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This article is cited in 3 scientific papers (total in 3 papers)
Mathematics
Solution of Cauchy problem for equation first order via Haar functions
D. S. Lukomskii, S. F. Lukomskii, P. A. Terekhin Saratov State University, 83, Astrakhanskaya st., 410012, Saratov, Russia
Abstract:
In this article we consider a Cauchy problem for the first order differential equation and are looking for its numerical solution. For this aim we represent the derivative of the solution as Haar decomposition. We also obtain estimates of approximate solution. The method is computationally simple and applications are demonstrated through illustrative examples. These examples show that in some cases the error of the proposed method is much less, than in second order Runge–Kutta method.
Key words:
differential equations, numerical methods, approximate solution, approximation error, Haar system.
Citation:
D. S. Lukomskii, S. F. Lukomskii, P. A. Terekhin, “Solution of Cauchy problem for equation first order via Haar functions”, Izv. Saratov Univ. Math. Mech. Inform., 16:2 (2016), 151–159
Linking options:
https://www.mathnet.ru/eng/isu631 https://www.mathnet.ru/eng/isu/v16/i2/p151
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Abstract page: | 485 | Full-text PDF : | 164 | References: | 43 |
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