Multi-point boundary value problem for optimal bridge design

Abstract

Based upon He's homotopy perturbation and variational iteration methods, we present a method for approximate solutions of nonlinear second-order multi-point boundary value problems (BVPs) in bridge design. Two numerical experiments are carried out to demonstrate the efficiency of the present method. The results reveal that the proposed method is very effective for second-order multi-point BVPs in bridge design.

Keywords:

• nonlinear
• multi-point boundary value problem
• bridge design
• homotopy perturbation
• variational iteration method

2000 AMS Subject Classifications::

• 34B10
• 34B15
• 34B60
• 65L10
• 41A10

Acknowledgements

The authors would like to express their thanks to unknown referees for their careful reading and helpful comments.