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Variational iteration method for solving biharmonic equations |
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| Authors: | AHA Ali KR Raslan |
| Institution: | aMathematics Department, Faculty of Science, Menoufia University, Shebein El-Koom, Egypt bDepartment of Mathematics, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt |
| Abstract: | By means of the variational iteration method the numerical solution of biharmonic equations are obtained. Biharmonic equation has significant applications in physics and engineering. There is a difficulty to solve the biharmonic equation due to the existence of fourth order derivatives. For this reason, we use the variational iteration method to solve this equation. Test problems, are used to validate this algorithm which is found to be more accurate and efficient than previous ones. |
| Keywords: | Variational iteration method One- and two-dimensional biharmonic equations Lagrange multiplier |
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