| 解四阶抛物型方程高精度两层显格式 |
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| 引用本文： | 孙雪莉,曲小钢.解四阶抛物型方程高精度两层显格式[J].渭南师范学院学报,2008,23(5):14-15. |
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| 作者姓名： | 孙雪莉 曲小钢 |
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| 作者单位： | 西安建筑科技大学,理学院,西安,710055 |
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| 基金项目： | 陕西省教育厅资助项目，西安建筑科技大学校科研和教改项目 |
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| 摘 要： | 给出了一个求解四阶抛物型方程高精度两层显式差分格式，证明了其截断误差为O（τ^2＋h^8），稳定性条件为r=τ/h^4≤264/3601.
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| 关 键 词： | 四阶抛物型方程 两层显格式 截断误差 稳定性分析 |
A Two-Level Explicit Finite Difference Scheme of High Accuracy for Solving Four Order Parabolic Equations |
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| SUN Xue-li,Qu Xiao-gang.A Two-Level Explicit Finite Difference Scheme of High Accuracy for Solving Four Order Parabolic Equations[J].Journal of Weinan Teachers College,2008,23(5):14-15. |
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| Authors: | SUN Xue-li Qu Xiao-gang |
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| Institution: | ( School of Science, Xi＇ an University of Architecture and Technology, Xi ＇ an 710055, China ) |
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| Abstract: | A two-level explicit finite difference scheme of high accuracy for solving four order parabolic equations is presented, the stability condition of the presented scheme isr=τ/h^4≤264/3601 and the truncation order is O（τ^2＋h^8）. |
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| Keywords: | four order parabolic equations two - level explicit difference schemes truncation order stability analysis |
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