| 分数阶电报方程的近似解析解与数值解 |
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| 引用本文： | 康玉,张晓丹.分数阶电报方程的近似解析解与数值解[J].北京工商大学学报(自然科学版),2008,26(6). |
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| 作者姓名： | 康玉 张晓丹 |
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| 作者单位： | 北京科技大学,应用科学学院,北京,100083 |
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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.
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| 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 |
NUMERICAL SOLUTION AND APPROXIMATE ANALYTIC SOLUTION FOR TIME FRACTIONAL TELEGRAPH EQUATION |
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| KANG Yu,ZHANG Xiao-dan.NUMERICAL SOLUTION AND APPROXIMATE ANALYTIC SOLUTION FOR TIME FRACTIONAL TELEGRAPH EQUATION[J].Journal of Beijing Technology and Business University:Natural Science Edition,2008,26(6). |
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| Authors: | KANG Yu ZHANG Xiao-dan |
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| Abstract: | 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. |
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| Keywords: | fractional telegraph equation fractional-order derivative implicit difference scheme Adomian method |
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