Efficient Numerical Algorithm for the Solution of Nonlinear Two-Dimensional Volterra Integral Equation Arising from Torsion Problem
Keyword(s):
In this article, an effective method is given to solve nonlinear two-dimensional Volterra integral equations of the second kind, which is arising from torsion problem for a long bar that consists of the nonlinear viscoelastic material type with a fixed elliptical cross section. First, the existence of a unique solution of this problem is discussed, and then, we find the solution of a nonlinear two-dimensional Volterra integral equation (NT-DVIE) using block-by-block method (B-by-BM) and degenerate kernel method (DKM). Numerical examples are presented, and their results are compared with the analytical solution to demonstrate the validity and applicability of the method.
2014 ◽
Vol 35
(1)
◽
pp. 37-42
◽
2021 ◽
Vol 15
(7)
◽
pp. 303-319
2019 ◽
Vol 475
(2225)
◽
pp. 20190124
◽
Keyword(s):
Keyword(s):