Journal
COMPUTATIONAL & APPLIED MATHEMATICS
Volume 37, Issue 4, Pages 4966-4976Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s40314-018-0611-9
Keywords
Loaded differential equation; Impulse effect; Parametrization method; Numerical algorithm
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Funding
- Ministry education and Science of the Republic of Kazakhstan [0822/GammaPhi4, AP05131220]
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A linear two-point boundary value problem for a system of loaded differential equations with impulse effect is investigated. Values in the previous impulse points are taken into consideration in the conditions of impulse effect. The considered problem is reduced to an equivalent multi-point boundary value problem for the system of ordinary differential equations with parameters. A numerical implementation of parametrization method is offered using the Runge-Kutta method of 4th-order accuracy for solving the Cauchy problems for ordinary differential equations. The constructed numerical algorithms are illustrated by examples.
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