Tjang Daniel, Chandra (2014) SOLVING A SYSTEM OF FOURTH ORDER ORDINARY DIFFERENTIAL EQUATIONS BY USING DIAGONALIZATION MATRIX. Proceeding of International Conference On Research, Implementation And Education Of Mathematics And Sciences 2014. (Submitted)

Text
M18 Tjang Daniel C.pdf Download (330kB)  Preview 
Abstract
Consider a system of fourth order ordinary differential equation x(4) = Ax, where A is a square matrix. To find the solution of this system, the matrix A will be diagonalized by using J =P1AP, where P is a matrix with vectoreigens of A as its columns. Therefore, the original system can be transformed into a new system y(4) = Jy with y = P1x. Solving this new system will yield the soluton of the original system, that is, x = Py. Some problems with different types of eigenvalues of A will be given. Especially, Jordan form is used to diagonalize A, when all eigenvalues of A are equal.
Item Type:  Article 

Uncontrolled Keywords:  fourth order ordinary differential equation, diagonalization matrix 
Subjects:  Prosiding > ICRIEMS 2014 > MATHEMATICS & MATHEMATICS EDUCATION 
Divisions:  Fakultas Matematika dan Ilmu Pengetahuan Alam (FMIPA) > Pendidikan Matematika > Matematika 
Depositing User:  Eprints 
Date Deposited:  07 Nov 2014 04:28 
Last Modified:  07 Nov 2014 04:28 
URI:  http://eprints.uny.ac.id/id/eprint/11510 
Actions (login required)
View Item 