Numerical Solution of Differential Equations and Their Applications
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Difference and Differential Equations".
Deadline for manuscript submissions: 31 October 2024 | Viewed by 1333
Special Issue Editors
Interests: numerical analysis of differential equations; oscillatory/periodic initial/boundary value problems; computational physics
Interests: numerical analysis; development and analysis of numerical algorithms; numerical solution of initial/boundary value problems
Special Issue Information
Dear Colleagues,
"Numerical Solution of Differential Equations and Their Applications" is an upcoming Special Issue of Mathematics that aims to explore recent developments in numerical methods for solving differential equations, and their applications in various fields of science and engineering.
The topics of interest for this Special Issue include, but are not limited to:
- Numerical methods for solving ordinary differential equations (ODEs), including Runge–Kutta methods, multistep methods, collocation methods, etc.;
- Numerical methods for solving partial differential equations (PDEs), including finite element methods, finite difference methods, spectral methods, etc.;
- High-order numerical methods for differential equations, including spectral methods, spectral collocation methods, finite difference methods, etc.;
- Error analysis and convergence of numerical methods for differential equations, etc.;
- Applications of numerical methods for differential equations, including fluid dynamics, solid mechanics, electromagnetics, and other fields of science and engineering, etc.;
- Adaptive numerical methods for differential equations, including adaptive mesh refinement and adaptive time-stepping, etc.
This Special Issue invites original research articles and review articles that present novel ideas and developments in the numerical solution of differential equations and/or their applications in science and engineering. The aim is to provide a platform for researchers to share their latest findings and to stimulate further research in this exciting field. The guest editors welcome submissions that address the above topics or related areas and provide new insights and solutions to the challenges faced by researchers and practitioners.
Dr. Zacharias Anastassi
Dr. Athinoula A. Kosti
Dr. Mufutau Ajani Rufai
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
- numerical methods
- differential equations
- error analysis
- convergence
- applications
