Abstract
In this Letter, we apply the homotopy analysis method to solving the differential-difference equations. A simple but typical example is applied to illustrate the validity and the great potential of the generalized homotopy analysis method in solving differential-difference equation. Comparisons are made between the results of the proposed method and exact solutions. The results show that the homotopy analysis method is an attractive method in solving the differential-difference equations.
| Original language | English |
|---|---|
| Pages (from-to) | 77-84 |
| Number of pages | 8 |
| Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
| Volume | 369 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - 10 Sep 2007 |
| Externally published | Yes |
Keywords
- Differential-difference equation
- Homotopy analysis method
- Homotopy-Padé approximation
- Volterra equation
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