{"title":"求解非线性方程的修正自由导数开放法","authors":"U. K. Qureshi, A. A. Shaikh, M. A. Solangi","doi":"10.26692/SURJ/2017.12.65","DOIUrl":null,"url":null,"abstract":"In this paper a free derivative open method has been developed to find the root of nonlinear equations. Throughout the study it has been observed that developed algorithm is superior to all existing root location methods in term of iteration as well as accuracy viewpoint. Couple of numerical examples related with algebraic and transcendental functions are existing in this paper to analysis the order of efficiency of develop method. C++ and EXCELL are used to justify the results and graphical representation of proposed method. It has been observed from the results and comparison of proposed method is that the Modified Free Derivative Open Method is better than existing root location methods.","PeriodicalId":21859,"journal":{"name":"Sindh University Research Journal","volume":"5 1","pages":"821-824"},"PeriodicalIF":0.0000,"publicationDate":"2017-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Modified Free Derivative Open Method for Solving Non-Linear Equations\",\"authors\":\"U. K. Qureshi, A. A. Shaikh, M. A. Solangi\",\"doi\":\"10.26692/SURJ/2017.12.65\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper a free derivative open method has been developed to find the root of nonlinear equations. Throughout the study it has been observed that developed algorithm is superior to all existing root location methods in term of iteration as well as accuracy viewpoint. Couple of numerical examples related with algebraic and transcendental functions are existing in this paper to analysis the order of efficiency of develop method. C++ and EXCELL are used to justify the results and graphical representation of proposed method. It has been observed from the results and comparison of proposed method is that the Modified Free Derivative Open Method is better than existing root location methods.\",\"PeriodicalId\":21859,\"journal\":{\"name\":\"Sindh University Research Journal\",\"volume\":\"5 1\",\"pages\":\"821-824\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-12-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Sindh University Research Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.26692/SURJ/2017.12.65\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Sindh University Research Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26692/SURJ/2017.12.65","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Modified Free Derivative Open Method for Solving Non-Linear Equations
In this paper a free derivative open method has been developed to find the root of nonlinear equations. Throughout the study it has been observed that developed algorithm is superior to all existing root location methods in term of iteration as well as accuracy viewpoint. Couple of numerical examples related with algebraic and transcendental functions are existing in this paper to analysis the order of efficiency of develop method. C++ and EXCELL are used to justify the results and graphical representation of proposed method. It has been observed from the results and comparison of proposed method is that the Modified Free Derivative Open Method is better than existing root location methods.