Aims and scope

International Journal of Differential Equations publishes papers on differential equations, and related integral equations. The journal welcomes submissions not only from mathematicians, but from all scientists who use differential equations as tools within their own discipline.

As well as original research, International Journal of Differential Equations also publishes focused review articles that examine the state of the art, identify emerging trends, and suggest future directions for developing fields.

Special Issue on Next-Generation Mathematical Solving: Applied Mathematics in Action
提出日: 2026-11-30

Description

Mathematics is at the heart of innovation, powering solutions to some of the most complex challenges across science, engineering, and society. The Special Collection on “Next-Generation Mathematical Solving: Applied Mathematics in Action” invites contributions that highlight how advanced modelling, rigorous analysis, and solver design can transform real-world problem-solving. This initiative highlights research that goes beyond theory—delivering practical, measurable impacts through mathematical reasoning and computation. We welcome interdisciplinary approaches, creative modelling strategies, and studies that demonstrate the power of applied mathematics in driving progress across diverse domains.

This special collection invites contributions that represent the next generation of mathematical solving, integrating modelling, analysis, and solver design to address complex real-world problems. We aim to bring together studies that demonstrate how mathematical methods and solvers design can improve understanding, performance, and decision-making across disciplines. We particularly welcome contributions from early-career researchers, interdisciplinary teams, and those proposing creative modelling approaches to complex systems. This collection highlights researchers and practitioners who use applied mathematics not only to describe systems, but to deliver concrete, measurable solutions.

Whether your work addresses engineering or industrial systems, biological processes, social dynamics, or solving frameworks with practical implications, we are interested in research showing how mathematics enables progress through rigorous reasoning and effective computation. While data-driven and AI-based methods are relevant, the emphasis should remain on mathematical formulation, analysis, and solver development, rather than purely empirical outcomes.

This collection underscores the pivotal role of applied mathematics in solving real-world challenges through rigorous modelling and computation. By integrating advanced solver design with practical applications, it bridges theory and practice, enabling innovation across engineering, science, and industry. It offers a platform for interdisciplinary collaboration, fostering methods that enhance transparency, robustness, and scalability in mathematical problem-solving.

Potential topics include but are not limited to the following:

    Mathematical modelling and analysis of complex or dynamic systems
    Advances in optimization, simulation, and numerical computation
    Development and validation of efficient solvers and scalable algorithms
    Integration of mathematical and data-driven methodologies
    Uncertainty quantification, robustness, and sensitivity analysis
    Inverse problems and parameter estimation in mathematical models
    Numerical analysis and discretization techniques for complex systems
    Multi-objective and multi-scale modelling frameworks
    Methodological advances ensuring robustness and transparency in mathematical modelling
    Cross-disciplinary applications in logistics, engineering, biology, health, energy, or the environmental sciences

Editors

Lead Guest Editor

Md. Kamrujjaman1
1Department of Mathematics University of Dhaka Dhaka 1000, Bangladesh
Guest Editors

Deepali .1
1Wiley PRD, India