Computational Approaches to Solving Differential Equations

A special issue of Computation (ISSN 2079-3197).

Deadline for manuscript submissions: closed (31 December 2023) | Viewed by 2318

Special Issue Editors


E-Mail Website
Guest Editor
Department of Mathematics, British University of Vietnam, Ecopark Campus, 160000 Hung Yen, Hanoi, Vietnam
Interests: mathematical modelling; differential equations; BVP
Special Issues, Collections and Topics in MDPI journals

E-Mail Website
Guest Editor
1. Department of Mathematics, School of Science and Technology, University of Évora, Rua Romão Ramalho, 59, 7000-671 Évora, Portugal
2. Center for Research in Mathematics and Applications (CIMA), Institute for Advanced Studies and Research (IIFA), University of Évora, Rua Romão Ramalho, 59, 7000-671 Évora, Portugal
Interests: differential and difference equations; dynamical systems; boundary value problems; topological and variational methods; fractional calculus; differential and integral equations
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Differential equations, whether ordinary or partial continue to be one of the main areas for research in the field of mathematics. With the increase in popularity of computational methods on mathematical modelling, new approaches and methods are now able to shed a new light on some of the outstanding problems in this area. Areas such as finance, with high frequency trading, computer science and networks with laplace transforms for high-speed connections and even social media with SIR models being applied to model information diffusion are bringing new and challenging problems for discussion.

This Special Issue aims at showcasing both computational and non-computational approaches to those problems, with a clear emphasis on the application aspect of these methods. 

Dr. João Fialho
Prof. Dr. Feliz Manuel Minhós
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Computation is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1800 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • ordinary differential equations
  • BVP
  • partial differential equations
  • mathematical modelling
  • computational methods
  • networks
  • social media information diffusion
  • random DE

Benefits of Publishing in a Special Issue

  • Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
  • Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
  • Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
  • External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
  • e-Book format: Special Issues with more than 10 articles can be published as dedicated e-books, ensuring wide and rapid dissemination.

Further information on MDPI's Special Issue polices can be found here.

Published Papers (1 paper)

Order results
Result details
Select all
Export citation of selected articles as:

Research

15 pages, 1448 KiB  
Article
Modeling and Simulating an Epidemic in Two Dimensions with an Application Regarding COVID-19
by Khalaf M. Alanazi
Computation 2024, 12(2), 34; https://doi.org/10.3390/computation12020034 - 12 Feb 2024
Cited by 2 | Viewed by 1787
Abstract
We derive a reaction–diffusion model with time-delayed nonlocal effects to study an epidemic’s spatial spread numerically. The model describes infected individuals in the latent period using a structured model with diffusion. The epidemic model assumes that infectious individuals are subject to containment measures. [...] Read more.
We derive a reaction–diffusion model with time-delayed nonlocal effects to study an epidemic’s spatial spread numerically. The model describes infected individuals in the latent period using a structured model with diffusion. The epidemic model assumes that infectious individuals are subject to containment measures. To simulate the model in two-dimensional space, we use the continuous Runge–Kutta method of the fourth order and the discrete Runge–Kutta method of the third order with six stages. The numerical results admit the existence of traveling wave solutions for the proposed model. We use the COVID-19 epidemic to conduct numerical experiments and investigate the minimal speed of spread of the traveling wave front. The minimal spreading speeds of COVID-19 are found and discussed. Also, we assess the power of containment measures to contain the epidemic. The results depict a clear drop in the spreading speed of the traveling wave front after applying containment measures to at-risk populations. Full article
(This article belongs to the Special Issue Computational Approaches to Solving Differential Equations)
Show Figures

Figure 1

Back to TopTop