Filomat 2018 Volume 32, Issue 11, Pages: 3947-3956
https://doi.org/10.2298/FIL1811947M
Full text ( 264 KB)
Cited by
Non-polynomial spline functions and Quasi-linearization to approximate nonlinear Volterra integral equation
Maleknejad Kh.
Rashidinia J.
Jalilian H.
In this work, we want to use the Non-polynomial spline basis and
Quasi-linearization method to solve the nonlinear Volterra integral
equation. When the iterations of the Quasilinear technique employed in
nonlinear integral equation we obtain a linear integral equation then by
using the Non-polynomial spline functions and collocation method the
solution of the integral equation can be approximated. Analysis of
convergence is investigated. At the end, some numerical examples are
presented to show the effectiveness of the method.
Keywords: non-polynomial spline function(NPS), Volterra integral equation