A numerical method for solving Volterra integral equations of the third kind by multistep collocation method
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In this paper a multistep collocation method for solving Volterra integral equations of the third kind is explained and analyzed. The structure of the method, its solvability and convergence analysis are investigated. Moreover to show the applicability of the presented method and to confirm our theoretical results some numerical examples are given.
KeywordsVolterra integral equations of the third kind Collocation method Multistep collocation method
Mathematics Subject Classification45A05 45D05 45E99
- Song H, Yang ZW, Brunner H (2019) Analysis of collocation methods for nonlinear Volterra integral equations of the third-kind. Calcolo 56:7. https://doi.org/10.1007/s10092-019-0304-9