COLLOCATION METHOD FOR FREDHOLM-VOLTERRA INTEGRAL EQUATIONS WITH WEAKLY KERNELS

Fayazzadeh, Sara; Lotfi, Marjan

Manuscript ID : 521658 Visit : 45 Page: 59 - 68

20.1001.1.22286225.2011.1.1.7.4

Article Type: Original Research

COLLOCATION METHOD FOR FREDHOLM-VOLTERRA INTEGRAL EQUATIONS WITH WEAKLY KERNELS

Subject Areas : International Journal of Mathematical Modelling & Computations

Sara Fayazzadeh ¹ , Marjan Lotfi ²

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Received: 2016-04-12 Accepted : 2016-04-12 Published : 2011-12-22

Keywords:

Abstract :

In this paper it is shown that the use of‎ ‎uniform meshes leads to optimal convergence rates provided that‎ ‎the analytical solutions of a particular class of‎ ‎Fredholm-Volterra integral equations (FVIEs) are smooth‎.

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COLLOCATION METHOD FOR FREDHOLM-VOLTERRA INTEGRAL EQUATIONS WITH WEAKLY KERNELS