Abstract:
In this thesis finite difference method interpolation of one dimensional heat equation by Richardson differed approach to the limit was explored. The purpose of this interpolation is computing
non nodal solutions of finite difference method by discretizing grid lengths and finding graphical
solution of polynomial obtained by them. Finally, the output is to find amount of temperature
in different parts of melting ice. Explicit and implicit finite difference schemesare provided for
graphical solutions with Mat lab software.
Key words: Interpolation, Richardson’s differed approach, discretization, non-nodal solution,
material property, dimension
