{"title":"Logistic方程的一类新的非标准差分格式","authors":"A. Obayomi, B. Olabode","doi":"10.5251/AJSIR.2013.4.3.277.284","DOIUrl":null,"url":null,"abstract":"This paper proposed a new family of Non-standard finite difference schemes for the Logistic equations. The technique of non-local approximation and renormalization of the denominator function was employed. The new schemes were found to possess desirable stability properties and also preserve all the monotonic properties of the logistic equations.","PeriodicalId":7661,"journal":{"name":"American Journal of Scientific and Industrial Research","volume":"70 1","pages":"277-284"},"PeriodicalIF":0.0000,"publicationDate":"2013-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A New Family of Non-Standard Finite Difference Schemes for the Logistic Equations\",\"authors\":\"A. Obayomi, B. Olabode\",\"doi\":\"10.5251/AJSIR.2013.4.3.277.284\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper proposed a new family of Non-standard finite difference schemes for the Logistic equations. The technique of non-local approximation and renormalization of the denominator function was employed. The new schemes were found to possess desirable stability properties and also preserve all the monotonic properties of the logistic equations.\",\"PeriodicalId\":7661,\"journal\":{\"name\":\"American Journal of Scientific and Industrial Research\",\"volume\":\"70 1\",\"pages\":\"277-284\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"American Journal of Scientific and Industrial Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5251/AJSIR.2013.4.3.277.284\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"American Journal of Scientific and Industrial Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5251/AJSIR.2013.4.3.277.284","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A New Family of Non-Standard Finite Difference Schemes for the Logistic Equations
This paper proposed a new family of Non-standard finite difference schemes for the Logistic equations. The technique of non-local approximation and renormalization of the denominator function was employed. The new schemes were found to possess desirable stability properties and also preserve all the monotonic properties of the logistic equations.