On efficient iterative schemes for finding all solutions of non-linear engineering problems

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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.
Language:
English
Published:
Journal of Computational Algorithms and Numerical Dimensions, Volume:3 Issue: 3, Summer 2024
Pages:
201 to 207
https://www.magiran.com/p2781892