Applications of Differential Equations for Mathematical Modelling in Engineering
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C1: Difference and Differential Equations".
Deadline for manuscript submissions: closed (20 December 2025) | Viewed by 1856
Special Issue Editor
Interests: non-linear dynamical systems; fractional calculus; fractal geometry; econophysics; artificial intelligence; evolutionary computing; pattern recognition; deep learning; THz communication systems; post-quantum cryptography
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Differential equations play a fundamental role in mathematical modelling across various engineering disciplines, providing essential tools for analysing dynamic systems, optimizing processes, and predicting real-world behaviour.
This Special Issue aims to bring together innovative research contributions that showcase the application of ordinary, coupled, partial, and fractional differential equations in engineering.
We invite original research articles, comprehensive reviews, and case studies that demonstrate how differential equations are employed to solve complex engineering problems.
Topics of interest include, but are not limited to, the following:
- Ordinary Differential Equations (ODEs) in control systems, fluid mechanics, and signal processing.
- Partial Differential Equations (PDEs) for modelling heat transfer, wave propagation, and material deformation.
- Coupled differential equations in multi-physics and multi-scale engineering systems.
- Fractional Differential Equations (FDEs) in viscoelastic materials, anomalous diffusion, and nonlocal mechanics.
- Computational and numerical approaches for solving differential equation models in engineering applications.
- Optimization and stability analysis of engineering systems using differential equations.
This Special Issue will serve as a platform for researchers to explore the latest advancements in differential equation-based mathematical modelling, bridging the gap between theoretical development and engineering applications.
We welcome contributions from diverse engineering fields, including mechanical, civil, electrical, chemical, and biomedical engineering, for example.
By highlighting novel methodologies and real-world applications, this Special Issue aims to foster interdisciplinary collaboration and provide new insights into the role of differential equations in engineering innovation.
Prof. Dr. Jonathan Blackledge
Guest Editor
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 250 words) can be sent to the Editorial Office for assessment.
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
- ordinary, coupled, partial, and fractional differential equations
- mathematical modelling
- engineering applications
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.
- Reprint: MDPI Books provides the opportunity to republish successful Special Issues in book format, both online and in print.
Further information on MDPI's Special Issue policies can be found here.
