| 二维分数阶扩散方程交替差分格式及其一致性 |
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| 引用本文： | 池光胜,李慧玲.二维分数阶扩散方程交替差分格式及其一致性[J].陕西理工学院学报(自然科学版),2014(5):64-67. |
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| 作者姓名： | 池光胜 李慧玲 |
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| 作者单位： | 1. 山东凯文科技职业学院基础教学部,山东济南,250200
2. 山东理工大学理学院,山东淄博,255000 |
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| 基金项目： | 山东凯文科技职业学院自然科学基金资助项目 |
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| 摘 要： | 研究二维有限域上的空间分数阶扩散方程的数值解法,通过移位的Grunwald公式对空间分数阶导数进行离散,得到Euler隐式差分格式。利用傅里叶变换理论证明了交替差分格式的一致性。
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| 关 键 词： | 二维分数阶扩散方程 Euler隐式差分格式 一致性 |
Finite difference methods and its consistency for two-dimensional fractional dispersion equation |
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| CHI Guang-sheng,LI Hui-ling.Finite difference methods and its consistency for two-dimensional fractional dispersion equation[J].Journal of Shananxi University of Technology:Natural Science Edition,2014(5):64-67. |
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| Authors: | CHI Guang-sheng LI Hui-ling |
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| Institution: | CHI Guang-sheng , LI Hui-ling ( 1. Department of Basic Courses, Shandong Kaiwen College of Science ＆ Technology, Ji＇ nan 250200, China; 2. Institute of Applied Mathematics, Shandong University of Science ＆ Technology, Zibo 255000, China) |
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| Abstract: | In this paper we discuss the numerical method for two-dimensional fractional dispersion equation which fractional derivative can be approximated by the shifted Grunwald-formula on a finite domain. We get its Euler alternating directions implicit method which consistency can be proved by Fourier transform. |
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| Keywords: | two-dimensional fractional dispersion equation Euler implicit method consistency |
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