Improved accuracy estimates of the difference scheme for the two-dimensional parabolic equation with regard for the effect of initial and boundary conditions

DOI10.1007/s10559-017-9909-7zbMath1368.65142OpenAlexW2581135070MaRDI QIDQ2362818

N. V. Maiko

Publication date: 14 July 2017

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-017-9909-7

zbMATH Keywords

finite difference schemeparabolic equationinitial boundary value problemaccuracy estimateboundary and initial effects

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

Improved accuracy estimates of the difference scheme for the two-dimensional parabolic equation with regard for the effect of initial and boundary conditions, Weighted estimates for boundary value problems with fractional derivatives, Super-exponential rate of convergence of the Cayley transform method for an abstract differential equation, A weighted error estimate for a finite-difference scheme of increased approximation order for a two-dimensional Poisson equation with allowance for the Dirichlet boundary condition, Weighted estimates of the Cayley transform method for abstract differential equations, Weighted Estimates of the Cayley Transform Method for Boundary Value Problems in a Banach Space, Boundary effect in accuracy estimate of the grid method for solving fractional differential equations, The boundary effect in the accuracy estimate for the grid solution of the fractional differential equation

Cites Work

• Unnamed Item
• Unnamed Item
• Boundary effect in the error estimate of the finite-difference scheme for two-dimensional Poisson's equation
• Error estimates of the finite-difference scheme for a one-dimensional parabolic equation with allowance for the effect of initial and boundary conditions
• Improved accuracy estimates of the difference scheme for the two-dimensional parabolic equation with regard for the effect of initial and boundary conditions
• Weight Uniform Accuracy Estimates of Finite Difference Method for Poisson Equation, Taking into Account Boundary Effect
• New properties of the FD-method in its applications to the Sturm-Liouville problems