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Sensitivity of a Process for Heating Thin Metal Film Described by the Dual-Phase Lag Equation with Temperature-Dependent Thermophysical Parameters to Perturbations of Lag Times

Energies (Basel), 2024-05, Vol.17 (10), p.2252

2024

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Numerical Simulation of Thermal Processes in a Domain of Thin Metal Film Subjected to an Ultrashort Laser Pulse

Materials, 2018-10, Vol.11 (11), p.2116

2018

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Second-Order Dual Phase Lag Equation. Modeling of Melting and Resolidification of Thin Metal Film Subjected to a Laser Pulse

Mathematics (Basel), 2020-06, Vol.8 (6), p.999

2020

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Dual-phase lag equation. Stability conditions of a numerical algorithm based on the explicit scheme of the finite difference method

Journal of Applied Mathematics and Computational Mechanics, 2016-09, Vol.15 (3), p.89-96

2016

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Modelling of thin metal film heating using the dual-phase lag equation with temperature-dependent parameters

International journal of heat and mass transfer, 2023-08, Vol.209, p.124088, Article 124088

2023

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Implicit scheme of the finite difference method for 1D dual-phase lag equation

Journal of Applied Mathematics and Computational Mechanics, 2017-09, Vol.16 (3), p.37-46

2017

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Numerical model of thermal interactions between cylindrical cryoprobe and biological tissue using the dual-phase lag equation

International journal of heat and mass transfer, 2017-05, Vol.108, p.1-10

2017

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Numerical model of biological tissue heating using the models of bio–heat transfer with delays

E3S web of conferences, 2019, Vol.128, p.2002

2019

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First and second order dual phase lag equation. Numerical solution using the explicit and implicit schemes of the finite difference method

MATEC Web of Conferences, 2018, Vol.240, p.5018

2018

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Application of numerical methods for solving the non-fourier equations. A review of our own and collaborators’ works

Journal of Applied Mathematics and Computational Mechanics, 2018-06, Vol.17 (2), p.43-50

2018

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Dual-phase lag model of thermal processes in a multi-layered microdomain subjected to a strong laser pulse using the implicit scheme of FDM

International journal of thermal sciences, 2018-11, Vol.133, p.240-251

2018

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Cattaneo-Vernotte bioheat transfer equation. Stability conditions of numerical algorithm based on the explicit scheme of the finite difference method

Journal of Applied Mathematics and Computational Mechanics, 2016-12, Vol.15 (4), p.137-144

2016

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Numerical analysis of thermal processes in the system protective clothing - biological tissue subjected to an external heat flux

Journal of Applied Mathematics and Computational Mechanics, 2016-06, Vol.15 (2), p.85-93

2016

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3D model of thermal interactions between human forearm and environment

Journal of Applied Mathematics and Computational Mechanics, 2015-09, Vol.14 (3), p.17-23

2015

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Comparison of bio-heat transfer numerical models based on the Pennes and Cattaneo-Vernotte equations

Journal of Applied Mathematics and Computational Mechanics, 2016-12, Vol.15 (4), p.33-38

2016

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Hyperbolic model of thermal interactions in a system biological tissue-protective clothing subjected to an external heat source

Numerical heat transfer. Part A, Applications, 2018-12, Vol.74 (11), p.1685-1700

2018

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Numerical simulation of the heating process in the domain of tissue insulated by protective clothing

Journal of Applied Mathematics and Computational Mechanics, 2014-06, Vol.13 (2), p.13-20

2014

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Numerical solutions of the second-order dual-phase-lag equation using the explicit and implicit schemes of the finite difference method

International journal of numerical methods for heat & fluid flow, 2020-04, Vol.30 (4), p.2099-2120

2020

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Cattaneo-Vernotte equation. Identification of relaxation time using evolutionary algorithms

Journal of Applied Mathematics and Computational Mechanics, 2013-12, Vol.12 (4), p.97-102

