Application of the Homotopy-Pade technique in the prediction of optimal convergence-control parameter

作者：Babolian E^*; Jalili M

来源：Computational and Applied Mathematics, 2015, 34(1): 375-388.

DOI：10.1007/s40314-014-0123-1

• Homotopy analysis method
• Homotopy-Pade technique
• Optimal convergence-control parameter value

A major issue in the convergence of an obtained series solution via the homotopy analysis method is the proper choice of the so-called convergence-control parameter . In this paper a new approach based on Homotopy-Pad technique in the prediction of the proper convergence-control parameter values is proposed. This approach seeks to predict an optimal value of convergence-control parameter to get a faster convergent series solution. The numerical results demonstrate the validity, efficiency, and performance of the proposed approach.

• 出版日期2015-4