SolutionPair Structure |
Namespace: Meta.Numerics.Functions
Assembly: Meta.Numerics (in Meta.Numerics.dll) Version: 4.1.4
SyntaxThe SolutionPair type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | SolutionPair |
Initializes a new solution pair with the given values.
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Properties| Name | Description | |
|---|---|---|
 | FirstSolutionDerivative |
Gets the derivative of the first solution.
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| FirstSolutionValue |
Gets the value of the first solution.
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| SecondSolutionDerivative |
Gets the derivative of the second solution.
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| SecondSolutionValue |
Gets the value of the second solution.
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Methods| Name | Description | |
|---|---|---|
| Equals | Indicates whether this instance and a specified object are equal. (Inherited from ValueType.) |
| GetHashCode | Returns the hash code for this instance. (Inherited from ValueType.) |
| GetType | Gets the Type of the current instance. (Inherited from Object.) |
| ToString | Returns the fully qualified type name of this instance. (Inherited from ValueType.) |
RemarksAny linear second order differential equation has two independent solutions. For example, the Bessel differential equation (Bessel(Double, Double)) has solutions J and Y, the Coulomb wave equation (Coulomb(Int32, Double, Double)) has solutions F and G, and the Airy differential equation (Airy(Double)) has solutions Ai and Bi.
A solution pair structure contains values for both solutions and for their derivatives. It is often useful to have all this information together when fitting boundary conditions.
Which solution is considered the first and which is considered the second is a matter of convention. When one solution is regular (finite) at the origin and the other is not, we take the regular solution to be the first.
See Also