Abstract
We prove convergence of the Adomian decomposition method for an abstract initial-value problem using the method of majorants from the Cauchy-Kowalevskaya theorem for differential equations with analytic vector fields. Convergence rates of the Adomian method are investigated in the context of the nonlinear Schrödinger equation.
| Original language | English |
|---|---|
| Pages (from-to) | 749-766 |
| Number of pages | 18 |
| Journal | Numerical Methods for Partial Differential Equations |
| Volume | 27 |
| Issue number | 4 |
| DOIs | |
| State | Published - Jul 2011 |
| Externally published | Yes |
Keywords
- Adomian decomposition method
- Cauchy-Kowalevskaya theorem
- nonlinear Schrödinger equation
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics
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