Partial Differential Equations with Applications
Differential equations are essential for describing a real-world system as a mathematical model. Particularly, it is well known that partial differential equations are used extensively in physics and engineering, where problems involve functions of several variables, such as the propagation of heat...
সংরক্ষণ করুন:
| বিন্যাস: | Online |
|---|---|
| ভাষা: | ইংরেজি |
| প্রকাশিত: |
MDPI - Multidisciplinary Digital Publishing Institute
2025
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| বিষয়গুলি: | |
| অনলাইন ব্যবহার করুন: | ONIX_20250220_9783725826834_388 |
| ট্যাগগুলো: |
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| _version_ | 1869527621324242944 |
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| collection | Directory of Open Access Books |
| description | Differential equations are essential for describing a real-world system as a mathematical model. Particularly, it is well known that partial differential equations are used extensively in physics and engineering, where problems involve functions of several variables, such as the propagation of heat or sound, fluid flow, elasticity, etc. Over the last few years, a wide variety of methods have been developed to find analytical solutions to partial differential equations. Currently, symmetry methods are intensively applied to solve partial differential equations obtaining exact analytic solutions. Additionally, finding conservation laws or conserved quantities plays an important role in the solution of a problem. Furthermore, there has been considerable research on Painlevé-type equations since 1980. Specifically, Painlevé tests have been shown to be remarkable in their ability to predict whether an equation is integrable. |
| format | Online |
| id | doab-20.500.12854ir-153024 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2025 |
| publishDateRange | 2025 |
| publishDateSort | 2025 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1530242025-02-20T13:26:42Z Partial Differential Equations with Applications Pilar Marquez Lozano, Almudena del Semenov, Vladimir Iosifovich partial differential equations ordinary differential equations mathematical model analytical solutions solution techniques Lie symmetries conservation laws symmetry methods Painlevé properties test thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Differential equations are essential for describing a real-world system as a mathematical model. Particularly, it is well known that partial differential equations are used extensively in physics and engineering, where problems involve functions of several variables, such as the propagation of heat or sound, fluid flow, elasticity, etc. Over the last few years, a wide variety of methods have been developed to find analytical solutions to partial differential equations. Currently, symmetry methods are intensively applied to solve partial differential equations obtaining exact analytic solutions. Additionally, finding conservation laws or conserved quantities plays an important role in the solution of a problem. Furthermore, there has been considerable research on Painlevé-type equations since 1980. Specifically, Painlevé tests have been shown to be remarkable in their ability to predict whether an equation is integrable. 2025-02-20T13:26:40Z 2025-02-20T13:26:40Z 2024 book ONIX_20250220_9783725826834_388 9783725826834 9783725826841 https://directory.doabooks.org/handle/20.500.12854/153024 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/10218 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-7258-2684-1 10.3390/books978-3-7258-2684-1 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783725826834 9783725826841 180 Basel open access |
| spellingShingle | partial differential equations ordinary differential equations mathematical model analytical solutions solution techniques Lie symmetries conservation laws symmetry methods Painlevé properties test thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Partial Differential Equations with Applications |
| title | Partial Differential Equations with Applications |
| title_full | Partial Differential Equations with Applications |
| title_fullStr | Partial Differential Equations with Applications |
| title_full_unstemmed | Partial Differential Equations with Applications |
| title_short | Partial Differential Equations with Applications |
| title_sort | partial differential equations with applications |
| topic | partial differential equations ordinary differential equations mathematical model analytical solutions solution techniques Lie symmetries conservation laws symmetry methods Painlevé properties test thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | partial differential equations ordinary differential equations mathematical model analytical solutions solution techniques Lie symmetries conservation laws symmetry methods Painlevé properties test thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20250220_9783725826834_388 |