Semi-discrete finite-element approximation of nonlocal hyperbolic problem

DOI10.1080/00036811.2020.1749269zbMath1491.65090OpenAlexW3016095172MaRDI QIDQ5065514

Vimal Srivastava, Sudhakar Chaudhary

Publication date: 22 March 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2020.1749269

zbMATH Keywords

finite-element methodNewton iteration methodbackward difference methodnonlocal hyperbolic problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Strings (74K05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Integro-partial differential equations (35R09) Second-order quasilinear hyperbolic equations (35L72) Strong solutions to PDEs (35D35)

Related Items (4)

Symmetric fractional order reduction method with \(L1\) scheme on graded mesh for time fractional nonlocal diffusion-wave equation of Kirchhoff type ⋮ Alternating direction implicit approach for the two-dimensional time fractional nonlinear Klein-Gordon and sine-Gordon problems ⋮ Single-term and multi-term nonuniform time-stepping approximation methods for two-dimensional time-fractional diffusion-wave equation ⋮ Mesh-free Galerkin approximation for parabolic nonlocal problem using web-splines

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