Usta, Fuat2021-12-012021-12-0120212238-36031807-0302https://doi.org/10.1007/s40314-021-01555-xhttps://hdl.handle.net/20.500.12684/10102We propose a numerical scheme based upon the Bernstein approximation method for computational solution of a new class of Volterra integral equations of the third kind (3rdVIEs). Construction of the technique and its practicality for proposed equations have been introduced. Furthermore we have examined the numerability and convergence analysis of the proposed scheme. Finally, we demonstrate a series of numerical examples demonstrating the effectiveness of this new technique for solving 3rdVIEs.en10.1007/s40314-021-01555-xinfo:eu-repo/semantics/closedAccessBernstein approximationVolterra integral equations of the third kindConvergence orderCollocation MethodsArticle4052-s2.0-85107772325WOS:000660553100001Q2Q1