Differential and difference boundary value problem for loaded third-order pseudo-parabolic differential equations and difference methods for their numerical solution

DOI10.1134/S0965542517120089zbMath1393.65007OpenAlexW2790745647WikidataQ130195776 ScholiaQ130195776MaRDI QIDQ1746366

Murat Kh. Beshtokov

Publication date: 25 April 2018

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542517120089

zbMATH Keywords

boundary value problemsdifference schemea priori estimatestability and convergence of difference schemesthird-order pseudo-parabolic equation

Mathematics Subject Classification ID

PDEs with multivalued right-hand sides (35R70) PDEs in connection with fluid mechanics (35Q35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) A priori estimates in context of PDEs (35B45)

Related Items (15)

A numerical method for solving the second initial-boundary value problem for a multidimensional third-order pseudoparabolic equation ⋮ An inverse problem for investigating the time-dependent coefficient in a higher-order equation ⋮ Difference methods for solving non-local boundary value problems for fractional-order pseudo-parabolic equations with the Bessel operator ⋮ Unnamed Item ⋮ Stability and convergence of difference schemes approximating boundary value problems for loaded Sobolev-type fractional differential equations ⋮ Boundary value problems for a moisture transfer equation with the Caputo fractional derivative and the Bessel operator ⋮ Difference Methods of the Solution of Local and Non-local Boundary Value Problems for Loaded Equation of Thermal Conductivity of Fractional Order ⋮ Boundary value problems for degenerate and degenerate fractional order differential equations with non-local linear source and difference methods for their numerical implementation ⋮ The Crank-Nicolson type compact difference schemes for a loaded time-fractional Hallaire equation ⋮ ON BOUNDARY VALUE PROBLEM FOR GENERALIZED ALLER EQUATION ⋮ Reconstructing an unknown potential term in the third-order pseudo-parabolic problem ⋮ Unnamed Item ⋮ Space-dependent heat source determination problem with nonlocal periodic boundary conditions ⋮ Boundary value problems for a loaded modified fractional-order moisture transfer equation with the Bessel operator and difference methods for their solution ⋮ On the solution of boundary value problems for loaded ordinary differential equations

Cites Work

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• A numerical method for solving one nonlocal boundary value problem for a third-order hyperbolic equation
• Instability, uniqueness, and nonexistence theorems for the equation \(u_t=u_{xx}-u_{xtx}\) on a strip
• The development of general differential and general differential-boundary systems
• A cooling process according to two-temperature theory of heat conduction
• Finite difference method for a nonlocal boundary value problem for a third-order pseudoparabolic equation
• Pseudoparabolic equations in one space variable
• Integral operators and the first initial boundary value problem for pseudoparabolic equations with analytic coefficients
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• SOME QUESTIONS OF GENERAL TOPOLOGY AND TIKHONOV SEMIFIELDS. II
• Pseudoparabolic Partial Differential Equations
• On the convergence of difference schemes approximating the second and third boundary value problems for elliptic equations
• Boundary value problems for certain classes of loaded differential equations and solving them by finite difference methods

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