An Unconditionally Stable Numerical Method for Two-Dimensional Hyperbolic Equations

DOI10.4208/eajam.280118.100518zbMath1468.65168OpenAlexW2911195682WikidataQ128631359 ScholiaQ128631359MaRDI QIDQ4983588

Suruchi Singh, Rajni Arora, Swarn Singh

Publication date: 26 April 2021

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.280118.100518

zbMATH Keywords

collocation methodunconditional stabilitytelegraph equationtri-diagonal solverSSP-RK(2,2)

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Second-order nonlinear hyperbolic equations (35L70) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (1)

A high-resolution bi-parametric unconditionally stable ADI method for 2D uniform transmission line equation

Cites Work

• Combination of meshless local weak and strong (MLWS) forms to solve the two-dimensional hyperbolic telegraph equation
• The exponential cubic B-spline algorithm for Korteweg-de Vries equation
• A practical guide to splines
• An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation
• A new fourth-order compact finite difference scheme for the two-dimensional second-order hyperbolic equation
• High order implicit collocation method for the solution of two‐dimensional linear hyperbolic equation

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