Abstract
We present the variational method for finding the eigenfunctions and eigenvalues in the Sturm-Liouville problem with Dirichlet boundary conditions; the method is based on the proposed functional. As a test example, we consider the potential cos(4x). Also computations for two functions sin((x - π)2/π) and a high nonisosceles triangle are given.
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References
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Khapaev, M.M., Khapaeva, T.M. On the computation of eigenfunctions and eigenvalues in the Sturm-Liouville problem. Math Notes 97, 616–620 (2015). https://doi.org/10.1134/S0001434615030323
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DOI: https://doi.org/10.1134/S0001434615030323