Numerical and Analytical Methods for Differential Equations and Systems

Dear Colleagues,

The theory and applications of differential equations have played an essential role both in the development of mathematics and in exploring new horizons in science. From a theoretical viewpoint, the qualitative theory of differential equations as well as analytical methods have contributed to the development of many new mathematical ideas and methodologies for solving ordinary and partial differential equations as well as systems of differential equations. From the viewpoint of applications, differential equations are crucially important for modeling any kind of dynamical systems or processes in real life. Even when analytical methods cannot be used, numerical methods are crucially important for investigating differential equations and understanding their structure to obtain approximations for their solutions.

Differential equations enable mathematics to be associated with other disciplines such as science, medicine, and engineering, since real-life problems in these fields give rise to differential equations which can only be solved using mathematics. Topics related to the theoretical and numerical aspects of differential equations have been undergoing tremendous development for decades. Numerical investigations in particular have played a decisive role in dynamical systems, control theory, and optimization, to name but a few areas. Important applications of differential equations have been found in physics, biology, chemistry, medicine, and engineering, and more recently in the development of new technologies. Therefore, the investigation and application of numerical and analytical methods to modern problems will be of immense value in many fields of study.

The aim of this Special Issue is to gather a collection of high-quality articles reflecting the current state of the art in the abovementioned topics. We welcome review and research papers covering any interesting developments related to these topics.

Dr. Burcu Gürbüz
Dr. Arran Fernandez
Guest Editors

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