Study of the backward difference and local discontinuous Galerkin (LDG) methods for solving fourth-order partial integro-differential equations (PIDEs) with memory terms: stability analysis

DOI10.1016/j.apnum.2022.11.005zbMath1505.65266OpenAlexW4308804223MaRDI QIDQ2106246

Hojatollah Adibi, Mehdi Dehghan, Hadi Mohammadi-Firouzjaei

Publication date: 9 December 2022

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2022.11.005

zbMATH Keywords

stability analysisweakly singular kernelslocal discontinuous Galerkin methodbackward difference methodfourth-order partial integro-differential equations

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Stability in context of PDEs (35B35) 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) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Integro-partial differential equations (35R09)

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