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Convergence of Iterative Methods Applied to Generalized Fisher Equation

机译:迭代算法在广义Fisher方程中的收敛性

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A generalized Fisher's equation is solved by using the modified Adomian decomposition method (MADM), variational iteration method (VIM), homotopy analysis method (HAM), and modified homotopy perturbation method (MHPM). The approximation solution of this equation is calculated in the form of series whose components are computed easily. The existence, uniqueness, and convergence of the proposed methods are proved. Numerical example is studied to demonstrate the accuracy of the present methods.
机译:通过使用改进的Adomian分解方法(MADM),变分迭代方法(VIM),同伦分析方法(HAM)和改进的同伦摄动方法(MHPM)求解广义Fisher方程。该方程式的近似解以级数形式进行计算,其成分易于计算。证明了所提方法的存在性,唯一性和收敛性。数值算例表明了该方法的准确性。

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