On second order of accuracy difference scheme of the approximate solution of nonlocal elliptic-parabolic problems

DOI10.1155/2010/705172zbMath1198.65120OpenAlexW2156827765WikidataQ58649906 ScholiaQ58649906MaRDI QIDQ1957592

Okan Gercek, Allaberen Ashyralyev

Publication date: 27 September 2010

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/230408

zbMATH Keywords

numerical exampleHilbert spacedifference schemeHölder spaceswell posednesselliptic-parabolic equationsself-adjoint positive definite operatorabstract nonlocal boundary value problem

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear differential equations in abstract spaces (34G10) Initial-boundary value problems for PDEs of mixed type (35M13)

Related Items (6)

On the numerical solutions of high order stable difference schemes for the hyperbolic multipoint nonlocal boundary value problems ⋮ A note on the second order of accuracy stable difference schemes for the nonlocal boundary value hyperbolic problem ⋮ Finite difference method for multipoint nonlocal elliptic-parabolic problems ⋮ On the second order of accuracy stable implicit difference scheme for elliptic-parabolic equations ⋮ Well-posedness of the first order of accuracy difference scheme for elliptic-parabolic equations in Hölder spaces ⋮ On stability of a third order of accuracy difference scheme for hyperbolic nonlocal BVP with self-adjoint operator

Cites Work

• Approximation of abstract differential equations
• On the stability of a finite-difference scheme for nonlocal parabolic boundary-value problems
• Regular boundary value problems for complete second order elliptic differential-operator equations in \(UMD\) Banach spaces
• On the solvability of the first nonlocal boundary value problem for an elliptic equation
• On a variational statement of a nonlocal boundary value problem for a fourth-order ordinary differential equation
• Finite-difference methods for solution of nonlocal boundary value problems
• Nonlocal boundary value problems for elliptic-parabolic differential and difference equations
• Stability of a nonlocal two-dimensional finite-difference problem
• On the stability of a nonlocal finite-difference boundary value problem
• Coercive boundary value problems for regular degenerate differential-operator equations
• Hierarchical models of elastic shells in curvilinear coordinates
• Linear and quasilinear elliptic equations
• Maximal regular boundary value problems in Banach-valued weighted space
• Time-nonlocal problems for Schrödinger type equations. I: Problems in abstract spaces
• Exponentially Convergent Parallel Discretization Methods for the First Order Evolution Equations
• On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation
• High-accuracy Stable Difference Schemes for Well-posed NBVP
• A Galerkin Procedure for the Diffusion Equation Subject to the Specification of Mass
• On Well-Posedness of the Nonlocal Boundary Value Problems for Elliptic Equations
• Algorithms without accuracy saturation for evolution equations in Hilbert and Banach spaces
• ON WELL-POSEDNESS OF DIFFERENCE SCHEMES FOR ABSTRACT PARABOLIC EQUATIONS INL^P([0,T;E) SPACES]
• Finite volume element approximations of nonlocal reactive flows in porous media
• Exponentially Convergent Algorithms for the Operator Exponential with Applications to Inhomogeneous Problems in Banach Spaces
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
• Analytic semigroups and optimal regularity in parabolic problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On second order of accuracy difference scheme of the approximate solution of nonlocal elliptic-parabolic problems