Power series solution of first order matrix differential equations

• Autorzy: Kukla S. , Zamorska I.
• Języki publikacji: EN

Abstrakty

EN

In the paper, the solution of second order differential equations with various coefficients is presented. The concerning equations are written as first order matrix differential equations and solved with the use of the power series method. Examples of application of the proposed method to the equations occurring in the technical problems are presented.

Słowa kluczowe

EN

power series; differential equations

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2014
• Tom: Vol. 13, nr 3
• Strony: 123--128
• Opis fizyczny: Bibliogr. 5 poz., tab.

Twórcy

autor

Kukla S.

• Institute of Mathematics, Czestochowa University of Technology Częstochowa, Poland

autor

Zamorska I.

• Institute of Mathematics, Czestochowa University of Technology Częstochowa, Poland

Bibliografia

• [1] Eisenberger M., Exact longitudinal vibration frequencies of a variable cross-section rods, Applied Acoustics 1991, 34, 123-130.
• [2] Quaisi M.I., A power series solution for the non-linear vibration of beams, Journal of Sound and Vibration 1997, 199(4), 587-594.
• [3] Zhou K., Differential Transformation and Its Application to Electrical Circuits, Wuhan People Republic of China, Huazhong University Press 1986 (in Chinese).
• [4] Inaudi J.A., Matusevich A.E., Domain-partition power series in vibration analysis of variable cross-section rods, Journal of Sound and Vibration 2010, 329, 4534-4549.
• [5] Zamorska I., Longitudinal vibrations of a non-uniform rods coupled by double spring-mass systems, Scientific Research of the Institute of Mathematics and Computer Science 2007, 1(6), 277-284.