Nonuniform Crank‐Nicolson scheme for solving the stochastic Kawarada equation via arbitrary grids

DOI10.1002/NUM.22144zbMath1376.65005arXiv1901.06365OpenAlexW2589013956WikidataQ115398034 ScholiaQ115398034MaRDI QIDQ5349274

Qin Sheng, Joshua Lee Padgett

Publication date: 24 August 2017

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.06365

zbMATH Keywords

monotonicitynumerical examplespositivitycombustionnumerical stabilityCrank-Nicolson schemenonuniform gridsliquid fuelsquenching blow-upstochastic Kawarada equationturbulent macro and micro flows

Mathematics Subject Classification ID

Statistical turbulence modeling (76F55) 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) Combustion (80A25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (6)

A stable and convergent finite-difference model which conserves the positivity and the dissipativity of Gibbs' free energy for a nonlinear combustion equation ⋮ A nonconventional stability approach for a nonlinear Crank-Nicolson method solving degenerate Kawarada problems ⋮ Numerical solution of degenerate stochastic Kawarada equations via a semi-discretized approach ⋮ The quenching of solutions to time-space fractional Kawarada problems ⋮ Adaptive ADI numerical analysis of 2D quenching-type reaction: diffusion equation with convection term ⋮ A simulation expressivity of the quenching phenomenon in a two-sided space-fractional diffusion equation

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