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D: Numerical Solution of ODE's

  • Page ID
    91840
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    In Section 2.4 we solved a number of inital value problems of the form

    \begin{align*} y'(t)&=f\big(t,y(t)\big) \\ y(t_0)&=y_0 \end{align*}

    Here \(f(t,y)\) is a given function, \(t_0\) is a given initial time and \(y_0\) is a given initial value for \(y\text{.}\) The unknown in the problem is the function \(y(t)\text{.}\) There are a number of other techniques for analytically solving some problems of this type. However it is often simply not possible to find an explicit solution. This appendix introduces some simple algorithms for generating approximate numerical solutions to such problems.


    This page titled D: Numerical Solution of ODE's is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Joel Feldman, Andrew Rechnitzer and Elyse Yeager via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.