in this work, the issue of numerical solution of a boundary issue for a singular excited differential equation is considered. In this case, a solution is built on the basis of spectral methods and their accuracy, stability and efficiency in calculation are analyzed. The results of the study show that spectral methods provide high-resolution results for singular excited issues and can be useful tools in representing complex physical models.

singular excited equation, spectral method, boundary issue, numerical modeling, high precision, finite layers

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