with the exact solution.