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The GDTM‐Padé Technique for the Nonlinear Lattice Equations

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  • Junfeng Lu

Abstract

The GDTM‐Padé technique is a combination of the generalized differential transform method and the Padé approximation. We apply this technique to solve the two nonlinear lattice equations, which results in the high accuracy of the GDTM‐Padé solutions. Numerical results are presented to show its efficiency by comparing the GDTM‐Padé solutions, the solutions obtained by the generalized differential transform method, and the exact solutions.

Suggested Citation

  • Junfeng Lu, 2012. "The GDTM‐Padé Technique for the Nonlinear Lattice Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:863583
    DOI: 10.1155/2012/863583
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    References listed on IDEAS

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    1. He, Ji-Huan & Wu, Xu-Hong, 2006. "Exp-function method for nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 700-708.
    2. Dai, Chaoqing & Zhang, Jiefang, 2006. "Jacobian elliptic function method for nonlinear differential-difference equations," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 1042-1047.
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