- #1

- 27

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## Homework Statement

how to do taylor expansion for f

_{m+1}

^{n+1}; f(t,x) with sub script m+1 and a super script n+1

## Homework Equations

I know how to do taylor expansion for f

_{m+1}and f

^{n+1}, but not f

_{m+1}

^{n+1}

- Thread starter oxxiissiixxo
- Start date

- #1

- 27

- 0

how to do taylor expansion for f

I know how to do taylor expansion for f

- #2

- 290

- 2

Can you explain what you mean by f_{m+1}^{n+1}

- #3

- 27

- 0

For forward in time, a partial derivative of time (df/dt)will be rewrite as [(f_m with a superscript n+1) - (f_m with a superscript n)]/(delta t)

Similarly, if i want to do forward differencing in space, df/dx can be rewrite as [(f_m+1 with a superscript n) - (f_m with a superscript n)]/(delta x)

I know how to do taylor expansion for (f_m+1 with a superscript n) around (f_m with a superscript n) and taylor expansion for (f_m with a superscript n+1) around (f_m with a superscript n). However, I do not know how to deal with f_m+1 with a superscript n+1. How should i do the taylor expansion. Thank you!

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