| 非齐次热传导方程的高精度隐式格式 |
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| 引用本文： | 田振夫. 非齐次热传导方程的高精度隐式格式[J]. 宁夏大学学报(自然科学版), 1996, 17(3): 34-38 |
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| 作者姓名： | 田振夫 |
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| 作者单位： | 宁夏大学应用数学研究所 |
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| 摘 要： | 采用待定系数和差分逼近方程的最高相容条件相结合的方法，提出了两种精度依次为Ｏ（Ｋ３＋Ｋｈ２＋ｈ２）和Ｏ（Ｋ２＋Ｋｈ２＋ｈ４）的数值求解非齐次热传导方程的两层三点隐式差分格式．所得格式均是无条件稳定的，并用算例对文中格式的性态进行了验证
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| 关 键 词： | 热传导方程；隐式差分格式；非齐次方程；高精度 |
IMPLICIT FINTE DIFFERENCE SCHEMES WITH HIGH ORDER ACCURACY FOR INHOMGONEOUS HEAT CONDUCTION EQUATION |
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| Tian Zhenfu. IMPLICIT FINTE DIFFERENCE SCHEMES WITH HIGH ORDER ACCURACY FOR INHOMGONEOUS HEAT CONDUCTION EQUATION[J]. Journal of Ningxia University(Natural Science Edition), 1996, 17(3): 34-38 |
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| Authors: | Tian Zhenfu |
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| Abstract: | Two new two level implicit finite difference methods with absolute stability are developed for inhomogeneous heat conduction equation in this paper. The methods are of order O(K 2 Kh 2 h 2)and O (K 2 Kh 2 h 4) recpectively. Numerical example is given to illustreat the behavior of the present method. |
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| Keywords: | heat conduction equation implicit difference scheme inhomogeneous equation high order accuracy |
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