ON TEE ERROR ESTIMATION IN THE FINITE-DIFFERENCE ENERGY METHOD IN CONTINUUM MECHANICS

Document Type : Original Article

Author

Assoc. Prof., Dept. of Engrg. Mathematics, Faculty of Engrg., University of Alexandria,E/-Hadhrah,Alexandria,Egypt.

Abstract

The system of numerically algebraic equations resulting from FDE method for a class of Variational problems of the fourth order is represent ed by a differential equation with infinite terms. By using the perturbation. method for the solution of this differential equatioa, it has been found that the first order solution is an estimate of error in FDE method. This estimate has been determined for the :comparative study of three difference approximations and Illustrated by a model example.