IGLib  1.7.2
The IGLib base library EXTENDED - with other lilbraries and applications.
 All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Properties Events Macros
Meta.Numerics.Functions.SolutionPair Struct Reference

Contains a pair of solutions to a differential equation. More...

Public Attributes

double jPrime
 
double y
 
double yPrime
 

Properties

double FirstSolutionValue [get, set]
 Gets the value of the first solution. More...
 
double FirstSolutionDerivative [get, set]
 Gets the derivative of the first solution. More...
 
double SecondSolutionValue [get, set]
 Gets the value of the second solution. More...
 
double SecondSolutionDerivative [get, set]
 Gets the derivative of the second solution. More...
 

Private Attributes

double j
 

Detailed Description

Contains a pair of solutions to a differential equation.

Any linear second order differential equation has two independent solutions. For example, the Bessel differential equation (AdvancedMath.Bessel) has solutions J and Y, the Coulomb wave equation has solutions F and G, and the Airy differential equation 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.

Member Data Documentation

double Meta.Numerics.Functions.SolutionPair.j
private
double Meta.Numerics.Functions.SolutionPair.jPrime
double Meta.Numerics.Functions.SolutionPair.y
double Meta.Numerics.Functions.SolutionPair.yPrime

Property Documentation


The documentation for this struct was generated from the following file: