A locally one-dimensional scheme for the third initial boundary value problem for a multidimensional Sobolev-type equation with a memory effect

DOI10.46698/P2394-5241-9362-PMaRDI QIDQ6500248

Murat Kh. Beshtokov

Publication date: 10 May 2024

Published in: Vladikavkazskiĭ Matematicheskiĭ Zhurnal (Search for Journal in Brave)

zbMATH Keywords

a priori estimateSobolev-type equationlocally one-dimensional schememultidimensional equationmemory equationstability and convergence of schemes

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)

Cites Work

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• On the numerical solution of a nonlocal boundary value problem for a degenerating pseudoparabolic equation
• Boundary value problems for degenerating and nondegenerating Sobolev-type equations with a nonlocal source in differential and difference forms
• Finite difference method for a nonlocal boundary value problem for a third-order pseudoparabolic equation
• A general theory of heat conduction with finite wave speeds
• Existence and uniform decay for a non-linear viscoelastic equation with strong damping
• Regularizing properties and propagations of singularities for thermoelastic plates
• Decay rates of solutions to thermoviscoelastic plates with memory
• Asymptotic behavior of solutions in linear 2- or 3-D thermoelasticity with second sound
• Nonlocal Boundary Value Problems for Sobolev-Type Fractional Equations and Grid Methods for Solving Them

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