Exact schemes for second-order linear differential equations in self-adjoint cases

DOI10.1186/S13662-020-02957-7zbMath1486.65132OpenAlexW3086381261WikidataQ115241347 ScholiaQ115241347MaRDI QIDQ2124975

Mihály Klincsik, Peter Odry, Zoltan Vizvari, Zoltan Sari

Publication date: 11 April 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02957-7

zbMATH Keywords

exact schemediscretization of boundary value problemlocal Green functiontridiagonal system of linear equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for second-order parabolic equations (35K15)

Cites Work

• Harmonic averages, exact difference schemes and local Green's functions in variable coefficient PDE problems
• Analytic solutions of some self-adjoint equations by using variable change method and its applications
• Fundamental mode exact schemes for unsteady problems
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