| 求解二维扩散方程的一种恒稳定的半显式高精度差分格式 |
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| 引用本文： | 田巧娴,葛永斌. 求解二维扩散方程的一种恒稳定的半显式高精度差分格式[J]. 山西大学学报(自然科学版), 2009, 32(3) |
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| 作者姓名： | 田巧娴 葛永斌 |
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| 作者单位： | 宁夏大学数学计算机学院,银川,750021 |
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| 摘 要： | 提出了数值求解二维扩散方程的一种半显式高精度差分格式,其截断误差为D(τ+h2),并且是无条件稳定的.数值算例验证了方法的精确性和可靠性.
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| 关 键 词： | 扩散方程 差分方法 半显式}无条件稳定 |
An Unconditionally Stable Semi-explicit High-order Difference Scheme for the Two-dimensional Diffusion Equation |
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| TIAN Qiao-xian,GE Yong-bin. An Unconditionally Stable Semi-explicit High-order Difference Scheme for the Two-dimensional Diffusion Equation[J]. Journal of Shanxi University (Natural Science Edit, 2009, 32(3) |
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| Authors: | TIAN Qiao-xian GE Yong-bin |
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| Abstract: | A semi-explicit high-order difference scheme is proposed for two-dimensional diffusion equation, which is unconditionally stable and of O(τ~2+~4). The following numerical experiments prove its accuracy and reliability. |
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| Keywords: | Diffusion equation Difference method Semi-explicit scheme Unconditionally stable |
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