| 时间分数阶时滞抛物方程的数值解法 |
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| 引用本文： | 张艳敏. 时间分数阶时滞抛物方程的数值解法[J]. 贵州师范大学学报(自然科学版), 2014, 0(3): 55-57 |
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| 作者姓名： | 张艳敏 |
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| 作者单位： | 青岛理工大学琴岛学院; |
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| 基金项目： | 国家自然科学基金资助项目(11271101) |
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| 摘 要： | 给出了求解时间分数阶时滞抛物方程的一种数值解法,就是将传统的时滞抛物型方程中对时间的一阶导数利用α(0α1)阶导数来代替,证明了差分格式是无条件收敛和稳定的,利用数值算例验证该方法是有效的。
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| 关 键 词： | 时间分数阶 时滞抛物方程 无条件收敛 无条件稳定 |
A numerical method for solving time fractional delay parabolic equation |
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| ZHANG Yanmin. A numerical method for solving time fractional delay parabolic equation[J]. Journal of Guizhou Normal University(Natural Sciences), 2014, 0(3): 55-57 |
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| Authors: | ZHANG Yanmin |
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| Affiliation: | ZHANG Yanmin;Qindao College Qingdao Technological University; |
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| Abstract: | A numerical method was presented to solve the time fractional delay parabolic equation which the first order derivative was replaced by a fractional derivative of orderα（ 0〈 α 〈 1）,and proved the difference scheme was unconditional stable and convergence. A numerical example demonstrated the numerical method was a practical method. |
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| Keywords: | Time fractional Delay parabolic equation Unconditional convergence Unconditional stable |
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