Details

Autor(en) / Beteiligte

• Beyrami, Hossein
• Lotfi, Taher

Titel

A novel method with error analysis for the numerical solution of a logarithmic singular Fredholm integral equation

Ist Teil von

• Afrika mathematica, 2023-06, Vol.34 (2), Article 33

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2023

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• This article attempts to investigate the numerical solution of a weakly singular Fredholm integral equation of the first kind, involving a logarithmic singularity in the reproducing kernel Hilbert space W 2 3 [ 0 , b ] . The approximate solution is represented in the form of series including finite number of terms. Convergence rate of the approximate solution is studied using error analysis. Numerical examples carried out to demonstrate the error analysis estimates.