Geodesic
Computation of eigenfunctions and eigenvalues for the Sturm–Liouville problem with Dirichlet boundary conditions at the left endpoint and Neumann conditions at the right endpoint
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 10, pp. 1750-1753

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A functional-based variational method is proposed for finding the eigenfunctions and eigenvalues in the Sturm–Liouville problem with Dirichlet boundary conditions at the left endpoint and Neumann conditions at the right endpoint. Computations are performed for three potentials: $\sin((x-\pi)^2/\pi)$, $\cos(4x)$, and a high nonisosceles triangle. 
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     author = {M. M. Khapaev and T. M. Khapaeva},
     title = {Computation of eigenfunctions and eigenvalues for the {Sturm{\textendash}Liouville} problem with {Dirichlet} boundary conditions at the left endpoint and {Neumann} conditions at the right endpoint},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1750--1753},
     publisher = {mathdoc},
     volume = {56},
     number = {10},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_10_a5/}
}
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M. M. Khapaev; T. M. Khapaeva. Computation of eigenfunctions and eigenvalues for the Sturm–Liouville problem with Dirichlet boundary conditions at the left endpoint and Neumann conditions at the right endpoint. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 10, pp. 1750-1753. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_10_a5/