Approximation theory

Daghestan Electronic Mathematical Reports: Issue 10 (2018)

The spectral method for solving the Cauchy problem for systems of ordinary differential equations by means of a system of functions orthogonal in the sense of Sobolev, generated by the Haar system

UDK: 519.622

Pages: 50 - 60

We consider an iterative method that numerically solves Cauchy problem for systems of equations. Suggested method is based on using Sobolev orthogonal system of functions, generated by Haar functions $\{1, \chi_n, 2^k < n \leq 2^{k+1}, k \geq 1\}$

Keywords: Cauchy problem, numerical method, Sobolev inner product, system of differential equations, Haar system.

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