Burgers方程混合问题的Lagrange插值逼近  

Lagrange Interpolation Approximation of Mixed Problem of Burgers Equation

作　　者：乔炎 王川 王秦 

机构地区：[1]河南科技大学数学与统计学院,河南 洛阳

出　　处：《应用数学进展》2022年第5期2507-2514,共8页Advances in Applied Mathematics

摘　　要：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。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.

关 键 词：BURGERS方程 混合问题 LAGRANGE插值多项式 等距节点 

分 类 号：O175[理学—数学]