Volume 3, Issue 4
An Analogue-Difference Method and Application to Induction Motor Models

Xilan Liu, Jinrong Mu & Wenxia Wang

J. Nonl. Mod. Anal., 3 (2021), pp. 505-521.

Published online: 2022-06

[An open-access article; the PDF is free to any online user.]

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  • Abstract

The paper established a so-called analogue-difference method (ADM) to compute the numerical solutions for boundary value problems of higher-order differential equations, which can be a fundamental method and performs much better than the finite difference method (FDM), even for second-order boundary value problems. Numerical examples and results illustrate the simplicity, efficiency and applicability of the method, which also show that the proposed method has obvious advantages over the methods presented by recent state-of-the-art work for induction motor models.

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65LXX, 34K15

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COPYRIGHT: © Global Science Press

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@Article{JNMA-3-505, author = {Liu , XilanMu , Jinrong and Wang , Wenxia}, title = {An Analogue-Difference Method and Application to Induction Motor Models}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2022}, volume = {3}, number = {4}, pages = {505--521}, abstract = {

The paper established a so-called analogue-difference method (ADM) to compute the numerical solutions for boundary value problems of higher-order differential equations, which can be a fundamental method and performs much better than the finite difference method (FDM), even for second-order boundary value problems. Numerical examples and results illustrate the simplicity, efficiency and applicability of the method, which also show that the proposed method has obvious advantages over the methods presented by recent state-of-the-art work for induction motor models.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2021.505}, url = {http://global-sci.org/intro/article_detail/jnma/20681.html} }
TY - JOUR T1 - An Analogue-Difference Method and Application to Induction Motor Models AU - Liu , Xilan AU - Mu , Jinrong AU - Wang , Wenxia JO - Journal of Nonlinear Modeling and Analysis VL - 4 SP - 505 EP - 521 PY - 2022 DA - 2022/06 SN - 3 DO - http://doi.org/10.12150/jnma.2021.505 UR - https://global-sci.org/intro/article_detail/jnma/20681.html KW - Difference method, Analogue-difference method, Numerical solution. AB -

The paper established a so-called analogue-difference method (ADM) to compute the numerical solutions for boundary value problems of higher-order differential equations, which can be a fundamental method and performs much better than the finite difference method (FDM), even for second-order boundary value problems. Numerical examples and results illustrate the simplicity, efficiency and applicability of the method, which also show that the proposed method has obvious advantages over the methods presented by recent state-of-the-art work for induction motor models.

Liu , XilanMu , Jinrong and Wang , Wenxia. (2022). An Analogue-Difference Method and Application to Induction Motor Models. Journal of Nonlinear Modeling and Analysis. 3 (4). 505-521. doi:10.12150/jnma.2021.505
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