Convergence of the numerical solution of the initial-boundary value problem for a heat equation with a corner singularity in derivatives of the solution

DOI10.3103/S0278641913040109zbMath1333.65103MaRDI QIDQ264006

U. Kh. Zhemukhov

Publication date: 5 April 2016

Published in: Moscow University Computational Mathematics and Cybernetics (Search for Journal in Brave)

zbMATH Keywords

initial-boundary value problemfinite difference methodcorner singularitydiscrete Green's functionestimate of convergence

Mathematics Subject Classification ID

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)

Related Items (2)

Parameter-uniform numerical methods for singularly perturbed parabolic problems with incompatible boundary-initial data ⋮ Singularly perturbed reaction-diffusion problems with discontinuities in the initial and/or the boundary data

Cites Work

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• Solutions in Hölder spaces of boundary-value problems for parabolic equations with nonconjugate initial and boundary data
• Uniform mesh approximation to nonsmooth solutions of a singularly perturbed convection-diffusion equation in a rectangle
• Differentiability properties of solutions of boundary value problem for the Laplace and Poisson equations on a rectangle
• The Convergence of Spectral and Finite Difference Methods for Initial-Boundary Value Problems

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