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    Electronic Resource
    Electronic Resource
    A Simple Approach of Enlarging Convergence Regions of Perturbation Approximations (1999)
    Springer
    Nonlinear dynamics 19 (1999), S. 93-111 
    Details
    ISSN: 1573-269X
    Keywords: homotopy analysis method ; enlarging convergence region ; general Taylor theorem ; Van der Pol equation ; Riccati equation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, a simple approach to enlarging convergence regions of perturbation approximations is proposed. Based on the so-called general Taylor theorems, this approach has a solid mathematical foundation. Moreover, it is rather simple to apply. Two nonlinear equations, the Riccati equation and the Van der Pol equation are used as examples to illustrate the validity and the great potential of this approach.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008373627897
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