Numerical solution of certain Cauchy singular integral equations using a collocation scheme

• Published in: Advances in difference equations Vol. 2020; no. 1; pp. 1 - 15
• Main Author: Seifi, Ali
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 29.09.2020; SpringerOpen
• Subjects: Analysis; Applications; Bessel polynomial; Cauchy singular integral equation; Collocation scheme; Difference and Functional Equations; Functional Analysis; Mathematics; Mathematics and Statistics; Methods; Ordinary Differential Equations; Partial Differential Equations; Topics in Special Functions and q-Special Functions: Theory; Bessel polynomial; Collocation scheme; Cauchy singular integral equation

The present study is devoted to developing a computational collocation technique for solving the Cauchy singular integral equation of the second kind (CSIE-2). Although, several studies have investigated the numerical approximation solution of CSIEs, the strong singularity and accuracy of the numeri...