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NDSolve   (Built-in Mathematica Symbol)
NDSolve[eqns, y, {x, x_min, x_max}] finds a numerical solution to the ordinary differential equations eqns for the function y with the independent variable x in the range ...
Numerical Solution of Differential ...   (Mathematica Tutorial)
The function NDSolve discussed in "Numerical Differential Equations" allows you to find numerical solutions to differential equations. NDSolve handles both single ...
Plot the Results of NDSolve   (Mathematica How To)
NDSolve solves a differential equation numerically. It returns solutions in a form that can be readily used in many different ways. One typical use would be to produce a plot ...
Check the Results of NDSolve   (Mathematica How To)
For most differential equations, the results given by NDSolve are quite accurate. However, because its results are based on numerical sampling and error estimates, there can ...
Solve Delay Differential Equations   (Mathematica How To)
You can use the standard differential equation solving function, NDSolve , to numerically solve delay differential equations with constant delays. It returns an interpolation ...
Norms in NDSolve   (Mathematica Tutorial)
NDSolve uses norms of error estimates to determine when solutions satisfy error tolerances. In nearly all cases the norm has been weighted, or scaled, such that it is less ...
DependentVariables   (Built-in Mathematica Symbol)
DependentVariables is an option which specifies the list of all objects that should be considered as dependent variables in equations that have been supplied.
StiffnessSwitching Method for NDSolve   (Mathematica Tutorial)
The basic idea behind the "StiffnessSwitching" method is to provide an automatic means of switching between a nonstiff and a stiff solver. The "StiffnessTest" and ...
DoubleStep Method for NDSolve   (Mathematica Tutorial)
The method "DoubleStep" performs a single application of Richardson's extrapolation for any one-step integration method. Although it is not always optimal, it is a general ...
Projection Method for NDSolve   (Mathematica Tutorial)
When a differential system has a certain structure, it is advantageous if a numerical integration method preserves the structure. In certain situations it is useful to solve ...
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