Method without accuracy saturation for the solution of nonlocal multipoint problem for first-order evolutionary differential equation in Banach space.

V.B. Vasylyk; D.O. Sytnyk; N.O. Komaschenko

Method without accuracy saturation for the solution of nonlocal multipoint problem for first-order evolutionary differential equation in Banach space.

Authors

V.B. Vasylyk Institute of mathematics of National Academy of Sciences
D.O. Sytnyk Institute of mathematics of National Academy of Sciences
N.O. Komaschenko Institute of mathematics of National Academy of Sciences

Abstract

A method without accuracy saturation is developed to solve a nonlocal multipoint problem for first-order evolutionary differential equation with an unbounded operator coefficient in Banach space. The method is based on the application of collocations at the Chebyshev nodes to the integral equation generated by this problem.

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Published

2020-08-07

How to Cite

Vasylyk, V., Sytnyk, D., & Komaschenko, N. (2020). Method without accuracy saturation for the solution of nonlocal multipoint problem for first-order evolutionary differential equation in Banach space. Transactions of Institute of Mathematics, the NAS of Ukraine, 16(2), 6–14. Retrieved from https://trim.imath.kiev.ua/index.php/trim/article/view/391