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一种修正的Laplace-同伦摄动算法

彭博 唐烁

彭博, 唐烁. 一种修正的Laplace-同伦摄动算法[J]. 应用数学和力学, 2015, 36(7): 768-778. doi: 10.3879/j.issn.1000-0887.2015.07.009
引用本文: 彭博, 唐烁. 一种修正的Laplace-同伦摄动算法[J]. 应用数学和力学, 2015, 36(7): 768-778. doi: 10.3879/j.issn.1000-0887.2015.07.009
PENG Bo, TANG Shuo. A Modified Laplace-Homotopy Perturbation Algorithm[J]. Applied Mathematics and Mechanics, 2015, 36(7): 768-778. doi: 10.3879/j.issn.1000-0887.2015.07.009
Citation: PENG Bo, TANG Shuo. A Modified Laplace-Homotopy Perturbation Algorithm[J]. Applied Mathematics and Mechanics, 2015, 36(7): 768-778. doi: 10.3879/j.issn.1000-0887.2015.07.009

一种修正的Laplace-同伦摄动算法

doi: 10.3879/j.issn.1000-0887.2015.07.009
基金项目: 国家自然科学基金(61272024)
详细信息
    作者简介:

    彭博(1989—),男,安徽阜阳人,硕士(通讯作者. E-mail: 1083283508@qq.com);唐烁(1964—),男,安徽巢湖人,教授,硕士生导师.

  • 中图分类号: O189.33

A Modified Laplace-Homotopy Perturbation Algorithm

Funds: The National Natural Science Foundation of China(61272024)
  • 摘要: 在NDLT-HPM(非线性分布Laplace-同伦摄动算法)的基础上,通过引入参数h,提出了一种修正的NDLT-HPM(简称MNDLT-HPM),参数的引入使得求解更加灵活,且能调节和控制级数解的收敛域,克服了NDLT-HPM在嵌入参数p=1处级数解可能不收敛的局限性,使得级数解可以有效地收敛至精确解,从而获得足够精确的解析近似解,两个数值实例表明了该解法的优越性和精确性.
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出版历程
  • 收稿日期:  2014-12-24
  • 修回日期:  2015-03-09
  • 刊出日期:  2015-07-15

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