A new three-level implicit cubic spline method for the solution of 1D quasi-linear hyperbolic equations

DOI10.1007/s10598-013-9190-1zbMath1328.65180OpenAlexW2048144272MaRDI QIDQ895474

N. E. Zubov

Publication date: 3 December 2015

Published in: Computational Mathematics and Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10598-013-9190-1

zbMATH Keywords

stabilityVan der Pol equationnumerical resultmaximum absolute errorsquasi-linear hyperbolic equationwave equation in polar coordinatescubic spline approximationtelegraphic equationthree-level implicit compact finite difference discretization

Mathematics Subject Classification ID

Numerical computation using splines (65D07) 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) Second-order quasilinear hyperbolic equations (35L72)

Related Items (1)

A new fast algorithm based on half-step discretization for one space dimensional quasilinear hyperbolic equations

Cites Work

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