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

• Date: 2019
• Main Authors: Iskakova, N. B., Assanova, A. T., Bakirova, E. A., Искакова, Н. Б., Асанова, А. Т., Бакирова, Э. А.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2019
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1508
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 s...