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The Alternating Direction Iterative of Axial Symmetrical and Static Magnetic Field without Charge and Current Distribution

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Advances in Computer Science, Intelligent System and Environment

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 105))

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Abstract

In this paper, the problems of calculating and solution about magnetic fields were studied. An accurate theory model was established which can apply in high-performance numerical calculation. The new calculating method was proposed using Maxwell’s equations in the circumstances of that magnetic field is static, axial symmetric, without charge and current, finite, differentiable and integrable. This calculating method was called alternating iterative method. The expression form was also given on the basis of the calculating method. The magnetic field outside of axis can be expressed as each order derivative and one-dimensional integration of magnetic field which on the symmetric axis. By means of this method, the expression form is progression, which is the best form use for computer to conduct approximate calculation. It is very easy, quickly and accurately to carry out numerical calculation by using this method. The calculation method has important theoretical significance and broad prospect of application.

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Li, Z., Zhou, X., Lin, C., Huang, Y., Chen, Y. (2011). The Alternating Direction Iterative of Axial Symmetrical and Static Magnetic Field without Charge and Current Distribution. In: Jin, D., Lin, S. (eds) Advances in Computer Science, Intelligent System and Environment. Advances in Intelligent and Soft Computing, vol 105. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23756-0_65

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  • DOI: https://doi.org/10.1007/978-3-642-23756-0_65

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23755-3

  • Online ISBN: 978-3-642-23756-0

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