A Unified Design of Energy Stable Schemes with Variable Steps for Fractional Gradient Flows and Nonlinear Integro-differential Equations
DOI10.1137/23m1554795WikidataQ129749745 ScholiaQ129749745MaRDI QIDQ6189164
Publication date: 8 February 2024
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
nonlinear integro-differential equationenergy stabilityscalar auxiliary variablediscrete gradient structurenonuniform time stepstime fractional gradient flow
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) 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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Partial differential equations of mathematical physics and other areas of application (35Q99) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)
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