Numerical Applications and Padé Approximants
Abstract
In this chapter we will apply the Adomian decomposition method to handle linear and nonlinear differential equations numerically. Because the decomposition method provides a rapidly convergent series and faster than existing numerical techniques, it is therefore considered an efficient, reliable and easy to use from a computational viewpoint. It is to be noted that few terms are usually needed to supply a reliable result much closer to the exact value. The overall error can be significantly decreased by computing additional terms of the decomposition series.
Fields of Study & Subjects
Fractional Differential Equations Solutions
Mathematical and Computational Methods
Numerical methods for differential equations
Publication details
- Journal / source
- CRC Press eBooks
- Pages
- 355–385
- Publication date
- 19 January 2026
- Language
- EN
- Document type
- Book chapter