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
Mathematics Project Topics
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In this project report, explicit ffnite di_erence scheme for the linear heatrnequation in an insulated bar in one space dimension is considered. Thisrnmethod is used to solve the partial derivatives in the partial di_erential equationsrnat each grid point that are derived from neighboring values by usingrnTaylors theorem . The forward - time centered - space(FTCS) and explicitrnschemes are developed. To find the boundary equations of the schemes ghostrnpoints are introduced in central di_erence approximation . The MATLABrnimplementation allow the readers to experiment with the stability limit ofrnthe forward time , centered space(FTCS)schemesrnkey words- finite diference, explicit scheme, heat equation in an insulatedrnbar , Ghost point
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