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nonlinear convection-diffusion

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Old   February 24, 2007, 14:50
Default nonlinear convection-diffusion
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Abhijit
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how to solve nonlinear partial differencial equation by using any numerical method please tell me
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Old   February 26, 2007, 06:51
Default Re: nonlinear convection-diffusion
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Lionel S.
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Personally, I'd say that the simplest thing is to start from an initial guess (even 0) and then compute with one value and one unknown, for example

x * x => x_prev * x

where x_prev is the solution of previous iteration (or initial guess if it's first iteration) and x is the value that you actually compute.

If things goes well, you should converge the the real solution. When the x_prev is same that computed x, you converged.

Another solution is to make a linearisation by Taylor expansion, and then use the previous iteration as working point, from one iteration to anoter, as said above.

Hope it helps

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