On efficient iterative schemes for finding all solutions of non-linear engineering problems
Nonlinear equations are important in engineering because they may simulate complicated real-world phenomena such as fluid dynamics, material stress, and electrical circuits, where linear assumptions fail. They allow engineers to more correctly estimate how a system will respond in certain conditions...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
REA Press
2024-09-01
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| Series: | Computational Algorithms and Numerical Dimensions |
| Subjects: | |
| Online Access: | https://www.journal-cand.com/article_203261_9ce68fd458eda518093afa07067df1e4.pdf |
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| Summary: | Nonlinear equations are important in engineering because they may simulate complicated real-world phenomena such as fluid dynamics, material stress, and electrical circuits, where linear assumptions fail. They allow engineers to more correctly estimate how a system will respond in certain conditions. The main aim of this effort is to develop an efficient higher-order simultaneous computer approach capable of computing all solutions concurrently. The convergence theorem analysis indicates that the scheme has a local convergence order of 10. Using a few engineering applications, we show that the order strategy surpasses the current approach in terms of residual error, stability, and consistency. |
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| ISSN: | 2980-7646 2980-9320 |