A numerical approach to interface curves for some nonlinear diffusion equations

DOI10.1007/BF03167863zbMath0571.65081OpenAlexW1982274058MaRDI QIDQ3687643

Masayasu Mimura, Tatsuyuki Nakaki, Kenji Tomoeda

Publication date: 1984

Published in: Japan Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167863

zbMATH Keywords

convergencenumerical examplesnonlinear diffusion equationnumerical approximation of interfaces

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Free boundary problems for PDEs (35R35)

Related Items (10)

Numerical computations to pulse splitting phenomena in the thermal waves through an absorbing medium. ⋮ Standing pulse-like solutions of a spatially aggregating population model ⋮ NUMERICAL EXPLORATION OF A FORWARD–BACKWARD DIFFUSION EQUATION ⋮ Lagrangian non-oscillatory and FEM schemes for the porous media equation ⋮ Error analysis of the numerical solution of split differential equations ⋮ Numerical methods for porous medium equation by an energetic variational approach ⋮ Error estimates for multidimensional singular parabolic problems ⋮ Difference approximations to interface curves for nonlinear diffusion equations with absorption ⋮ A finite difference approach to the interface equation for some nonlinear diffusion equations with absorption ⋮ Advanced operator splitting-based semi-implicit spectral method to solve the binary phase-field crystal equations with variable coefficients

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