Adomian Decomposition Method and Padé Approximants for Nonlinear Differential-Difference Equations

Liu Yan-Ming, Chen Yong
2009 Communications in Theoretical Physics  
Combining Adomian decomposition method (ADM) with Padé approximants, we solve two differentialdifference 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-Padé technique are compared with those obtained by using ADM alone. The numerical results demonstrate that ADM-Padé technique give the approximate solution with faster convergence rate and higher accuracy and relative in larger domain of convergence than using ADM.
doi:10.1088/0253-6102/51/4/02 fatcat:kr646vy7v5a6jlhdkapa24tx34