The Use of Variational Iteration Method and Homotopy Perturbation Method for Painleve Equation I

In this study, Variational Iteration Method (VIM) and Homotopy Perturbation Method (HPM) are employed to approximate solutions of Ppainleve equation I, with it's initial conditions. VIM based on La- grangian multipliers and HPM based on an embedding parameter. Both of these methods have been introduced by He(11-17) to solve approxi- mately differential equations. In this paper we construct approximate polynomials to find approximate solutions of Painleve equation I. Nu- merical comparsions are made between VIM and HPM and maple nu- merical results.

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