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

Abdi Tadesse (PhD)Tezera Tesfu2018-07-192023-11-042018-07-192023-11-042015-06http://etd.aau.edu.et/handle/123456789/9312In 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 pointenfinite differenceexplicit schemeHeat equation in an insulated barGhost pointExplicit 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 endsThesis