Abstract
This article is concerned with the development of an efficient numerical algorithm for the solution of a system of generalized nonlinear Emden-Fowler equation. The proposed algorithm is based on the Legendre wavelet operational matrix of integration technique. This method decreases the storage and computational complexity due to its calculation on the subinterval (Formula Presented) of [0; 1]. The main highlight of this method is to converts the system of the differential equation into an equivalent system of nonlinear algebraic equations, which greatly simplifies approximation.
| Original language | English |
|---|---|
| Pages (from-to) | 341-361 |
| Number of pages | 21 |
| Journal | Turkish World Mathematical Society Journal of Applied and Engineering Mathematics |
| Volume | 13 |
| Issue number | 1 |
| Publication status | Published - 2023 |
| Externally published | Yes |
Keywords
- Initial value problem
- Legendre wavelets
- Operational matrix of integration
- System of emden-fowler equation