Collocation Method for Nonlinear Volterra-Fredholm Integral Equations

DOI: 10.4236/ojapps.2012.22016   PDF   HTML     4,747 Downloads   9,262 Views   Citations

Abstract

A fully discrete version of a piecewise polynomial collocation method based on new collocation points, is constructed to solve nonlinear Volterra-Fredholm integral equations. In this paper, we obtain existence and uniqueness results and analyze the convergence properties of the collocation method when used to approximate smooth solutions of Volterra- Fredholm integral equations.

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J. Shali, P. Darania and A. Akbarfam, "Collocation Method for Nonlinear Volterra-Fredholm Integral Equations," Open Journal of Applied Sciences, Vol. 2 No. 2, 2012, pp. 115-121. doi: 10.4236/ojapps.2012.22016.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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