A Numerical Algorithm for a Kirchhoff-Type Nonlinear Static Beam

Jemal Peradze Faculty of Exact and Natural Sciences, I. Javakhishvili Tbilisi State University, 2 University St., 0143 Tbilisi, Georgia Correspondence should be addressed to Jemal Peradze, j [email protected] Received 5 March 2009; Accepted 22 June 2009 Recommended by James Buchanan A boundary value problem is posed for an integro-differential beam equation. An approximate solution is found using the Galerkin method and the Jacobi nonlinear iteration process. A theorem on the algorithm error is proved. Copyright q 2009 Jemal Peradze. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.