The comparison of FD and RBFs collocation methods for the solution of the heat equation

The comparison of FD and RBFs collocation methods for the solution of the heat equation

Presenter(s)

Lijun Lin

Description

The heat equation is widely used in various fields such as in industry and medicine for thermal treatment of the tumor. In this work, we are going to use two different numerical methods to solve the heat equation. It is known that Finite Difference (FD) and Radial Basis Functions (RBFs) collocation methods are both trustworthy for solving heat equation. To show the difference between the two methods, we would like to display the comparison by the final results, the error between approximate solution and exact solution, and other parameters in those methods.

Publication Date

4-18-2018

Project Designation

Graduate Research

Primary Advisor

Muhammad Usman

Primary Advisor's Department

Mathematics

Keywords

Stander Symposium project

The comparison of FD and RBFs collocation methods for the solution of the heat equation

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