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The GDTM-Padé technique for the nonlinear lattice equations. (English) Zbl 1242.65278

Summary: 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.

MSC:

65Q10 Numerical methods for difference equations
39A10 Additive difference equations
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