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Q: What is the best numerical method for the solution of partial integral-differential equations?
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Why you need the numerical solution of partial differential equations?

Very often because no analytical solution is available.


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What is a numerical solution of a partial differential equation?

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The answer will depend very much on the nature of the equation. The steps required for a one-step equation are very different from the steps required for a partial differential equation. For some equations there are no straightforward analytical methods of solution: only numerical methods.


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