Solving second order non-linear hyperbolic PDEs using generalized finite difference method (GFDM)

DOI10.1016/j.cam.2019.05.028zbMath1422.65188OpenAlexW4256508797WikidataQ114202084 ScholiaQ114202084MaRDI QIDQ2315915

Yanyan Li

Publication date: 26 July 2019

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

Full work available at URL: https://doi.org/10.1016/j.cam.2019.05.028

zbMATH Keywords

meshless methodsnonlinear hyperbolic partial differential equationsgeneralized finite difference method

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) 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) Second-order semilinear hyperbolic equations (35L71)

Related Items (5)

High precision implicit method for 3D quasilinear hyperbolic equations on a dissimilar domain: application to 3D telegraphic equation ⋮ The generalized finite difference method with third- and fourth-order approximations and treatment of ill-conditioned stars ⋮ A spatio-temporal fully meshless method for hyperbolic PDEs ⋮ A Nitsche-Based Element-Free Galerkin Method for Semilinear Elliptic Problems ⋮ High resolution operator compact implicit half-step approximation for 3D quasi-linear hyperbolic equations and ADI method for 3D telegraphic equation on an irrational domain

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