摘要
Combining Adomian decomposition method （ADM） with Pade approximants, we solve two differentiaidifference equations （DDEs）： the relativistic Toda lattice equation and the modified Volterra lattice equation. With the help of symbolic computation Maple, the results obtained by ADM-Pade technique are compared with those obtained by using ADM alone. The numerical results demonstrate that ADM-Pade technique give the approximate solution with faster convergence rate and higher accuracy and relative in larger domain of convergence than using ADM.
基金
supported by the National Natural Science Foundation of China under Grant No. 10735030
Shanghai Leading Academic Discipline Project under Grant No. B412
Program for Changjiang Scholars and Innovative Research Team in University under Grant No. IRT0734
