Convergence of the homotopy analysis method

作者: Mustafa Turkyilmazoglu

DOI:

关键词: Homotopy analysis methodPartial differential equationMathematical analysisn-connectedNonlinear systemMathematicsSeries (mathematics)Convergence (routing)HomotopyAdomian decomposition method

摘要: The homotopy analysis method is studied in the present paper. question of convergence resolved. It proven that under a special constraint does converge to exact solution sought nonlinear ordinary or partial differential equations. An optimal value control parameter given through square residual error. error estimate also provided. Examples, including Blasius flow, clearly demonstrate why and on what interval corresponding series generated by will solution.

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