Poster Session

Modified method of fundamental solutions for heat conduction problems.

Jaydev Dabas Dabas
Indian Institute of Technology Roorkee
India
Co-Author(s):    Surbhi Arora
Abstract:
In this study, we made an attempt to extend the modified method proposed by Rostamian and Shahrezaee, to a steady state anisotropic problem. The extension is applied to the two dimensional space and its performance is tested with the help of numerical experiments set on both convex and non-convex domains and the results obtained are analyzed. The modified technique overcomes the problem of fictitious boundary arising in standard MFS. The numerical experiments conducted, in combination with regularization, help us to establish the accuracy of the new scheme for both exact and noisy data.