Partial Differential Equations with Applications: Analytical Methods, 2nd Edition
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Difference and Differential Equations".
Deadline for manuscript submissions: 31 May 2025 | Viewed by 48
Special Issue Editors
Interests: partial differential equations; ordinary differential equations; solutions of differential equations; applications to differential equations
Special Issues, Collections and Topics in MDPI journals
Interests: nonlinear differential equations; Lie symmetry method; closed-form solutions; conservation laws; mathematical physics; analytical solution methods
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Differential equations are essential to describe a real-world system as a mathematical model. In particular, partial differential equations are used extensively in physics and engineering, where the problems involve functions of several variables, such as the propagation of heat or sound, fluid flow, elasticity, etc.
In recent years, several methods have been developed to find analytical solutions to partial differential equations. Currently, symmetry methods are intensively applied to solve partial differential equations, thereby obtaining exact analytic solutions.
Moreover, identifying conservation laws or conserved quantities plays an important role in the solution of a problem.
Furthermore, there has been considerable research in Painlevé-type equations since 1980. Specifically, the Painlevé tests are remarkable in their ability to predict whether an equation is integrable.
The aim of this Special Issue is to show recent advances in the theory of partial differential equations, as well as applications to scientific problems.
As the title suggests, this Special Issue is a continuation of the Special Issue “Partial Differential Equations with Applications: Analytical Methods”, which has successfully included some excellent papers. We hope that this new Special Issue will attract the attention of more scholars who wish to publish their interesting insights.
Prof. Dr. Almudena del Pilar Marquez Lozano
Prof. Dr. Chaudry Masood Khalique
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. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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
- partial differential equations
- ordinary differential equations
- mathematical model
- analytical solutions
- solution techniques
- Lie symmetries
- conservation laws
- symmetry methods
- Painlevé properties
- Painlevé test
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.
