For possion equation $$u_{xx}+u_{yy}=f$$(adsbygoogle = window.adsbygoogle || []).push({});

I know the general five point scheme is in the form

$$a_{1}U_{i,j-1}+a_{2}U_{i-1,j}+a_{3}U_{i,j}+a_{4}U_{i+1,j}+a_{5}U_{i,j+1}=f_{i,j}$$

But , is there have the form

$$a_{1}U_{i-1,j-1}+a_{2}U_{i-1,j+1}+a_{3}U_{i,j}+a_{4}U_{i+1,j+1}+a_{5}U_{i+1,j-1}=f_{i,j}$$?

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# Five point scheme Finite Difference Method

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