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分数阶电报方程的近似解析解与数值解 被引量：2

NUMERICAL SOLUTION AND APPROXIMATE ANALYTIC SOLUTION FOR TIME FRACTIONAL TELEGRAPH EQUATION
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摘要 研究了分数阶电报方程的近似解析解与数值解.首先用Adomian拆分法讨论了它的近似解析解;其次用差分法求解它的数值解,构造出隐式差分格式;最后给出数值例子,把近似解析解、数值解与精确解进行了比较,显示方法是有效的. We mainly study numerical solution and approximate analytic solution for the time fractional telegraph equation. Firstly, the approximate analytic solution for the equation is discussed by Adomian decomposition method; secondly, the numerical solution for the equation is discussed by difference method, and an implicit difference formula is constructed; finally, numerical example is set up to compare the approximate analytic solution, numerical solution and exact solution, and the method is effective.
作者 康玉 张晓丹
机构地区 北京科技大学应用科学学院
出处 《北京工商大学学报（自然科学版）》 CAS 2008年第6期68-72,共5页 Journal of Beijing Technology and Business University:Natural Science Edition
关键词 分数阶电报方程 分数阶导数 隐式差分格式 Adomian拆分法 fractional telegraph equation fractional-order derivative implicit difference scheme Adomian method
分类号 O241.82 [理学—计算数学]
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共引文献43

同被引文献35

  • 1马亮亮.一种时间分数阶对流扩散方程的隐式差分近似[J].西北民族大学学报（自然科学版）,2013,34(1):7-12. 被引量：5
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  • 3章红梅,刘发旺.时间分数阶电报方程的一种解技巧[J].厦门大学学报（自然科学版）,2007,46(1):10-13. 被引量：8
  • 4蔡红梅,陈静,赖绍永.一类电报方程解的双扰动研究[J].四川师范大学学报（自然科学版）,2007,30(3):313-317. 被引量：3
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引证文献2

北京工商大学学报（自然科学版）
2008年 第6期

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