Nonpolynomial spline functions and Quasilinearization to

Abstract

In this work, we want to use the nonpolynomial spline basis and Quasilinearization 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 nonpolynomial spline

functions and collocation method the solution of the integral equation can be approximated. Analysis of

convergence are investigated. At the end, some numerical examples are presented to show the e
ectiveness

of the method.