Runge-Kutta method: Difference between revisions
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</pre> |
</pre> |
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=={{header|Mathematica}}== |
=={{header|Mathematica}}/{{header|Wolfram Language}}== |
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<lang Mathematica>(* Symbolic solution *) |
<lang Mathematica>(* Symbolic solution *) |
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DSolve[{y'[t] == t*Sqrt[y[t]], y[0] == 1}, y, t] |
DSolve[{y'[t] == t*Sqrt[y[t]], y[0] == 1}, y, t] |
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solution = NestList[phi, {0, 1}, 101]; |
solution = NestList[phi, {0, 1}, 101]; |
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Table[{y[[1]], y[[2]], Abs[y[[2]] - 1/16 (y[[1]]^2 + 4)^2]}, |
Table[{y[[1]], y[[2]], Abs[y[[2]] - 1/16 (y[[1]]^2 + 4)^2]}, |
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{y, solution[[1 ;; 101 ;; 10]]}] |
{y, solution[[1 ;; 101 ;; 10]]}]</lang> |
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</lang> |
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=={{header|MATLAB}}== |
=={{header|MATLAB}}== |
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