Mixing
I need to solve differential equation 4th order to a difference equation using central differencing method?
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I know the below equation is the solution but don't know how to obtain it using central differencing scheme. I tried solving it using 2nd order central differencing but still not able to get the below solution
$$F^{(4)}(x) = frac{ F(x) - 4F(x + h) + 6F(x + 2h) - 4F(x + 3h) + F(x + 4h) }{ h^4} $$
derivatives
edited Jan 7 at 10:45
user376343
3,3933826
asked Jan 7 at 9:19
Sentthil Kumar NJSentthil Kumar NJ
11
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add a comment |
$begingroup$
I know the below equation is the solution but don't know how to obtain it using central differencing scheme. I tried solving it using 2nd order central differencing but still not able to get the below solution
$$F^{(4)}(x) = frac{ F(x) - 4F(x + h) + 6F(x + 2h) - 4F(x + 3h) + F(x + 4h) }{ h^4} $$
derivatives
edited Jan 7 at 10:45
user376343
3,3933826
asked Jan 7 at 9:19
Sentthil Kumar NJSentthil Kumar NJ
11
$endgroup$
$begingroup$
Welcome to MSE. What did you try?
$endgroup$
– José Carlos Santos
Jan 7 at 9:21
$begingroup$
I tried solving it using using second order central difference eqtion but still cant able to get the above solution.
$endgroup$
– Sentthil Kumar NJ
Jan 7 at 9:24
1
$begingroup$
Then edit your question, adding to it your attempt.
$endgroup$
– José Carlos Santos
Jan 7 at 9:25
add a comment |
$begingroup$
I know the below equation is the solution but don't know how to obtain it using central differencing scheme. I tried solving it using 2nd order central differencing but still not able to get the below solution
$$F^{(4)}(x) = frac{ F(x) - 4F(x + h) + 6F(x + 2h) - 4F(x + 3h) + F(x + 4h) }{ h^4} $$
derivatives
edited Jan 7 at 10:45
user376343
3,3933826
asked Jan 7 at 9:19
Sentthil Kumar NJSentthil Kumar NJ
11
$endgroup$
I know the below equation is the solution but don't know how to obtain it using central differencing scheme. I tried solving it using 2nd order central differencing but still not able to get the below solution
$$F^{(4)}(x) = frac{ F(x) - 4F(x + h) + 6F(x + 2h) - 4F(x + 3h) + F(x + 4h) }{ h^4} $$
derivatives
derivatives
edited Jan 7 at 10:45
user376343
3,3933826
asked Jan 7 at 9:19
Sentthil Kumar NJSentthil Kumar NJ
11
edited Jan 7 at 10:45
user376343
3,3933826
asked Jan 7 at 9:19
Sentthil Kumar NJSentthil Kumar NJ
11
edited Jan 7 at 10:45
user376343
3,3933826
edited Jan 7 at 10:45
user376343
3,3933826
edited Jan 7 at 10:45
user376343
3,3933826
3,3933826
asked Jan 7 at 9:19
Sentthil Kumar NJSentthil Kumar NJ
11
asked Jan 7 at 9:19
Sentthil Kumar NJSentthil Kumar NJ
11
asked Jan 7 at 9:19
Sentthil Kumar NJSentthil Kumar NJ
11
11
$begingroup$
Welcome to MSE. What did you try?
$endgroup$
– José Carlos Santos
Jan 7 at 9:21
$begingroup$
I tried solving it using using second order central difference eqtion but still cant able to get the above solution.
$endgroup$
– Sentthil Kumar NJ
Jan 7 at 9:24
1
$begingroup$
Then edit your question, adding to it your attempt.
$endgroup$
– José Carlos Santos
Jan 7 at 9:25
add a comment |
$begingroup$
Welcome to MSE. What did you try?
$endgroup$
– José Carlos Santos
Jan 7 at 9:21
$begingroup$
I tried solving it using using second order central difference eqtion but still cant able to get the above solution.
$endgroup$
– Sentthil Kumar NJ
Jan 7 at 9:24
1
$begingroup$
Then edit your question, adding to it your attempt.
$endgroup$
– José Carlos Santos
Jan 7 at 9:25
$begingroup$
Welcome to MSE. What did you try?
$endgroup$
– José Carlos Santos
Jan 7 at 9:21
$begingroup$
Welcome to MSE. What did you try?
$endgroup$
– José Carlos Santos
Jan 7 at 9:21
$begingroup$
I tried solving it using using second order central difference eqtion but still cant able to get the above solution.
$endgroup$
– Sentthil Kumar NJ
Jan 7 at 9:24
$begingroup$
I tried solving it using using second order central difference eqtion but still cant able to get the above solution.
$endgroup$
– Sentthil Kumar NJ
Jan 7 at 9:24
1
1
$begingroup$
Then edit your question, adding to it your attempt.
$endgroup$
– José Carlos Santos
Jan 7 at 9:25
$begingroup$
Then edit your question, adding to it your attempt.
$endgroup$
– José Carlos Santos
Jan 7 at 9:25
add a comment |
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$begingroup$
Welcome to MSE. What did you try?
$endgroup$
– José Carlos Santos
Jan 7 at 9:21
$begingroup$
I tried solving it using using second order central difference eqtion but still cant able to get the above solution.
$endgroup$
– Sentthil Kumar NJ
Jan 7 at 9:24
1
$begingroup$
Then edit your question, adding to it your attempt.
$endgroup$
– José Carlos Santos
Jan 7 at 9:25