A measure of accuracy for quadrature methods for Fredholm equations of the first kind
โ Scribed by Min Tsao
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 407 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0377-0427
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๐ SIMILAR VOLUMES
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
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
In this paper we propose new numerical methods for linear Fredholm integral equations of the second kind with weakly singular kernels. The methods are developed by means of the Sinc approximation with smoothing transformations, which is an effective technique against the singularities of the equatio