Abstract
In this paper, we propose an efficient approximate indirect method for solving problems in calculus of variational. First, we introduce orthonormal Boubaker polynomials along with their important properties. These properties are employed to derive a general expansion of their operational matrices of derivation and integration along with a product operational matrix. The operational matrices are then used to approximate the solution. Finally, such approximations are substituted in the functional and necessary optimal condition, which then transform the variational problem under consideration into an algebraic system. Examples illustrate the validity and accuracy of the presented method.
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call