Analytical investigation of beam deformation equation using perturbation, homotopy perturbation, variational iteration and optimal homotopy asymptotic methods
Copyright policy )Analytical investigation of beam deformation equation using perturbation, homotopy perturbation, variational iteration and optimal homotopy asymptotic methods
The beam deformation equation has very wide applications in structural engineering. As a differential equation, it has its own problem concerning existence, uniqueness and methods of solutions. Often, original forms of governing differential equations used in engineering problems are simplified, and this process produces noise in the obtained answers. This paper deals with solution of second order of differential equation governing beam deformation using four analytical approximate methods, namely the Homotopy Perturbation Method (HPM), Variational Iteration Method (VIM) and Optimal Homotopy Asymptotic Method (OHAM). The comparisons of the results reveal that these methods are very effective, convenient and quite accurate to systems of non-linear differential equation.
- Aalborg University Denmark
- Islamic Azad University, Tehran Iran (Islamic Republic of)
- University of Technology Russian Federation
- Aalborg University Library (AUB) Denmark
- Amirkabir University of Technology Iran (Islamic Republic of)
perturbation, Beam Deformation Equations, Optimal Homotopy Asymptotic Method (OHAM), Homotopy Perturbation Method (HPM), Beam Deformations, Variational Iteration Method (VIM), differential equation, analytical methods, beam, non-linear, Rods (beams, columns, shafts, arches, rings, etc.)
perturbation, Beam Deformation Equations, Optimal Homotopy Asymptotic Method (OHAM), Homotopy Perturbation Method (HPM), Beam Deformations, Variational Iteration Method (VIM), differential equation, analytical methods, beam, non-linear, Rods (beams, columns, shafts, arches, rings, etc.)
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