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Application of A Second Derivative Multi-Step Method to Numerical Solution of Volterra Integral Equation of Second Kind

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Author(s): Mehriban Imanova Natiq | Mehriban Imanova | Vagif Ibrahimov

Journal: Pakistan Journal of Statistics and Operation Research
ISSN 1816-2711

Volume: 8;
Issue: 2;
Date: 2012;
Original page

Keywords: Volterra integral equations | Second derivative multistep method | Finite-difference method | Stability of finite- difference methods | Degree of finite-difference method.

ABSTRACT
As is known, many problems of natural science are reduced mainly to the solution of nonlinear Volterra integral equations. The method of quadratures that was first applied by Volterra to solving variable boundary integral equations is popular among numerical methods for the solution of such equations. At present, there are different modifications of the method of quadratures that have bounded accuracies. Here we suggest a second derivative multistep method for constructing more exact methods.
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