Discrete group method for a mathematical model of the diffusion in swelling gelatin
In this article, we will introduce the mathematical model of the diffusion process in a swelling medium that has already been modeled. The main purpose of this paper is introducing a new class of group transformations for solving the nonlinear emulsion equation. Thus, we introduce this method as th...
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2024-02-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://jau.vgtu.lt/index.php/MMA/article/view/17193 |
| _version_ | 1797299950578565120 |
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| author | Parviz Darania |
| author_facet | Parviz Darania |
| author_sort | Parviz Darania |
| collection | DOAJ |
| description |
In this article, we will introduce the mathematical model of the diffusion process in a swelling medium that has already been modeled. The main purpose of this paper is introducing a new class of group transformations for solving the nonlinear emulsion equation. Thus, we introduce this method as the discrete group methods based on solvable class orbits. One of the crucial advantages of this method is that a transformation is sought, which reduces the equation being investigated to some standard form for which the methods of integration are known. In developing this approach, one may construct all canonical forms of solvable equations.
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| first_indexed | 2024-03-07T22:58:13Z |
| format | Article |
| id | doaj.art-5a4f260ad53045b38313e5a1b75c4c8a |
| institution | Directory Open Access Journal |
| issn | 1392-6292 1648-3510 |
| language | English |
| last_indexed | 2024-03-07T22:58:13Z |
| publishDate | 2024-02-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj.art-5a4f260ad53045b38313e5a1b75c4c8a2024-02-22T16:24:14ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102024-02-0129110.3846/mma.2024.17193Discrete group method for a mathematical model of the diffusion in swelling gelatinParviz Darania0Department of Mathematics, Faculty of Science, Urmia University, P.O.Box 165 Urmia, Iran In this article, we will introduce the mathematical model of the diffusion process in a swelling medium that has already been modeled. The main purpose of this paper is introducing a new class of group transformations for solving the nonlinear emulsion equation. Thus, we introduce this method as the discrete group methods based on solvable class orbits. One of the crucial advantages of this method is that a transformation is sought, which reduces the equation being investigated to some standard form for which the methods of integration are known. In developing this approach, one may construct all canonical forms of solvable equations. https://jau.vgtu.lt/index.php/MMA/article/view/17193gelatin swellingmathematical modeldiscrete group methodEmden-Fowler equationAbel equations |
| spellingShingle | Parviz Darania Discrete group method for a mathematical model of the diffusion in swelling gelatin Mathematical Modelling and Analysis gelatin swelling mathematical model discrete group method Emden-Fowler equation Abel equations |
| title | Discrete group method for a mathematical model of the diffusion in swelling gelatin |
| title_full | Discrete group method for a mathematical model of the diffusion in swelling gelatin |
| title_fullStr | Discrete group method for a mathematical model of the diffusion in swelling gelatin |
| title_full_unstemmed | Discrete group method for a mathematical model of the diffusion in swelling gelatin |
| title_short | Discrete group method for a mathematical model of the diffusion in swelling gelatin |
| title_sort | discrete group method for a mathematical model of the diffusion in swelling gelatin |
| topic | gelatin swelling mathematical model discrete group method Emden-Fowler equation Abel equations |
| url | https://jau.vgtu.lt/index.php/MMA/article/view/17193 |
| work_keys_str_mv | AT parvizdarania discretegroupmethodforamathematicalmodelofthediffusioninswellinggelatin |