Preface: Variational iteration method-Reality, potential, and challenges
Journal of Computational and Applied Mathematics
Variational iteration method-Some recent results and new interpretations
Journal of Computational and Applied Mathematics
Preface: The variational iteration method: Reliable, efficient, and promising
Computers & Mathematics with Applications
Variational iteration method for solving integral equations
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Computers & Mathematics with Applications
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In this paper, variational iteration method (VIM) is applied to the problem of determination of critical buckling loads for Euler columns with constant and variable cross-sections. VIM is a powerful method for the solution of nonlinear ordinary and partial differential equations and integral equations. Hence it is a suitable approach for the analysis of engineering problems where an exact solution is difficult to obtain. This study presents the application of VIM to various buckling cases and results are produced for columns with different support conditions and with different variation of cross-sections. The results obtained are accurate which show that variational iteration method is a very efficient technique in the analysis of elastic stability problems.