An iterative method for solving two dimensional nonlinear Volterra integral equations

Author(s):

Manochehr Kazemi *

Message:
Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:

In this paper, a numerical iterative algorithm based on combination of the successive approximations method and the quadrature formula for solving two-dimensional nonlinear Volterra integral equations is proposed. This algorithm uses a trapezoidal quadrature rule for Lipschitzian functions applied at each iterative step. The convergence analysis and error estimate of the method are proved. Finally, two numerical examples are presented to show the accuracy of the proposed method.

Keywords:

Two-dimensional nonlinear integral equations , Trapezoidal cubature formula , Iterative method , Successive approximations

Language:
English
Published:
Analytical and Numerical Solutions for Nonlinear Equations, Volume:6 Issue: 1, Summer and Autumn 2021
Pages:
41 to 57
https://www.magiran.com/p2311735  
سامانه نویسندگان
  • Kazemi، Manochehr
    Author
    Kazemi, Manochehr
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