New equivalent resistance formula of $$m\times n$$ rectangular resistor network represented by Chebyshev polynomials-Reference-Cited by-同舟云学术

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New equivalent resistance formula of $$m\times n$$ rectangular resistor network represented by Chebyshev polynomials

Published:2024-11-27 Issue:1 Volume:14 Page:
ISSN:2045-2322
Container-title:Scientific Reports
language:en
Short-container-title:Sci Rep

Author:

Wang Ru,Jiang Xiaoyu,Zheng Yanpeng,Jiang Zhaolin,Xiang Deliang

Funder

Department of Education of Shandong Province

National Natural Science Foundation of China,China

Natural Science Foundation of Shandong Province

Publisher

Springer Science and Business Media LLC

Link

https://www.nature.com/articles/s41598-024-80899-w.pdf

Reference68 articles.

1. Tan, Z.-Z., Zhou, L. & Yang, J.-H. The equivalent resistance of a $$3\times n$$ cobweb network and its conjecture of an $$m \times n$$ cobweb network. J. Phys. A: Math. Theor. 46(19), 195202 (2013).

2. Tan, Z.-Z. Recursion-transform method to a non-regular $$m\times n$$ cobweb with an arbitrary longitude. Sci. Rep. 5, 11266 (2015).

3. Tan, Z.-Z., Essam, J. W. & Wu, F. Y. Two-point resistance of a resistor network embedded on a globe. Phys. Rev. E. 90(1), 012130 (2014).

4. Essam, J. W., Tan, Z.-Z. & Wu, F. Y. Resistance between two nodes in general position on an $$m\times n$$ fan network. Phys. Rev. E. 90(3), 032130 (2014).

5. Tan, Z.-Z. & Fang, J.-H. Two-point resistance of a cobweb network with a $$2r$$ boundary. Commun. Theor. Phys. 63(1), 36–44 (2015).

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