Explicit finite Difference Schemes using Ghost points for the heat equation with insulated ends Explicit finite Difierence Schemes using Ghost points for the heat equation with insulated ends
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Date
2015-06
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Addis Ababa University
Abstract
In this project report, explicit ffnite di_erence scheme for the linear heat
equation in an insulated bar in one space dimension is considered. This
method is used to solve the partial derivatives in the partial di_erential equations
at each grid point that are derived from neighboring values by using
Taylors theorem . The forward - time centered - space(FTCS) and explicit
schemes are developed. To find the boundary equations of the schemes ghost
points are introduced in central di_erence approximation . The MATLAB
implementation allow the readers to experiment with the stability limit of
the forward time , centered space(FTCS)schemes
key words- finite diference, explicit scheme, heat equation in an insulated
bar , Ghost point
Description
Keywords
finite difference, explicit scheme, Heat equation in an insulated bar, Ghost point