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Higher Education Administration

Bulletin of Gulistan State University

Journal

Explicit scheme

Publication Year

Articles 1 - 4 of 4

Full-Text Articles in Education

Increasing The Stability Of Explicit Finite-Difference Schemes When Modeling Dynamic Problems Of Thermoelasticity, Aziz Abdukayumovich Kalandarov, Abdukayum Kalandarov Jun 2021

Increasing The Stability Of Explicit Finite-Difference Schemes When Modeling Dynamic Problems Of Thermoelasticity, Aziz Abdukayumovich Kalandarov, Abdukayum Kalandarov

Bulletin of Gulistan State University

The article formulates mathematical and numerical models of thermoelastic processes in the form of dynamic coupled boundary value problems. The related problems of thermoelasticity are one of the important areas of mathematical and computer modeling. The article proposes classical explicit finite-difference relations and a rhombus scheme, which makes it possible to increase the stability of explicit schemes in the numerical solution of coupled dynamic problems of thermoelasticity. As an example, a one-dimensional coupled dynamic problem for isotropic bodies is numerically solved using various explicit finite-difference schemes. A software package has been developed for the numerical solution and visualization of the …


Numerical Solution Of The Two-Dimensional Related Dynamic Problem Of Thermoelasticity For Isotropic Bodies, A.A Каlandarov Dec 2018

Numerical Solution Of The Two-Dimensional Related Dynamic Problem Of Thermoelasticity For Isotropic Bodies, A.A Каlandarov

Bulletin of Gulistan State University

The coupled dynamic thermoelastic problem is considered in the article. The considered boundary problem consists of the movement and heat equations correspondingly of hyperbolic and parabolic types, where the unknowns are displacement and temperature. The explicit and implicit schemes are constructed and solved numerically by two methods and the coincidence of the received results is shown.


Numerical Solution Of The Two-Dimensional Related Dynamic Problem Of Thermoelasticity For Isotropic Bodies, A.A Каlandarov Dec 2018

Numerical Solution Of The Two-Dimensional Related Dynamic Problem Of Thermoelasticity For Isotropic Bodies, A.A Каlandarov

Bulletin of Gulistan State University

The coupled dynamic thermoelastic problem is considered in the article. The considered boundary problem consists of the movement and heat equations correspondingly of hyperbolic and parabolic types, where the unknowns are displacement and temperature. The explicit and implicit schemes are constructed and solved numerically by two methods and the coincidence of the received results is shown.


Numerical Solution Of The Two-Dimensional Related Dynamic Problem Of Thermoelasticity For Isotropic Bodies, A.A Каlandarov Dec 2018

Numerical Solution Of The Two-Dimensional Related Dynamic Problem Of Thermoelasticity For Isotropic Bodies, A.A Каlandarov

Bulletin of Gulistan State University

The coupled dynamic thermoelastic problem is considered in the article. The considered boundary problem consists of the movement and heat equations correspondingly of hyperbolic and parabolic types, where the unknowns are displacement and temperature. The explicit and implicit schemes are constructed and solved numerically by two methods and the coincidence of the received results is shown.