2019
Том 71
№ 10

All Issues

Numerical method for the solution of linear boundary-value problem for integrodifferential equations based on spline approximations

Assanova A. T., Bakirova E. A., Iskakova N. B.


Abstract

UDC 517.642
We propose a numerical method for the solution of linear boundary-value problem for system of integrodifferential equations. This method is based on the approximation of the integral term by a cubic spline and reduction of the original problem to a linear boundary-value problem for a system of loaded differential equations. We also propose new algorithms for finding the numerical solution and a method for the construction of approximate solution to the approximating boundary-value problem.

Citation Example: Assanova A. T., Bakirova E. A., Iskakova N. B. Numerical method for the solution of linear boundary-value problem for integrodifferential equations based on spline approximations // Ukr. Mat. Zh. - 2019. - 71, № 9. - pp. 1176-1191.