TY - JOUR AU - N. B. Iskakova AU - A. T. Assanova AU - E. A. Bakirova PY - 2019/09/25 Y2 - 2024/03/28 TI - Numerical method for the solution of linear boundary-value problem for integrodifferential equations based on spline approximations JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 71 IS - 9 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1508 AB - 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 toa linear boundary-value problem for a system of loaded differential equations. We also propose new algorithms for findingthe numerical solution and a method for the construction of approximate solution to the approximating boundary-valueproblem. ER -