Bawar Mohammed Faraj, Shnyar Karim Rahman, Deni Adnan Mohammed, Bahadin Muhammad Hussein, Berivan Azad Salam, Khadijah Mohammed
{"title":"AN IMPROVED BRACKETING METHOD FOR NUMERICAL SOLUTION OF NONLINEAR EQUATIONS BASED ON RIDDERS METHOD","authors":"Bawar Mohammed Faraj, Shnyar Karim Rahman, Deni Adnan Mohammed, Bahadin Muhammad Hussein, Berivan Azad Salam, Khadijah Mohammed","doi":"10.26480/msmk.02.2022.30.33","DOIUrl":null,"url":null,"abstract":"In the present study numerical solution for non linear equations have been studied. Ridders methodd have been discussed. An improvement of Ridders method with combination of Bisection and newton Raphson methods have been presented. An algorithm for the proposed method have been stated. Moreover, several examples are included to demonstrate the validity and applicability of the presented technique. Matlab program involved for numerical computations. The proposed method applied for given examples. The error analysis table presents the obtained numerical results. The numerical solutions which found by Matlab program has good results in terms of accuracy.","PeriodicalId":32521,"journal":{"name":"Matrix Science Mathematic","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Matrix Science Mathematic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26480/msmk.02.2022.30.33","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
In the present study numerical solution for non linear equations have been studied. Ridders methodd have been discussed. An improvement of Ridders method with combination of Bisection and newton Raphson methods have been presented. An algorithm for the proposed method have been stated. Moreover, several examples are included to demonstrate the validity and applicability of the presented technique. Matlab program involved for numerical computations. The proposed method applied for given examples. The error analysis table presents the obtained numerical results. The numerical solutions which found by Matlab program has good results in terms of accuracy.