Discretization method for the numerical solution of 2D Volterra integral equation based on two-dimensional Bernstein polynomial

This paper develops a numerical technique for the solution of 2D Volterra Integral Equations (2DVIEs). The proposed method is based on the discretization of 2DVIEs by using two-dimensional Bernstein’s approximation. Some results are developed regarding convergence analysis which shows that the given...

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Bibliographic Details
Main Authors: Faheem Khan, Muhammad Omar, Zafar Ullah
Format: Article
Language:English
Published: AIP Publishing LLC 2018-12-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.5051113