Numerical Analysis of Differential Equations with Applications
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Computational and Applied Mathematics".
Deadline for manuscript submissions: 10 August 2025 | Viewed by 84
Special Issue Editor
Interests: computational fluid dynamics; multi-phase fluid flows; phase-field model; mathematical biology; computational economics; epidemic modeling; efficient numerical methods to PDE and ODE; normalized time-fractional partial differential equation; adaptive numerical methods; 3D printing; image processing; shape transformation
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Special Issue Information
Dear Colleagues,
Differential equations are central to modeling and understanding complex phenomena across a wide range of disciplines, including physics, engineering, biology, and finance. Analytical solutions are often impractical or impossible for many such equations, especially those involving high-dimensional, non-linear, or time-dependent components. This challenge has motivated significant advancements in numerical methods, which offer powerful tools for approximating and visualizing solutions, and analyzing complex differential models with increasing accuracy and efficiency.
This Special Issue invites research works that explore the development and application of numerical techniques for differential equations. Potential topics include, but are not limited to:
- Mathematical modelling for differential equations;
- New theoretical advances in numerical analysis for differential equations;
- Novel high-order methods for solving ordinary and partial differential equations;
- Techniques for solving non-linear and high-dimensional differential systems;
- Numerical approaches for differential equations in applied fields;
- Computational challenges and solutions in real-world differential modeling;
- Applications of differential equation models in scientific and industrial contexts;
- Review of recent advances for differential equations.
We look forward to your valuable contributions to this Special Issue, aiming to advance the understanding and application of numerical methods in differential equations.
Prof. Dr. Junseok Kim
Guest Editor
Manuscript Submission Information
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Keywords
- mathematical models for ordinary differential equations
- mathematical methods for partial differential equations
- numerical methods for ordinary differential equations
- numerical methods for partial differential equations
- existence analysis for differential equations
- convergence analysis for differential equations
- computational experiments for differential equations
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