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Padé approximants and Adomian decomposition method for solving the Flierl-Petviashivili equation and its variants. (English) Zbl 1107.65061
Summary: We present a reliable combination of Adomian decomposition algorithm and Padé approximants to investigate the Flierl-Petviashivili (FP) equation and its variants. The approach introduces an alternative framework designed to overcome the difficulty of the singular point at $x = 0$. We also investigate two generalized variants of the FP equation. The proposed framework reveals quite a number of remarkable features of the combination of the two algorithms.

65L05Initial value problems for ODE (numerical methods)
34A34Nonlinear ODE and systems, general
Full Text: DOI
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