Application of Taylor Wavelets in Computation of Solution of Delay Differential Equations

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Abstract

In this paper, Taylor Wavelets Technique (TWT) is applied to solve delay differential equation (DDE). Convergence and error estimation are defined using TWT and examples were given to support our results in computation of DDE for several different parameters. It is indicated that the suggested method is the suitable one for obtaining solution of a different classes of DDE which have been considered in a strong manner in current areas in several field of science and engineering.
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Application of Taylor Wavelets in Computation of Solution of Delay Differential 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 Application of Taylor Wavelets in Computation of Solution of Delay Differential Equations Kailash Yadav, D Piriadarshani, G. Kavitha, Himanshu Shekhar Himanshu Shekhar This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-2348523/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 In this paper, Taylor Wavelets Technique (TWT) is applied to solve delay differential equation (DDE). Convergence and error estimation are defined using TWT and examples were given to support our results in computation of DDE for several different parameters. It is indicated that the suggested method is the suitable one for obtaining solution of a different classes of DDE which have been considered in a strong manner in current areas in several field of science and engineering. Delay differential equations Taylor wavelets Convergence Analysis Collocation point Grid point 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. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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