Numerical solution of one-dimensional differential equations by weighted residual method using Bernoulli wavelets
This paper presents the method of solving one-dimensional differential equations through the weighted residual technique, employing Bernoulli wavelets as the basis functions. These wavelets serve as the foundation for the calculation of numerical solutions for one-dimensional differential equations....
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
REA Press
2025-03-01
|
| Series: | Computational Algorithms and Numerical Dimensions |
| Subjects: | |
| Online Access: | https://www.journal-cand.com/article_209546_b2d3c900cc03d147b784d1f02cbb366e.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | This paper presents the method of solving one-dimensional differential equations through the weighted residual technique, employing Bernoulli wavelets as the basis functions. These wavelets serve as the foundation for the calculation of numerical solutions for one-dimensional differential equations. The numerical outcomes are contrasted with those from current techniques and the precise solution. A selection of numerical test problems is included to demonstrate the practicality and efficiency of the proposed approach. |
|---|---|
| ISSN: | 2980-7646 2980-9320 |