| 一类双调和方程的高精度3次样条差分方法 |
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| 引用本文： | 田振夫.一类双调和方程的高精度3次样条差分方法[J].河北师范大学学报(自然科学版),1997,21(3):232-234. |
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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： | 提出了求解一类双调和方程的高精度３次样条差分方法。该方法是以建立Ｐｏｉｓｓｏｎ方程的４阶３次样条公式为前提的，具有４阶精度，给出了数值例子，检验了文中格式的良好性态。
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| 关 键 词： | 双调和方程 差分法 三次样条 精度 数值解 |
Cubic Spline Finite Difference Method of High Order Accuracy for a Class of Biharmonic Equation |
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| TianZhenfu.Cubic Spline Finite Difference Method of High Order Accuracy for a Class of Biharmonic Equation[J].Journal of Hebei Normal University,1997,21(3):232-234. |
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| Authors: | TianZhenfu |
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| Abstract: | A finite difference(FD) method using nine grid points is presented in this paper for solving a class of biharmonic equation,based on a coupled pair of Poisson equation and cubic spline finite difference formula of the fourth order accuracy.Numerical example is given to illustreat the present method and its convengence. |
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| Keywords: | biharmonic equation difference method cubic spline high order accuacy |
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