{"title":"变分同伦摄动法求解广义Fisher方程的一种有效算法","authors":"D. Ziane, K. Belghaba, M. Cherif","doi":"10.12816/0023169","DOIUrl":null,"url":null,"abstract":"In this paper, we apply the variational homotopy perturbation method to resolve the generalized Fisher’s equation. The numerical solutions are obtained as series solutions and compared with the exact solution. The result showed that this algorithm based on the VHPM method is very effective and can be applied to other problems.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"68 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"An Efficient Algorithm for Generalized Fisher's Equation by the Variational Homotopy Perturbation Method\",\"authors\":\"D. Ziane, K. Belghaba, M. Cherif\",\"doi\":\"10.12816/0023169\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we apply the variational homotopy perturbation method to resolve the generalized Fisher’s equation. The numerical solutions are obtained as series solutions and compared with the exact solution. The result showed that this algorithm based on the VHPM method is very effective and can be applied to other problems.\",\"PeriodicalId\":210748,\"journal\":{\"name\":\"International Journal of Open Problems in Computer Science and Mathematics\",\"volume\":\"68 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Open Problems in Computer Science and Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12816/0023169\",\"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 Open Problems in Computer Science and Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12816/0023169","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An Efficient Algorithm for Generalized Fisher's Equation by the Variational Homotopy Perturbation Method
In this paper, we apply the variational homotopy perturbation method to resolve the generalized Fisher’s equation. The numerical solutions are obtained as series solutions and compared with the exact solution. The result showed that this algorithm based on the VHPM method is very effective and can be applied to other problems.
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