library.inteq Submodule¶
Module Summary¶
Interfaces for the NAG Mark 30.3 inteq Chapter.
inteq - Integral Equations
This module is concerned with the numerical solution of integral equations. Provision will be made for most of the standard types of equation (see Background to the Problems). The following are, however, specifically excluded:
Equations arising in the solution of partial differential equations by integral equation methods. In cases where the prime purpose of an algorithm is the solution of a partial differential equation it will normally be included in submodule
pde.Calculation of inverse integral transforms. This problem falls within the scope of submodule
sum.
Functionality Index¶
Fredholm equation of second kind
linear
nonsingular discontinuous or ‘split’ kernel:
fredholm2_split()nonsingular smooth kernel:
fredholm2_smooth()
Volterra equation of first kind
nonlinear
weakly-singular
convolution equation (Abel):
abel1_weak()
Volterra equation of second kind
nonlinear
nonsingular
convolution equation:
volterra2()weakly-singular
convolution equation (Abel):
abel2_weak()
Weight generating functions
weights for general solution of Volterra equations:
volterra_weights()weights for general solution of Volterra equations with weakly-singular kernel:
abel_weak_weights()
For full information please refer to the NAG Library document
https://support.nag.com/numeric/nl/nagdoc_30.3/flhtml/d05/d05intro.html