Stability and convergence of difference schemes approximating a two-parameter nonlocal boundary value problem

DOI10.1134/S0012266113070021zbMath1293.65118MaRDI QIDQ2435161

Anatoly A. Alikhanov

Publication date: 3 February 2014

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

stabilityconvergenceenergy methodfinite difference schemenon-local boundary value heat equation

Mathematics Subject Classification ID

Heat equation (35K05) 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 (8)

Stability and convergence of difference schemes for boundary value problems for the fractional-order diffusion equation ⋮ A new difference scheme for the time fractional diffusion equation ⋮ Numerical methods of solutions of boundary value problems for the multi-term variable-distributed order diffusion equation ⋮ A difference method for solving the Steklov nonlocal boundary value problem of second kind for the time-fractional diffusion equation ⋮ Fractional order tube model reference adaptive control for a class of fractional order linear systems ⋮ Stability and convergence of difference schemes approximating a two-parameter nonlocal boundary value problem for time-fractional diffusion equation ⋮ Stability and convergence of difference schemes approximating a nonlocal Steklov boundary value problem of the second class ⋮ A Higher Order Difference Scheme for the Time Fractional Diffusion Equation with the Steklov Nonlocal Boundary Value Problem of the Second Kind

Cites Work

• Unnamed Item
• Unnamed Item
• On the stability and convergence of nonlocal difference schemes
• Nonlocal boundary value problems in differential and difference settings
• Shakedown analysis of beams using nonlinear kinematic hardening materials coupled with continuum damage mechanics
• Optimal boundary control of a system of reaction diffusion equations
• Stability of the Two-parameter Set of Nonlocal Difference Schemes
• A multivariate long-memory model with structural breaks

This page was built for publication: Stability and convergence of difference schemes approximating a two-parameter nonlocal boundary value problem