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

Mehriban Imanova Natiq, Mehriban Imanova, Vagif Ibrahimov

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.

Keywords


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

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DOI: http://dx.doi.org/10.18187/pjsor.v8i2.294

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Title

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

Keywords

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

Description

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.

Date

2012-03-28

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol 8. No. 2, 2012



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810