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The Approximate Solutions for Stiff Systems of Ordinary Differential Equations by Using Homotopy Analysis Method and Variational Iteration Method |
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PP: 789-800 |
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doi:10.18576/amis/160513
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Author(s) |
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Waleed Al-Hayani,
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Abstract |
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| In this study, the homotopy analysis method and the variational iteration method are used to find the approximate solutions for systems of initial value problems for ordinary differential equations for both linear and non-linear problems, by using size of a step with a sequence of subintervals. These methods are shown to work for a variety of systems with approximate-exact solutions. The illustrated numerical results demonstrate that the convergence of the approximate solutions with the exact solutions. The results achieved in the aforementioned systems demonstrate the method’s consistency and efficiency.
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