3 papers
math.NA2024
Neural network Approximations for Reaction-Diffusion Equations -- Homogeneous Neumann Boundary Conditions and Long-time Integrations
Eddel Elí Ojeda Avilés, Jae-Hun Jung, Daniel Olmos Liceaga
Reaction-Diffusion systems arise in diverse areas of science and engineering. Due to the peculiar characteristics of such equations, analytic solutions are usually not available an…
math.NA2024
A Numerical Study of WENO Approximations to Sharp Propagating Fronts for Reaction-Diffusion Systems
Jiaxi Gu, Daniel Olmos-Liceaga, Jae-Hun Jung
Many reaction-diffusion systems in various applications exhibit traveling wave solutions that evolve on multiple spatio-temporal scales. These traveling wave solutions are crucial…
math.NA2021
A Chebyshev multidomain adaptive mesh method for Reaction-Diffusion equations
Jae-Hun Jung, Daniel Olmos-Liceaga
Reaction-Diffusion equations can present solutions in the form of traveling waves. Such solutions evolve in different spatial and temporal scales and it is desired to construct num…