Homotopy Analysis and Padé́ Methods for Solving Two Nonlinear Equations
Abstract
In this paper, we are giving analytic approximate solutions
to nonlinear PDEs using the Homotopy Analysis Method
(HAM) and Homotopy Pad´e Method(HPadéM). The HAM contains
the auxiliary parameter h, which provides us with a simple
way to adjust and control the convergence regions of solution series.
It is illustrated that HPadéM accelerates the convergence of
the related series. The results reveal these methods are remarkably
effective.
to nonlinear PDEs using the Homotopy Analysis Method
(HAM) and Homotopy Pad´e Method(HPadéM). The HAM contains
the auxiliary parameter h, which provides us with a simple
way to adjust and control the convergence regions of solution series.
It is illustrated that HPadéM accelerates the convergence of
the related series. The results reveal these methods are remarkably
effective.
Keywords
Drinfeld-Sokolov system; Drinfeld-
Sokolov-Wilson equation; homotopy analysis method; homotopy
padé method.
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