The variational iteration method for analytic treatment for linear and nonlinear ODEs |
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Authors: | Abdul-Majid Wazwaz |
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Institution: | Department of Mathematics, Saint Xavier University, Chicago, IL 60655, United States |
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Abstract: | In this work, the variational iteration method (VIM) is used for analytic treatment of the linear and nonlinear ordinary differential equations, homogeneous or inhomogeneous. The method is capable of reducing the size of calculations and handles both linear and nonlinear equations, homogeneous or inhomogeneous, in a direct manner. However, for concrete problems, a huge number of iterations are needed for a reasonable level of accuracy. |
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Keywords: | Variational iteration method Lane-Emden equation Emden-Fowler equation Riccati equation |
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