| 三维热传导方程恒稳定的高精度半显式差分方法 |
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| 引用本文： | 田巧娴,杨国锋,葛永斌. 三维热传导方程恒稳定的高精度半显式差分方法[J]. 江西师范大学学报(自然科学版), 2009, 33(1) |
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| 作者姓名： | 田巧娴 杨国锋 葛永斌 |
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| 作者单位： | 宁夏大学,应用数学与力学研究所,宁夏,银川,750021;宁夏大学,应用数学与力学研究所,宁夏,银川,750021;宁夏大学,应用数学与力学研究所,宁夏,银川,750021 |
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| 摘 要： | 提出了数值求解三维热传导方程的一种无条件稳定的高精度半显式差分方法,该方法可以显式计算且计算量小,截断误差为O(τ2+h4).数值算例验证了方法的精确性和可靠性.
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| 关 键 词： | 三维热传导方程 半显式 高精度 无条件稳定 有限差分法 |
An Unconditionally Stable High-Order Semi-Explicit Difference Method for Solving 3D Heat Conduction Equation |
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| TIAN Qiao-xian,YANG Guo-feng,GE Yong-bin. An Unconditionally Stable High-Order Semi-Explicit Difference Method for Solving 3D Heat Conduction Equation[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2009, 33(1) |
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| Authors: | TIAN Qiao-xian YANG Guo-feng GE Yong-bin |
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| Affiliation: | Institute of Applied Mathematics and Mechanics;Ningxia University;Yinchuan 750021;China |
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| Abstract: | An unconditionally stable semi-explicit high-order difference method which is of order is proposed for solving three-dimensional(3D) heat conduction equation.The method can be used to compute explicitly,so the cost is small.Numerical experiment proves its accuracy and reliability. |
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| Keywords: | 3D heat conduction equation semi-explicit scheme high accuracy unconditionally stable finite difference method |
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