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Shahsavaran, A. (2011) Numerical Approach to Solve Second Kind Volterra Integral Equations of Abel Type Using Block-Pulse Functions and Taylor Expansion by Collocation Method. Applied Mathematical Sciences, 5, 685-696.

has been cited by the following article:

• TITLE: Numerical Solutions of Volterra Equations Using Galerkin Method with Certain Orthogonal Polynomials

  AUTHORS: James E. Mamadu, Ignatius N. Njoseh

  KEYWORDS: Galerkin Method, Orthogonal Polynomials, Volterra Integral Equations

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.4 No.2, February 26, 2016

  ABSTRACT: 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.