2013

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Comparison of approaches to the numerical modelling of pure metals solidification using the control volume method

International journal of cast metals research (Online), 2019-07, Vol.32 (4), p.213-220

2019

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Simplified model of thermal interactions between environment, protective clothing and skin tissue

Journal of Applied Mathematics and Computational Mechanics, 2014-12, Vol.13 (4), p.91-96

2014

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Implicit scheme of the finite difference method for the second-order dual phase lag equation

Journal of Theoretical and Applied Mechanics (Warsaw), 2018-04, Vol.56 (2), p.393

2018

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Numerical modeling of thermal processes in the living tissue domain secured with a layer of protective clothing

Journal of Applied Mathematics and Computational Mechanics, 2014-03, Vol.13 (1), p.87-94

2014

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SENSITIVITY ANALYSIS OF TRANSIENT TEMPERATURE FIELD IN MICRODOMAINS WITH RESPECT TO THE DUAL-PHASE-LAG MODEL PARAMETERS

International journal for multiscale computational engineering, 2014, Vol.12 (1), p.65-77

2014

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Application of the Complex Variable Step Method and the Boundary Element Method for Sensitivity Analysis of Steady Heat Conduction Problems

Diffusion and defect data. Solid state data. Pt. A, Defect and diffusion forum, 2021-11, Vol.412, p.83-96

2021

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Sensitivity of a Process for Heating Thin Metal Film Described by the Dual-Phase Lag Equation with Temperature-Dependent Thermophysical Parameters to Perturbations of Lag Times

Numerical Simulation of Thermal Processes in a Domain of Thin Metal Film Subjected to an Ultrashort Laser Pulse

Second-Order Dual Phase Lag Equation. Modeling of Melting and Resolidification of Thin Metal Film Subjected to a Laser Pulse

Dual-phase lag equation. Stability conditions of a numerical algorithm based on the explicit scheme of the finite difference method

Modelling of thin metal film heating using the dual-phase lag equation with temperature-dependent parameters

Implicit scheme of the finite difference method for 1D dual-phase lag equation

Numerical model of thermal interactions between cylindrical cryoprobe and biological tissue using the dual-phase lag equation

Numerical model of biological tissue heating using the models of bio–heat transfer with delays

First and second order dual phase lag equation. Numerical solution using the explicit and implicit schemes of the finite difference method

Application of numerical methods for solving the non-fourier equations. A review of our own and collaborators’ works

Dual-phase lag model of thermal processes in a multi-layered microdomain subjected to a strong laser pulse using the implicit scheme of FDM

Cattaneo-Vernotte bioheat transfer equation. Stability conditions of numerical algorithm based on the explicit scheme of the finite difference method

Numerical analysis of thermal processes in the system protective clothing - biological tissue subjected to an external heat flux

3D model of thermal interactions between human forearm and environment

Comparison of bio-heat transfer numerical models based on the Pennes and Cattaneo-Vernotte equations

Hyperbolic model of thermal interactions in a system biological tissue-protective clothing subjected to an external heat source

Numerical simulation of the heating process in the domain of tissue insulated by protective clothing

Numerical solutions of the second-order dual-phase-lag equation using the explicit and implicit schemes of the finite difference method

Cattaneo-Vernotte equation. Identification of relaxation time using evolutionary algorithms

Comparison of approaches to the numerical modelling of pure metals solidification using the control volume method

Simplified model of thermal interactions between environment, protective clothing and skin tissue

Implicit scheme of the finite difference method for the second-order dual phase lag equation

Numerical modeling of thermal processes in the living tissue domain secured with a layer of protective clothing

SENSITIVITY ANALYSIS OF TRANSIENT TEMPERATURE FIELD IN MICRODOMAINS WITH RESPECT TO THE DUAL-PHASE-LAG MODEL PARAMETERS

Application of the Complex Variable Step Method and the Boundary Element Method for Sensitivity Analysis of Steady Heat Conduction Problems

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