Optimization of direct methods for the approximate solution of weakly singular integral equations

• Date: 1994
• Main Authors: Urumbaev, A. N., Урумбаєв, А. Н.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1994
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5641
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For a class of weakly singular integral equations with power and logarithmic singularities, we establish the optimal order of the error of direct methods and indicate the procedure which realizes this order.