Abstract
In this paper, we apply the Adomian decomposition method and Padé-approximate to solving the differential-difference equations (DDEs) for the first time. A simple but typical example is used to illustrate the validity and the great potential of the Adomian decomposition method (ADM) in solving DDEs. Comparisons are made between the results of the proposed method and exact solutions. The results show that ADM is an attractive method in solving the differential-difference equations.
| Original language | English |
|---|---|
| Pages (from-to) | 1371-1378 |
| Number of pages | 8 |
| Journal | Applied Mathematics and Computation |
| Volume | 218 |
| Issue number | 4 |
| DOIs | |
| State | Published - 15 Oct 2011 |
| Externally published | Yes |
Keywords
- Adomian decomposition method
- Differential-difference equation
- Discrete mKdV equation
- Padé-ADM approximation
- Volterra equation
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