Modification of the Euler Polygonal Method for Solving a Semi-periodic Boundary Value Problem for Pseudo-parabolic Equation of Special Type

Assanova, A. T.; Kabdrakhova, S. S.

doi:10.1007/s00009-020-01540-4

Cited by 4 publications

(1 citation statement)

References 26 publications

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“…Based on the approach proposed, we also construct numerical method for solving problem (1.1)-(1.3). Further, these results will be developed to problem for partial differential equations of Sobolev-type [4], nonlocal problems for pseudo-parabolic equations [5] singular problem for hyperbolic equations [6].…”

Section: Discussionmentioning

confidence: 99%

A generalized integral problem for a system of hyperbolic equations and its applications

Assanova

2023

Hacettepe Journal of Mathematics and Statistics

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A nonlocal boundary value problem for a system of hyperbolic equations of second order with generalized integral condition is considered. By method of introduction of functional parameters the investigated problem is transformed to the inverse problem for the system of hyperbolic equations with unknown parameters and additional functional relations. Algorithms of finding solution to the inverse problem for the system of hyperbolic equations are constructed, and their convergence is proved. The conditions for existence of unique solution to the inverse problem for the system of hyperbolic equations are obtained in the terms of initial data. The coefficient conditions for unique solvability of nonlocal boundary value problem for the system of hyperbolic equations with generalized integral condition are established. The results are illustrated by numerical examples.

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Section: Discussionmentioning

confidence: 99%

A generalized integral problem for a system of hyperbolic equations and its applications

Assanova

2023

Hacettepe Journal of Mathematics and Statistics

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Hyperbolic Equation with Piecewise-Constant Argument of Generalized Type and Solving Boundary Value Problems for It

Assanova

2021

Lobachevskii J Math

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Multiperiodic Solutions of Systems of the Equations with Differential Operator in the Direction of a Vector Field

Kulzhumiyeva

Sartabanov

2022

Lobachevskii J Math

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Modification of the Euler Polygonal Method for Solving a Semi-periodic Boundary Value Problem for Pseudo-parabolic Equation of Special Type

Cited by 4 publications

References 26 publications

A generalized integral problem for a system of hyperbolic equations and its applications

A generalized integral problem for a system of hyperbolic equations and its applications

Hyperbolic Equation with Piecewise-Constant Argument of Generalized Type and Solving Boundary Value Problems for It

Multiperiodic Solutions of Systems of the Equations with Differential Operator in the Direction of a Vector Field

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