New properties of the FD-method in its applications to the Sturm-Liouville problems

DOI10.15407/DOPOVIDI2014.02.026zbMath1313.65198OpenAlexW2507885669MaRDI QIDQ2877115

Volodymyr L. Makarov, Nataliia M. Romaniuk

Publication date: 21 August 2014

Published in: Reports of the National Academy of Sciences of Ukraine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15407/dopovidi2014.02.026

zbMATH Keywords

algorithmconvergenceDirichlet boundary conditionSturm-Liouville problemdifference methodFD-method

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (6)

Super-exponentially convergent parallel algorithm for eigenvalue problems with fractional derivatives ⋮ Unnamed Item ⋮ Symbolic algorithm of the functional-discrete method for a Sturm-Liouville problem with a polynomial potential ⋮ Exponentially convergent symbolic algorithm of the functional-discrete method for the fourth order Sturm-Liouville problems with polynomial coefficients ⋮ Exact and approximate solutions of the spectral problems for the differential Schrödinger operator with polynomial potential in \(\mathbb{R} ^K\), \(K \geq 2\) ⋮ Exact and approximate solutions of spectral problems for the Schrödinger operator on \((-\infty, \infty)\) with polynomial potential

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