‎An effective computational approach based on‎ ‎new multi-step collocation method for solving integral-algebraic equations‎

‎An effective computational approach based on‎ ‎new multi-step collocation method for solving integral-algebraic 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 ‎An effective computational approach based on‎ ‎new multi-step collocation method for solving integral-algebraic equations‎ S‎afaa Hussein ‎Kamil, Saeed Pishbin, Parviz Darania This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4378616/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 29 Nov, 2024 Read the published version in Numerical Algorithms → Version 1 posted 7 You are reading this latest preprint version Abstract ‎Some efficient numerical schemes have been used to solve integral algebraic equations (IAEs)‎. ‎In this article‎, ‎in order to find higher order method with an extensive accuracy‎, ‎new multi-step collocation method is developed for the numerical solution of IAEs‎. ‎The convergence of the proposed method is investigated and convergence orders are determined‎. ‎Two examples have been thoroughly examined to validate theoretical advancements in practical application‎. ‎Also‎, ‎we apply one-step and multi-step collocation methods to solve IAEs and compare numerical results to‎ ‎show the efficiency and high accuracy of the proposed method‎. AMS subject classifications: 65R20, 45F15. Integral algebraic equations Semi-explicit form Multi-step col- location method Convergence analysis Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 29 Nov, 2024 Read the published version in Numerical Algorithms → Version 1 posted Editorial decision: Revision requested 14 Aug, 2024 Reviews received at journal 14 Aug, 2024 Reviewers agreed at journal 01 Jul, 2024 Reviewers invited by journal 28 May, 2024 Editor assigned by journal 28 May, 2024 Submission checks completed at journal 28 May, 2024 First submitted to journal 06 May, 2024 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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