Reproducing kernel Hilbert space method is utilized in this paper as an efficient approach to solve singular fourth order ...

Data-driven discovery of partial differential equations (PDEs) is a promising approach for uncovering the underlying laws governing complex systems. However, purely data-driven techniques face the ...

Compartment models have been proposed in the 1920s as a model for the spread of an infectious disease in a society, in a famous article by Kermack and ...

Physics informed neural networks (PINNs), a type of machine learning approach, can be used to find the solution of differential equations by including all of the physics into the loss function and ...

Mathematicians finally understand the behavior of an important class of differential equations that describe everything from water pressure to oxygen levels in human tissues. The trajectory of a storm ...

Calculation: A representation of a network of electromagnetic waveguides (left) being used to solve Dirichlet boundary value problems. The coloured diagrams at right represent the normalized ...

NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations: Check here the detailed solutions to the textbook questions of NCERT Class 12 Maths Chapter 9 for the CBSE Board Exam 2025. NCERT ...