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Reviewed Lecture 4
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EXERCISES/Exercises_Lecture_04.ipynb

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"source": [
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"## Exercise 1: The Heat Diffusion Equation with Finite Differences\n",
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"\n",
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" Given the single spatial dimension heat diffusion equation (modelling the diffusion of heat/density of chemical species etc., propelled by the agglomeration of the same quantity with no source no leak) within the spatial region $x\\in (0,L)$ and time $t\\geq 0$:\n",
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" The single spatial dimension (x) heat diffusion equation (modelling the diffusion of heat or density of chemical species etc., propelled by the agglomeration of the same quantity with no source nor leak) within the spatial region $x\\in (0,L)$ and time $t\\geq 0$ is given by the partial differential equation:\n",
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" $$\n",
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"\\frac{\\partial u(x,t)}{\\partial t} = \\kappa \\frac{\\partial^2 u(x,t)}{\\partial x^2}\n",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.8.5"
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"version": "3.7.3"
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}
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},
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"nbformat": 4,

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