Open Journal of Applied Sciences

Volume 2, Issue 2 (June 2012)

ISSN Print: 2165-3917   ISSN Online: 2165-3925

Google-based Impact Factor: 0.92  Citations  h5-index & Ranking

Collocation Method for Nonlinear Volterra-Fredholm Integral Equations

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DOI: 10.4236/ojapps.2012.22016    5,682 Downloads   10,791 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.

Share and Cite:

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.

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