Open AccessThe GDTM-Padé Technique for the Nonlinear Lattice Equations
Author(s) -
Junfeng Lu
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/863583
Subject(s) - mathematics , nonlinear system , lattice (music) , mathematical analysis , differential equation , physics , quantum mechanics , acoustics
The GDTM-Padé technique is a combination of the generalized differential transformmethod and the Padé approximation. We apply this technique to solve the two nonlinear latticeequations, which results in the high accuracy of the GDTM-Padé solutions. Numerical results arepresented to show its efficiency by comparing the GDTM-Padé solutions, the solutions obtained bythe generalized differential transform method, and the exact solutions
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