The Bezier curves method is applied to solve both linear and nonlinear BVPs for fourth-order integrodifferential equations. Also, the presented method is developed for solving BVPs which arise from the problems in calculus of variation. These BVPs result from the Euler-Lagrange equations which are the necessary conditions of the extremums of problems in calculus of variation. Some numerical examples demonstrate the validity and applicability of the technique.
"Bezier Curves Method for Fourth-Order Integrodifferential Equations." Abstr. Appl. Anal. 2013 (SI12) 1 - 5, 2013. https://doi.org/10.1155/2013/672058