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update
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evg16108 committed May 6, 2020
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2 changes: 1 addition & 1 deletion project5_FINAL.ipynb
Expand Up @@ -80,7 +80,7 @@
"$$EI \\frac{d^{4} w}{dx^{4}} = 0$$\n",
"\n",
"Writing this into a finite difference form we have:\n",
"$$EI \\frac{d^4w}{dx^4} \\approx \\frac{w(x_{i+2})−4w(x_{i+1})+6w(x_i)−4w(x_{i-1})+w(x_{i-2})}{h^4} \\approx 0$$\n",
"$$EI \\frac{d^4w}{dx^4} = \\frac{w(x_{i+2})−4w(x_{i+1})+6w(x_i)−4w(x_{i-1})+w(x_{i-2})}{h^4} = 0$$\n",
"\n",
"Where the analytical solution is:\n",
"$$w(x) = C_{1}\\frac{x^{3}}{6} + C_{2}\\frac{x^{2}}{2} + C_{3}x + C_{4}$$\n",
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