3 papers
math.NA2025
A residual weighted physics informed neural network for forward and inverse problems of reaction diffusion equations
K. Murari, P. Roul, S. Sundar
In this work, we propose the Residual-Weighted Physics-Informed Neural Network (RW-PINN), a new method designed to enhance the accuracy of Physics-Informed Neural Network (PINN) ba…
math.NA2024
Physics informed neural network for forward and inverse radiation heat transfer in graded-index medium
K. Murari, S. Sundar
Radiation heat transfer in a graded-index medium often suffers accuracy problems due to the gradual changes in the refractive index. The finite element method, meshfree, and other…
physics.flu-dyn2024
A meshless geometric conservation weighted least square method for solving the shallow water equations
D. Satyaprasad, Soumendra Nath Kuiry, S. Sundar
The shallow water equations are numerically solved to simulate free surface flows. The convective flux terms in the shallow water equations need to be discretized using a Riemann s…