The two-level finite difference schemes for the heat equation with nonlocal initial condition
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Publication:2008024
DOI10.1016/j.amc.2018.09.025zbMath1429.65191OpenAlexW2895677619MaRDI QIDQ2008024
Svajūnas Sajavičius, Jesús Martín-Vaquero
Publication date: 22 November 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2018.09.025
Initial-boundary value problems for second-order parabolic equations (35K20) 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)
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Cites Work
- Finite difference computing with exponential decay models
- Numerical algorithms for diffusion-reaction problems with non-classical conditions
- Two-level fourth-order explicit schemes for diffusion equations subject to boundary integral specifications
- On efficient numerical methods for an initial-boundary value problem with nonlocal boundary conditions
- Error estimates for the semidiscrete finite element approximation of linear nonlocal parabolic equations
- Finite difference solutions for parabolic equations with the time weighting initial conditions
- Numerical schemes for one-dimensional parabolic equations with nonstandard initial condition.
- Iterative finite element approximations of solutions to parabolic equations with nonlocal conditions
- Three-level techniques for one-dimensional parabolic equation with nonlinear initial condition
- Reaction diffusion equations with nonlocal boundary and nonlocal initial conditions
- Finite volume element approximations of nonlocal in time one-dimensional flows in porous media
- An integral constrained parabolic problem with applications in thermochronology
- Time-nonlocal problems for Schrödinger type equations. II: Results for specific problems
- Time-nonlocal problems for Schrödinger type equations. I: Problems in abstract spaces
- Finite Difference Computing with PDEs
- On nonclassical problems for first-order evolution equations
- Extensions of a property of the heat equation to linear thermoelasticity and other theories
- Parabolic equations and thermodynamics
- Mathematical treatment of the magnetic confinement in a current carrying stellarator
- Analytical and Numerical Solutions for a Class of Nonlocal Nonlinear Parabolic Differential Equations
- Polynomial-based mean weighted residuals methods for elliptic problems with nonlocal boundary conditions in the rectangle
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