A computer program written in FORTRAN IV for obtaining smooth solutions of ill-posed systems of linear equations arising from the discretization of the Fredholm integral equation of the first kind is given. It is based on a novel algorithm by the author. The algorithm is iterative using linear progr
An algorithm for the solution of ill-posed linear systems arising from the discretization of Fredholm integral equation of the first kind
โ Scribed by N.N Abelmalek
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 778 KB
- Volume
- 97
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
T?w d@culties in solving Fredholm integral equations of the first kind are well bnown. A classical method has been to convert the equation into a set of m linear algebraic equation8 in n unknown8 (rng n). For computational convenience, it is customary to force m = n and solve the resulting ill-condi
INTRODUCTEON A linear Frcdhofm equation ol the first kind is defined by the ~XpE&3?l Here g(x) and K{x, c) are normally known functions, while it is desired to calculate #I. Although K(x, t) is usually known with high pwekkm, often g(x) is not. Examptes of&s kind of problem ial chemistry and chemica