Application of third-order schemes to improve the convergence of the Hardy Cross method in pipe network analysis

DOI10.1155/2021/6692067zbMath1481.65073OpenAlexW3133730102MaRDI QIDQ2247654

Gökçen Eryılmaz Türkkan, Majid Niazkar

Publication date: 17 November 2021

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/6692067

Mathematics Subject Classification ID

Deterministic network models in operations research (90B10) Numerical computation of solutions to single equations (65H05)

Related Items (1)

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Uses Software

• Matlab
• Excel
• VBA

Cites Work

• Unnamed Item
• Excel
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• A class of Newton's methods with third-order convergence
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• Some variant of Newton's method with third-order convergence.
• Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method
• Some new variants of Newton's method.
• A uniparametric Chebyshev-type method free from second derivatives
• On the Geometry of Halley's Method
• A variant of Newton's method with accelerated third-order convergence

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