Solving of initial-boundary value problems for the wave equation using retarded surface potential and Laguerre transform (in Ukrainian)

S. Litynskyy; A. Muzychuk

doi:10.15330/ms.44.2.185-203

Solving of initial-boundary value problems for the wave equation using retarded surface potential and Laguerre transform (in Ukrainian)

Matematychni Studii ◽

10.15330/ms.44.2.185-203 ◽

2015 ◽

Vol 44 (2) ◽

Author(s):

S. Litynskyy ◽

A. Muzychuk

Keyword(s):

Wave Equation ◽

Boundary Value Problems ◽

Surface Potential ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Laguerre Transform ◽

Initial Boundary Value

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Retarded potentials and Laguerre transform for initial-boundary value problems for the wave equation

2015 XXth IEEE International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED) ◽

10.1109/diped.2015.7324278 ◽

2015 ◽

Author(s):

Svyatoslav Litynskyy ◽

Anatoliy Muzychuk

Keyword(s):

Wave Equation ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Laguerre Transform ◽

Initial Boundary Value

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Estimates of deviations from exact solutions of initial boundary value problems for the wave equation

Journal of Mathematical Sciences ◽

10.1007/s10958-009-9435-x ◽

2009 ◽

Vol 159 (2) ◽

pp. 229-240 ◽

Cited By ~ 1

Author(s):

S. Repin

Keyword(s):

Wave Equation ◽

Exact Solutions ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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The initial-boundary value problems for a class of sixth order nonlinear wave equation

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2017244 ◽

2017 ◽

Vol 37 (11) ◽

pp. 5631-5649 ◽

Cited By ~ 14

Author(s):

Runzhang Xu ◽

◽

Mingyou Zhang ◽

Shaohua Chen ◽

Yanbing Yang ◽

...

Keyword(s):

Wave Equation ◽

Boundary Value Problems ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Boundary Value ◽

Initial Boundary ◽

Sixth Order ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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ON INITIAL BOUNDARY VALUE PROBLEMS FOR THE DEGENERATE 1D WAVE EQUATION

Journal of Optimization Differential Equations and their Applications ◽

10.15421/141906 ◽

2019 ◽

Vol 27 (2) ◽

pp. 23

Author(s):

Vladimir V. Borsch

Keyword(s):

Wave Equation ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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Generalized solutions of initial-boundary value problems for a discontinuous wave equation in the case of equal impedances

Doklady Mathematics ◽

10.1134/s1064562409060295 ◽

2009 ◽

Vol 80 (3) ◽

pp. 901-905 ◽

Cited By ~ 2

Author(s):

V. A. Il’in ◽

P. V. Luferenko

Keyword(s):

Wave Equation ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Generalized Solutions ◽

Initial Boundary Value Problems ◽

Discontinuous Wave ◽

Initial Boundary Value

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Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies

10.1007/978-3-662-06707-9 ◽

1988 ◽

Author(s):

Zhu You-lan ◽

Chen Bing-mu ◽

Zhong Xi-chang ◽

Zhang Zuo-min

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Difference Methods ◽

Initial Boundary Value

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ADAPTIVE WAVELET ALGORITHM FOR SOLVING NONLINEAR INITIAL–BOUNDARY VALUE PROBLEMS WITH ERROR CONTROL

International Journal for Multiscale Computational Engineering ◽

10.1615/intjmultcompeng.2018024915 ◽

2018 ◽

Vol 16 (1) ◽

pp. 19-43 ◽

Cited By ~ 2

Author(s):

C. Harnish ◽

Karel Matous ◽

D. Livescu

Keyword(s):

Boundary Value Problems ◽

Error Control ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Adaptive Wavelet ◽

Initial Boundary Value ◽

Wavelet Algorithm

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On the Construction of a General Solution for Initial Boundary Value Problems and Observation and Terminal Control Problems for Systems with Distributed Parameters

Telecommunications and Radio Engineering ◽

10.1615/telecomradeng.v54.i5-6.20 ◽

2000 ◽

Vol 54 (5-6) ◽

pp. 9-27

Author(s):

Vladimir Antonovich Stoyan ◽

Nikolay Fedorovich Kirichenko

Keyword(s):

General Solution ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Control Problems ◽

Terminal Control ◽

Initial Boundary Value Problems ◽

Distributed Parameters ◽

Initial Boundary Value ◽

Systems With Distributed Parameters

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Exact Conditions for Virtual Boundaries in Initial Boundary-Value Problems of the Wave Scattering Theory

Telecommunications and Radio Engineering ◽

10.1615/telecomradeng.v56.i8-9.70 ◽

2001 ◽

Vol 56 (8-9) ◽

pp. 21 ◽

Cited By ~ 1

Author(s):

Andrei Olegovich Perov ◽

Yurii Konstantinovich Sirenko

Keyword(s):

Boundary Value Problems ◽

Scattering Theory ◽

Wave Scattering ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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COMPARISON OF EXACT AND APPROXIMATE ABSORBING CONDITIONS FOR INITIAL BOUNDARY VALUE PROBLEMS OF THE ELECTROMAGNETIC THEORY OF GRATINGS

Telecommunications and Radio Engineering ◽

10.1615/telecomradeng.v77.i18.10 ◽

2018 ◽

Vol 77 (18) ◽

pp. 1581-1595

Author(s):

V. L. Pazynin ◽

S. S. Sautbekov ◽

K. Yu. Sirenko ◽

Yurii Konstantinovich Sirenko ◽

A. A. Vertiy ◽

...

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Electromagnetic Theory ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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