Author(s)

James E. Mamadu^1*, Ignatius N. Njoseh²

¹Department of Mathematics, University of Ilorin, Ilorin, Nigeria.
²Department of Mathematics and Computer Science, Delta State University, Abraka, Nigeria.

This work is aim at providing a numerical technique for the Volterra integral equations using Galerkin method. For this purpose, an effective matrix formulation is proposed to solve linear Volterra integral equations of the first and second kind respectively using orthogonal polynomials as trial functions which are constructed in the interval [-1,1] with respect to the weight function w(x)=1+x². The efficiency of the proposed method is tested on several numerical examples and compared with the analytic solutions available in the literature.

Galerkin Method, Orthogonal Polynomials, Volterra Integral Equations

Mamadu, J. and Njoseh, I. (2016) Numerical Solutions of Volterra Equations Using Galerkin Method with Certain Orthogonal Polynomials. Journal of Applied Mathematics and Physics, 4, 367-382. doi: 10.4236/jamp.2016.42044.