Convergence Research of Numerical Methods for Solving Problems With Mixed Type Operator in an Unlimited Area

Mikhail Galanin, D. Sorokin
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Abstract

Methods for solving problems of elliptic equations, based on the third Green formula, was analyzed. New methods for solving a problem with a mixed-type operator in an unbounded domain are proposed. On the basis of the proposed methods, programs for solving problems with a mixed type operator have been created. The results of computational experiments, showing the correctness of the application of methods, are presented.
无限区域内混合型算子问题数值解的收敛性研究
在格林第三公式的基础上,分析了求解椭圆型方程问题的方法。提出了求解无界域上混合算子问题的新方法。在此基础上,编制了求解混合类型算子问题的程序。最后给出了计算实验结果,验证了方法的正确性。
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