Abstract | ||
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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 |
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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 |