On the numerical algorithms of parametrization method for solving a two-point boundary-value problem for impulsive systems of loaded differential equations

Journal Article · Sat Sep 15 00:00:00 EDT 2018 · Computational and Applied Mathematics

DOI:https://doi.org/10.1007/S40314-018-0611-9· OSTI ID:22769216

Kadirbayeva, Zh. M. ^[1]

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1. Institute of Mathematics and Mathematical Modeling, Department of Differential Equations (Kazakhstan)

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.

• OSTI ID: 22769216
• Journal Information: Computational and Applied Mathematics, Vol. 37, Issue 4; Other Information: Copyright (c) 2018 SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional; Country of input: International Atomic Energy Agency (IAEA); ISSN 0101-8205
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
ALGORITHMS
BOUNDARY-VALUE PROBLEMS
CAUCHY PROBLEM
DIFFERENTIAL EQUATIONS