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Here is the equation that I don't know how to solve by finite differences. I will appreciate when someone can help me. $$ \frac{\partial{^2T}}{\partial{x^2}} = 0.01 \cdot (T-20)^4 \\ T(0) = 200 \\ T(10) = 40 \\ $$

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Also not finite differences, this might also be interesting for you: en.wikipedia.org/wiki/Shooting_method – vanCompute Jan 21 at 12:48
Is this homework? – Stefano M Jan 21 at 13:07
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Hi Marjan, and welcome to Scicomp! I'm curious... What aspect of the problem is troubling you? Discretization or solving the non-linear equations? – Paul♦ Jan 21 at 15:51
Marjan, welcome to SciComp! We don't answer homework questions unless the question specifically shows the work done on the problem so far, and the aspect of the problem that is causing trouble. We also avoid giving complete solutions to homework problems, if possible. I am going to close your question. You can still edit it, and if you provide additional details, such as the ones I've mentioned, I (or one of the other mods) will reopen the question. – Geoff Oxberry♦ Jan 21 at 20:34

closed as not a real question by Geoff Oxberry♦ Jan 21 at 20:34

It's difficult to tell what is being asked here. This question is ambiguous, vague, incomplete, overly broad, or rhetorical and cannot be reasonably answered in its current form. For help clarifying this question so that it can be reopened, see the FAQ.

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