Interpolation method for solving Volterra integral equations with weakly singular kernel using an advanced barycentric Lagrange formula
We presented an interpolation method for solving weakly singular Volterra integral equations of the second kind (SVK2). The method based on the barycentric Lagrange interpolation.. For the chosen nodes of the two singular kernel variables, we created two rules that confirm that the denominator of th...
Main Authors: | E.S. Shoukralla, B.M. Ahmed, M. Sayed, Ahmed Saeed |
---|---|
Format: | Article |
Language: | English |
Published: |
Elsevier
2022-09-01
|
Series: | Ain Shams Engineering Journal |
Subjects: | |
Online Access: | http://www.sciencedirect.com/science/article/pii/S2090447922000545 |
Similar Items
-
Barycentric Lagrange Interpolation Methods for Evaluating Singular Integrals
by: E.S. Shoukralla, et al.
Published: (2023-04-01) -
Numerical solution of Volterra integral equations with weakly singular kernels which may have a boundary singularity
by: Marek Kolk, et al.
Published: (2009-03-01) -
On a Bivariate Generalization of Berrut’s Barycentric Rational Interpolation to a Triangle
by: Len Bos, et al.
Published: (2021-10-01) -
Computationally efficient barycentric interpolation of large grain boundary octonion point sets
by: Sterling G. Baird, et al.
Published: (2022-01-01) -
Numerical Solutions of Volterra Integral Equations of Third Kind and Its Convergence Analysis
by: Imtiyaz Ahmad Bhat, et al.
Published: (2022-12-01)