Numerical Modeling of a Propagation Process Using (Mpdx) Matrix Associated to Second Order Partial Diferential Equations with Two Independent Variables

Author:

Mesaros Diana1,Colosi T.2,Silaghi A.M.3,Kovendi Z.1,Pǎcalǎ A.1

Affiliation:

1. Control Systems Engineering Department , University of Oradea , Str. Universităţii nr. 1 , Oradea , Romania

2. Automation Department , Technical University Cluj-Napoca , Str Memorandumului nr.28 Cluj-Napoca , Romania

3. Electrical Engineering Department , University of Oradea , Str. Universităţii nr. 1 , Oradea , Romania

Abstract

Abstract This paper presents a preliminary version of case study for propagation process using Matrix of Partial Derivatives of the State Vector (Mpdx) Method associated to second order Partial Differential Equations with two Independent Variables and Approximating Solutions. Considering a thermally insulated layer of a specific thickness exposed on the upper part to a constant overtemperature with a uniform distribution over the entire heat transfer surface, using numerical modeling are emphasized some interpretation variants for evolution of processed signals for possible applications.

Publisher

Walter de Gruyter GmbH

Subject

General Medicine

Reference10 articles.

1. [1] T. Coloşi, M. L. Ungureşan, E. H. Dulf, R. C. Cordoș, “Introduction to Analogical Modeling and Numerical Simulation with (Mpdx) and Taylor Series Distributed Parameters Processes”, Editura Galaxia Gutenberg, Cluj-Napoca, Romania, 2009

2. [2] Coloşi T., Abrudean M., Dulf E., Ungureşan M. L., „Numerical Modelling and Simulation Method with Taylor Series for Lumped and Distributed Parameters Processes“, Editura Mediamira, Cluj-Napoca, ISBN: (10) 973-713-108-8; (13) 978-973-713-108-9, 2006, p. 165

3. [3] T. Coloși, M. Abrudean, V. Mureșan, I. Clitan, D. Sas, M.-L. Ungureșan, „Extension of Mpdx matrix for 4th order partial differential equations with two independent variables“, 2018 IEEE International Conference on Automation, Quality and Testing, Robotics (AQTR), Cluj-Napoca, Romania, Electronic ISBN: 978-1-5386-2205-610.1109/AQTR.2018.8402789

4. [4] T. Coloși, D. Sas, M. Man Dietrich, I. Clitan, Z. Kovendi, L. Coroiu, „Extension of Mpdx Matrix for upper order Partial Diferential Equations with two Independent Variables and Approximating Solutions”, IEEE 2019 15th International Conference on Engineering of Modern Electric Systems (EMES) Oradea, Romania, Electronic ISBN: 978-1-7281-0773-810.1109/EMES.2019.8795214

5. [5] I Clitan, T Colosi, ML Unguresan, A Codoban, MR Abrudan, “Deformable exponential functions. Case study on propagation phenomena”, 2020 IEEE International Conference on Automation, Quality and Testing, Robotics (AQTR), pp. 1-6.10.1109/AQTR49680.2020.9130025

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