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  • 标题:Comparison of Analytical and Numerical Solutions of Fractional-Order Bloch Equations using Reliable Methods
  • 本地全文:下载
  • 作者:Sekson Sirisubtawee
  • 期刊名称:Lecture Notes in Engineering and Computer Science
  • 印刷版ISSN:2078-0958
  • 电子版ISSN:2078-0966
  • 出版年度:2018
  • 卷号:2233&2234
  • 页码:467-472
  • 出版社:Newswood and International Association of Engineers
  • 摘要:In this paper, we solve Caputo fractional-order Bloch equations. The Bloch equations are a model for nuclear magnetic resonance (NMR), which is a physical phenomenon arising in engineering, medicine, and the physical sciences. A revised variational iteration method and an Adams-BashforthMoulton type predictor-corrector scheme are used to obtain analytical solutions and numerical solutions, respectively, for the fractional-order equations. We compare the analytical and numerical solutions for selected fractional orders.
  • 关键词:Revised variational iteration method; AdamsBashforth-Moulton; type predictor-corrector method; Caputo; fractional-order Bloch equations.
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