%0 Journal Article
%T Burgers方程混合问题的Lagrange插值逼近<br>Lagrange Interpolation Approximation of Mixed Problem of Burgers Equation
%A 乔炎
%A 王川
%A 王秦
%J Advances in Applied Mathematics
%P 2507-2514
%@ 2324-8009
%D 2022
%I Hans Publishing
%R 10.12677/AAM.2022.115265
%X 利用等距节点为插值节点，构造Burgers方程混合问题的时空二元Lagrange插值逼近格式。即在时间和空间方向都采用Lagrange插值多项式进行逼近，化为非线性方程组，利用迭代方法进行求解。最后通过数值结果证明了算法内容的正确性与实用性，为研究其他问题提供了强有力的工具。<br />
The spatiotemporal binary Lagrange interpolation approximation scheme for the mixed problem of Burgers equation is constructed by using equidistant nodes as interpolation nodes. That is, La-grange interpolation polynomials are used to approximate in time and space, which are trans-formed into nonlinear equations and solved by fixed point iterative method. Finally, the numerical results prove the correctness and practicability of the algorithm, which provides a powerful tool for studying other problems.
%K Burgers方程，混合问题，Lagrange插值多项式，等距节点<br>Burgers Equation
%K Mixed Problems
%K Lagrange Interpolation Polynomial
%K Equidistant Node
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=51344