On efficient iterative schemes for finding all solutions of non-linear engineering problems
Publish Year: 1403
Type: Journal paper
Language: English
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Document National Code:
JR_CAND-3-3_002
Index date: 7 September 2024
On efficient iterative schemes for finding all solutions of non-linear engineering problems 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.
On efficient iterative schemes for finding all solutions of non-linear engineering problems Keywords:
On efficient iterative schemes for finding all solutions of non-linear engineering problems authors
Mudassir Shams
Department of Mathematics and Statistics, Riphah International University I-۱۴, Islamabad ۴۴۰۰۰, Pakistan.
Nasreen Kausar
Department of Mathematics, Faculty of Arts and Science, Yildiz Technical University, Esenler, ۳۴۲۲۰, Istanbul, Turkey.
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