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PDE: Parabolic equation - explicit method

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u = f(x_j, y_i)\ then \frac{\partial u}{\partial x}

by forward difference is given by

a:

\frac{u_{i+1,j} - u_{i,j}}{h}

Explanation

Explanation

b:

\frac{u_{i-1,j} - u_{i,j}}{h}

Explanation

Explanation

c:

\frac{u_{i,j} - u_{i,j-1}}{h}

Explanation

Explanation

d:

\frac{u_{i,j+1} - u_{i,j}}{h}

Explanation

Explanation

u = f(x_j, y_i)\ then \frac{\partial u}{\partial x}

by backward difference is given by

a:

\frac{u_{i,j} - u_{i,j-1}}{h}

Explanation

Explanation

b:

\frac{u_{i-1,j} - u_{i,j}}{h}

Explanation

Explanation

c:

\frac{u_{i+1,j} - u_{i,j}}{h}

Explanation

Explanation

d:

\frac{u_{i,j+1} - u_{i,j}}{h}

Explanation

Explanation

u = f(x_j, y_i)\ then \frac{\partial u}{\partial x}

by central difference is given by

a:

\frac{u_{i,j} - u_{i,j-1}}{h}

Explanation

Explanation

b:

\frac{u_{i,j+1} - u_{i,j}}{h}

Explanation

Explanation

c:

\frac{u_{i,j+1} - u_{i,j-1}}{2h}

Explanation

Explanation

d:

\frac{u_{i-1,j} - u_{i,j}}{h}

Explanation

Explanation

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