Analytic approximation of solutions of parabolic partial differential equations with variable coefficients

DOI10.1155/2017/2947275zbMath1453.35108arXiv1706.06126OpenAlexW3102826176MaRDI QIDQ1798383

Vladislav V. Kravchenko, Josafath A. Otero, Sergii M. Torba

Publication date: 23 October 2018

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.06126

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Series solutions to PDEs (35C10)

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Cites Work

• Transmutations, \(L\)-bases and complete families of solutions of the stationary Schrödinger equation in the plane
• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• The effective condition number applied to error analysis of certain boundary collocation methods
• Wave polynomials, transmutations and Cauchy's problem for the Klein-Gordon equation
• Transmutations for Darboux transformed operators with applications
• Expansions in Terms of Heat Polynomials and Associated Functions
• A representation for solutions of the Sturm–Liouville equation
• Transmutations and Spectral Parameter Power Series in Eigenvalue Problems
• Spectral parameter power series for Sturm–Liouville problems
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