Loading [MathJax]/extensions/TeX/boldsymbol.js
\newcommand{\uex}{{u_{\small\mbox{e}}}}
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\newcommand{\xpoint}{\boldsymbol{x}}
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The algorithm
- Compute u^0_i=I(x_i) for i=0,\ldots,N_x
- Compute u^1_i by (10) and set u_i^1=0
for the boundary points i=0 and i=N_x , for n=1,2,\ldots,N-1 ,
- For each time level n=1,2,\ldots,N_t-1
- apply (9) to find u^{n+1}_i for i=1,\ldots,N_x-1
- set u^{n+1}_i=0 for the boundary points i=0 , i=N_x .
