A Blended Root-Finding Algorithm for Solving Transcendental Equations

A Blended Root-Finding Algorithm for Solving Transcendental Equations | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article A Blended Root-Finding Algorithm for Solving Transcendental Equations Srinivasarao Thota This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-2956091/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract This paper focus on a new blended root-finding algorithm to solve the given transcendental equations. This algorithm is based on the classical methods, namely Newton-Raphson method and trisection method. One of the advantages of the proposed algorithm is not only fast converging but also guarantee the root. The proposed algorithm is easy to understand and one can implement this algorithm in any mathematical software tools. Several numerical examples are presented to illustrate the algorithm and comparisons are made to show the efficiency of the proposed algorithm. 2010 AMS classifications: 65N30 Root-finding algorithms Newton-Raphson method Trisection method Hy- brid algorithms Transcendental equations Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. 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