• Corpus ID: 204928896

Local Solution Method for Numerical Solving of the Wave Propagation Problem

@inproceedings{VEMoiseenko1999LocalSM,
  title={Local Solution Method for Numerical Solving of the Wave Propagation Problem},
  author={V.E.Moiseenko and V.V.Pilipenko},
  year={1999}
}
A new method for numerical solving of boundary problem for ordinary differential equations with slowly varying coefficients which is aimed at better representation of solutions in the regions of their rapid oscillations or exponential increasing (decreasing) is proposed. It is based on approximation of the solution to find in the form of superposition of certain polynomial-exponential basic functions. The method is studied for the Helmholtz equation in comparison with the standard finite… 

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