| 数理方程近似求解的数论方法 |
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| 引用本文： | 王元,杨照华.数理方程近似求解的数论方法[J].应用数学学报,1999,22(4):541-547. |
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| 作者姓名： | 王元 杨照华 |
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| 作者单位： | [1]中国科学院数学研究所 [2]华南师范大学数学系 |
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| 摘 要： | 本文，我们用数论网格．．．建议了一个求解数学物理方程的近似方法，此处Ｆｎ表示Ｆｉｂｏｎａｃｃｉ贯。若初始函数适当光滑，本文将给出误差估计，两个例子都表明这一方法优于经典网格方法。
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| 关 键 词： | 数理方程 数论方法 柯西问题 近似解 热传导方程 |
THE APPROXIMATE SOLUTION OF EQUATIONS OF MATHEMATICAL PHYSICS BY NUMBER THEORETIC METHODS |
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| WANG YUAN XU GUANGSHAN.THE APPROXIMATE SOLUTION OF EQUATIONS OF MATHEMATICAL PHYSICS BY NUMBER THEORETIC METHODS[J].Acta Mathematicae Applicatae Sinica,1999,22(4):541-547. |
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| Authors: | WANG YUAN XU GUANGSHAN |
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| Abstract: | In this paper, we propose a method by the use of number-theometic net is contract the difference equations of the equations of mathematical physics, where Fn denotes the Fibouacci sequence. The error estimation will be given when the initical function satisfies some smooth conditions. We give also two examples which all show that this method is better than the classical method obtained by equi-distributed net. |
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| Keywords: | Equations of mathematical Physics number theoretic method Fibonacci sequence Cauchy problem |
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