This paper presents a new approach for finding exact solutions to certain classes of nonlinear partial differential equations (NLPDEs) by combining the variation of parameters method with classical ...
Physics-informed neural networks (PINNs) have enabled significant improvements in modelling physical processes described by partial differential equations (PDEs) and are in principle capable of ...
RUDN mathematicians developed a universal software package to study and solve complex nonlinear differential equations and their systems. The development may come useful in hydrodynamics, gas dynamics ...
Whether it's physical phenomena, share prices or climate models—many dynamic processes in our world can be described mathematically with the aid of partial differential equations. Thanks to ...
Reproducing kernel Hilbert space method is utilized in this paper as an efficient approach to solve singular fourth order ...
My research projects in the area of nonlinear systems deal with finding dc operating points, steady state, and transient responses of electronic circuits. These are essential tasks in electrical ...
Chaotic circuits can arise from either computed (using Analog Computers or Digital Computers) solutions to coupled differential equations or from unstable systems/circuits. A new open-source circuit ...
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