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Nonreflecting artifical boundary conditions for replacement of neglected equations with lacunas. (Russian. English summary) Zbl 0988.65071
Summary: Artificial boundary conditions (ABC) are constructed which are equivalent to the 3D-wave equation outside of unit sphere. An algorithm for using this ABC is also suggested. It is demonstrated the ABC and the algorithm are effective for long time calculations. The ABC and the algorithm are based on the method of difference potentials and lacunas of 3D-wave equation solutions.
MSC:
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
35L05 Wave equation
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