How can i write the eq. in attached file in matlab ? please help.....
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this equation is obtained by finite-difference scheme method.
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Walter Roberson
2015-12-8
You need boundary conditions. The form of the boundary conditions will give me more information about how to approach it.
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Walter Roberson
2015-12-8
编辑:Walter Roberson
2015-12-8
Based upon the information you have given, the equation is
theta(k,i) = 0
for all k and i.
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Walter Roberson
2015-12-8
In email, you asked for the expression anyhow, saying that you will find a way to make the rest work. The expression is
theta(k+1, i) = (1/3) * (-(theta(k, i+1) + theta(k, i) + theta(k, i-1)) + 1/6*(V^2/Vth^2)*pi^2*h^2*sin(2*theta(k, i)))
However, if Vth is intended as having a relationship to V then this might need to change a bit.
The validity of the expression depends upon how the boundary conditions are expressed, whether they start from theta(k,0) or from theta(k,1) or theta(k,2); the expression would also need to change if the first k was 0 instead of 1.
You expressed a boundary condition on theta(z=0) without giving any way to interpret that in terms of theta(k,i) . If we guess that maybe you want to start numbering i from 0, then we run into the problem that your other boundary condition is theta(z=0.2) and certainly 0.2 is not a valid array index. Is the idea that you divided the length L up into pieces indexed at i? Or indexed at k? We do not know, but you are going to have to know if you want to make use of the expression you asked for.
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