Special Session 135: Latest Developments in Computational Methods for Differential Equations Arising in Fluid Dynamics with Multi-scale and Boundary Layer Behaviour

Singularly Perturbed Differential Equations on a Graph Domain

Vivek Kumar Aggarwal
Delhi Technological University
India
Co-Author(s):    
Abstract:
In this talk, singularly perturbed convection dominant and reaction diffusion problems will be discussed on a graph domain. Challenges (such as Kirchhoff`s conditions, continuity conditions) related to the graph domain will be taken care. Some problems on a tripod is solved numerically and in closed form for the validation of the proposed method. A general graph is also discussed along with a diamond graph for singularly perturbed problems. Error estimated have also been done.