Differential Equation Models in Applied Mathematics
The present book contains the articles published in the Special Issue “Differential Equation Models in Applied Mathematics: Theoretical and Numerical Challenges” of the MDPI journal Mathematics. The Special Issue aimed to highlight old and new challenges in the formulation, solution, understanding,...
שמור ב:
| פורמט: | Online |
|---|---|
| שפה: | אנגלית |
| יצא לאור: |
MDPI - Multidisciplinary Digital Publishing Institute
2022
|
| נושאים: | |
| גישה מקוונת: | ONIX_20220224_9783036530116_123 |
| תגים: |
אין תגיות, היה/י הראשונ/ה לתייג את הרשומה!
|
| _version_ | 1869521873750982656 |
|---|---|
| collection | Directory of Open Access Books |
| description | The present book contains the articles published in the Special Issue “Differential Equation Models in Applied Mathematics: Theoretical and Numerical Challenges” of the MDPI journal Mathematics. The Special Issue aimed to highlight old and new challenges in the formulation, solution, understanding, and interpretation of models of differential equations (DEs) in different real world applications. The technical topics covered in the seven articles published in this book include: asymptotic properties of high order nonlinear DEs, analysis of backward bifurcation, and stability analysis of fractional-order differential systems. Models oriented to real applications consider the chemotactic between cell species, the mechanism of on-off intermittency in food chain models, and the occurrence of hysteresis in marketing. Numerical aspects deal with the preservation of mass and positivity and the efficient solution of Boundary Value Problems (BVPs) for optimal control problems. I hope that this collection will be useful for those working in the area of modelling real-word applications through differential equations and those who care about an accurate numerical approximation of their solutions. The reading is also addressed to those willing to become familiar with differential equations which, due to their predictive abilities, represent the main mathematical tool for applying scenario analysis to our changing world. |
| format | Online |
| id | doab-20.500.12854ir-78825 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2022 |
| publishDateRange | 2022 |
| publishDateSort | 2022 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-788252024-03-28T03:32:20Z Differential Equation Models in Applied Mathematics Diele, Fasma epidemic models backward bifurcation hysteresis referral marketing self-information multi-domain network transmission conditions finite difference schemes chemotaxis reaction-diffusion models fractional differential equations stability linear systems multi-order systems Mittag–Leffler function on–off intermittency dynamical systems theoretical ecology stochastic forcing hastings-powell model food chain Sobolev type equation inverse problem high-order equation method of successive approximations polynomial boundedness of operator pencils fourth-order differential equations neutral delay oscillation optimal control indirect methods boundary value problems n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science The present book contains the articles published in the Special Issue “Differential Equation Models in Applied Mathematics: Theoretical and Numerical Challenges” of the MDPI journal Mathematics. The Special Issue aimed to highlight old and new challenges in the formulation, solution, understanding, and interpretation of models of differential equations (DEs) in different real world applications. The technical topics covered in the seven articles published in this book include: asymptotic properties of high order nonlinear DEs, analysis of backward bifurcation, and stability analysis of fractional-order differential systems. Models oriented to real applications consider the chemotactic between cell species, the mechanism of on-off intermittency in food chain models, and the occurrence of hysteresis in marketing. Numerical aspects deal with the preservation of mass and positivity and the efficient solution of Boundary Value Problems (BVPs) for optimal control problems. I hope that this collection will be useful for those working in the area of modelling real-word applications through differential equations and those who care about an accurate numerical approximation of their solutions. The reading is also addressed to those willing to become familiar with differential equations which, due to their predictive abilities, represent the main mathematical tool for applying scenario analysis to our changing world. 2022-02-24T10:37:49Z 2022-02-24T10:37:49Z 2022 book ONIX_20220224_9783036530116_123 9783036530116 9783036530109 https://directory.doabooks.org/handle/20.500.12854/78825 eng image/jpeg Attribution 4.0 International https://mdpi.com/books/pdfview/book/4920 https://mdpi.com/books/pdfview/book/4920 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-3011-6 10.3390/books978-3-0365-3011-6 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036530116 9783036530109 152 Basel open access |
| spellingShingle | epidemic models backward bifurcation hysteresis referral marketing self-information multi-domain network transmission conditions finite difference schemes chemotaxis reaction-diffusion models fractional differential equations stability linear systems multi-order systems Mittag–Leffler function on–off intermittency dynamical systems theoretical ecology stochastic forcing hastings-powell model food chain Sobolev type equation inverse problem high-order equation method of successive approximations polynomial boundedness of operator pencils fourth-order differential equations neutral delay oscillation optimal control indirect methods boundary value problems n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Differential Equation Models in Applied Mathematics |
| title | Differential Equation Models in Applied Mathematics |
| title_full | Differential Equation Models in Applied Mathematics |
| title_fullStr | Differential Equation Models in Applied Mathematics |
| title_full_unstemmed | Differential Equation Models in Applied Mathematics |
| title_short | Differential Equation Models in Applied Mathematics |
| title_sort | differential equation models in applied mathematics |
| topic | epidemic models backward bifurcation hysteresis referral marketing self-information multi-domain network transmission conditions finite difference schemes chemotaxis reaction-diffusion models fractional differential equations stability linear systems multi-order systems Mittag–Leffler function on–off intermittency dynamical systems theoretical ecology stochastic forcing hastings-powell model food chain Sobolev type equation inverse problem high-order equation method of successive approximations polynomial boundedness of operator pencils fourth-order differential equations neutral delay oscillation optimal control indirect methods boundary value problems n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | epidemic models backward bifurcation hysteresis referral marketing self-information multi-domain network transmission conditions finite difference schemes chemotaxis reaction-diffusion models fractional differential equations stability linear systems multi-order systems Mittag–Leffler function on–off intermittency dynamical systems theoretical ecology stochastic forcing hastings-powell model food chain Sobolev type equation inverse problem high-order equation method of successive approximations polynomial boundedness of operator pencils fourth-order differential equations neutral delay oscillation optimal control indirect methods boundary value problems n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20220224_9783036530116_123 |