| 方程u_（tt）＝u_（xxt）＋σ（u_x）_x的谱方法及其误差估计 |
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| 引用本文： | 尚亚东.方程u_（tt）＝u_（xxt）＋σ（u_x）_x的谱方法及其误差估计[J].西安石油大学学报(自然科学版),1994(1). |
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| 作者姓名： | 尚亚东 |
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| 作者单位： | 西安石油学院基础课部 |
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| 摘 要： | 利用语方法和Ｂｅｒｎｓｔｅｉｎ估计算得到方程ｕｔｔ＝ｕｘｘｔ＋σ（ｕｘ）ｘ的周期初值问题的近似解及其误差估计．
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| 关 键 词： | Sobolev嵌入定理，谱方法，Bernstein估计，近似解，误差估计 |
The Spectral Method and the Error Estimates For Equation u_(tt)=u_(xxt)+ σ(u_x)_x |
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| Shang Yadong.The Spectral Method and the Error Estimates For Equation u_(tt)=u_(xxt)+ σ(u_x)_x[J].Journal of Xian Shiyou University,1994(1). |
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| Authors: | Shang Yadong |
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| Institution: | Dept.of Basic Courses of Xi'an Petro. Inst.Xi'an.710061 |
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| Abstract: | t is obtained that the approximate solutions and their error estimetes for the periodic initial value problem of the equations utt=uxxi+ σ(ux)x by means of the spectral method and the Bernstein's estimates. |
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| Keywords: | Soblev imbedding theorem Spectral method Bernstein's estimate approximate solution error estimate |
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