Submission Deadline: 31 March 2025 View: 107 Submit to Special Issue
The numerous applications of differential equations (including integer/fractional order) in various branches of Science and Engineering, such as diffusion, electrodynamics, control theory, structural engineering, biophysics, etc., make the study of differential equations an essential aspect of applicable mathematics. The modelling of many physical phenomena is done through differential equations, and all these models carry a great importance and appealing aspect of describing the physical world around us.
In nature, some challenging geometries, nonlinearities, and complex systems of equations are frequently encountered. Often, the analytical approach fails to deal with such complicated problems, which must be addressed using appropriate numerical techniques. High-order accuracy is a prominent research focus in numerical analysis of the differential equations. In order to achieve reliable solutions, particular strategies are required as well as robust algorithms with parallelization approaches in simulations in order to reduce computing time and cost.
From this point of view, this special issue will focus on the development of mathematical models from real-time physical phenomena, constructing robust higher-order numerical techniques for solving them in a broader sense and emphasizing real-time applications.
Key Topics:
● Numerical analysis for differential equations
● Scientific computing for dynamical systems
● Integer/fractional order differential equations
● Applications of differential equations
● Robust computational methods
● Bifurcation analysis and dynamical systems
● Control theory
● Nonlinear dynamics
● Fluid dynamics
● Water wave problems
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