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二维和三维的时间分数阶电报方程的解析解 被引量：8

Analytical solutions of the time-fractional telegraph equation in two and three dimensions
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摘要 提出分离变量法解决二维、三维的时间分数阶电报方程问题,利用该方法得到二维、三维的时间分数阶电报方程满足非齐次Dirichlet边界条件下的解析解。 A method of separating variables is effectively implemented for solving a time-fractional telegraph equation （TFTE） in two and three dimensions. The analytical solutions of the TFTE in two and three dimensions with nonhomo- geneous Dirichlet boundary conditions are obtained.
作者 王学彬 刘发旺
机构地区 武夷学院数学与计算机系 昆士兰科技大学数学科学学院
出处 《山东大学学报（理学版）》 CAS CSCD 北大核心 2012年第8期114-121,共8页 Journal of Shandong University(Natural Science)
基金 福建省科技重点项目(2011Y0049) 福建省教育厅A类项目(JA09242) 武夷学院青年教师专项科研基金(xq201022)
关键词 DIRICHLET边界条件 分离变量法 分数阶电报方程 Dirichlet boundary conditions method of separating variables fractional telegraph equation
分类号 O175.5 [理学—基础数学]
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参考文献10

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二级参考文献10

  • 1张淑琴.有限区间上的分数阶扩散波方程的解[J].西北师范大学学报（自然科学版）,2005,41(2):10-13. 被引量：6
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  • 10段俊生,徐明瑜.有限区间上的分数阶扩散-波方程定解问题与Laplace变换[J].高校应用数学学报（A辑）,2004,19(2):165-171. 被引量：9

共引文献6

同被引文献74

引证文献8

二级引证文献19

山东大学学报（理学版）
2012年 第8期

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