Discrete Gradient Structure of a Second-Order Variable-Step Method for Nonlinear Integro-Differential Models
DOI10.1137/22m1520050zbMath1527.35452arXiv2301.12474MaRDI QIDQ6080813
Hong-lin Liao, Pin Lyu, Nan Liu
Publication date: 25 October 2023
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.12474
discrete gradient structurediscrete variational energy lawintegral averaged formulatime-fractional Allen-Cahn modeltime-fractional Klein-Gordon model
Structured surfaces and interfaces, coexistent phases (74A50) Fractional derivatives and integrals (26A33) 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) Partial differential equations of mathematical physics and other areas of application (35Q99) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)
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