Title
ADM-Padé technique for the nonlinear lattice equations
Abstract
ADM-Pade technique is a combination of Adomian decomposition method (ADM) and Pade approximants. We solve two nonlinear lattice equations using the technique which gives the approximate solution with higher accuracy and faster convergence rate than using ADM alone. Bell-shaped solitary solution of Belov-Chaltikian (BC) lattice and kink-shaped solitary solution of the nonlinear self-dual network equations (SDNEs) are presented. Comparisons are made between approximate solutions and exact solutions to illustrate the validity and the great potential of the technique.
Year
DOI
Venue
2009
10.1016/j.amc.2009.01.010
Applied Mathematics and Computation
Keywords
Field
DocType
belov–chaltikian lattice,belov-chaltikian lattice,adomian decomposition method,solitary solution,the nonlinear self-dual network equations,padé approximants,padé approximants,convergence rate,exact solution
Exact solutions in general relativity,Mathematical optimization,Nonlinear system,Lattice (order),Padé approximant,Mathematical analysis,Decomposition method (constraint satisfaction),Rate of convergence,Adomian decomposition method,Numerical analysis,Mathematics
Journal
Volume
Issue
ISSN
210
2
Applied Mathematics and Computation
Citations 
PageRank 
References 
6
0.70
6
Authors
3
Name
Order
Citations
PageRank
Pei Yang160.70
Yong Chen260.70
Zhibin Li311523.77