{"title":"n阶模糊微分方程的分段逼近方法","authors":"E. Ahmady","doi":"10.5899/2015/JFSVA-00245","DOIUrl":null,"url":null,"abstract":"In this paper a numerical method for solving n-order fuzzy differential equations is considered. This method which called piecewise approximation method, is obtained by interpolating a polynomial on fuzzy determined values. The proposed method is compared to Allahviranloo's method in [6], and it is shown that this method in more accurate than Allahviranloo's method. The piecewise approximation method is illustrated by a comparative example.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"32 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Piecewise Approximation Method for Nth-order Fuzzy Differential Equations\",\"authors\":\"E. Ahmady\",\"doi\":\"10.5899/2015/JFSVA-00245\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper a numerical method for solving n-order fuzzy differential equations is considered. This method which called piecewise approximation method, is obtained by interpolating a polynomial on fuzzy determined values. The proposed method is compared to Allahviranloo's method in [6], and it is shown that this method in more accurate than Allahviranloo's method. The piecewise approximation method is illustrated by a comparative example.\",\"PeriodicalId\":308518,\"journal\":{\"name\":\"Journal of Fuzzy Set Valued Analysis\",\"volume\":\"32 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Fuzzy Set Valued Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5899/2015/JFSVA-00245\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Fuzzy Set Valued Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5899/2015/JFSVA-00245","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Piecewise Approximation Method for Nth-order Fuzzy Differential Equations
In this paper a numerical method for solving n-order fuzzy differential equations is considered. This method which called piecewise approximation method, is obtained by interpolating a polynomial on fuzzy determined values. The proposed method is compared to Allahviranloo's method in [6], and it is shown that this method in more accurate than Allahviranloo's method. The piecewise approximation method is illustrated by a comparative example.
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