Fourth-order approximation of the fundamental matrix of a linear system of differential equations
Other Title(s)
تقريب من الدرجة الرابعة للمصفوفة الأساسية لمنظومة معادلات تفاضلية خطية
Author
Source
Sultan Qaboos University Journal for Scientific Research-Science and Technology
Issue
Vol. 1997, Issue 2 (31 Dec. 1997), pp.57-64, 8 p.
Publisher
Sultan Qaboos University College of Science
Publication Date
1997-12-31
Country of Publication
Oman
No. of Pages
8
Main Subjects
Information Technology and Computer Science
Abstract EN
A fourth-order approximation to the fundamental matrix of a system of linear differential equations is presented in closed form as a matrix exponential.
The matrix exponential is then discretized over the interval of integration l‘adc approximation together with the method of scaling and squaning (Moler et at 1978) is used to evaluate the matrix exponential.
This approach is suitable for solving both initial and boundary value problems with mixed boundary conditions.
The approximating matrix can also be used as an integrating operator for methods which require information about the solution along the discretized subintervals.
An example of a boundary value problem with mixed boundary condition is presented.
American Psychological Association (APA)
Husayn, Abd Allah Muhammad. 1997. Fourth-order approximation of the fundamental matrix of a linear system of differential equations. Sultan Qaboos University Journal for Scientific Research-Science and Technology،Vol. 1997, no. 2, pp.57-64.
https://search.emarefa.net/detail/BIM-214421
Modern Language Association (MLA)
Husayn, Abd Allah Muhammad. Fourth-order approximation of the fundamental matrix of a linear system of differential equations. Sultan Qaboos University Journal for Scientific Research-Science and Technology No. 2 (December 1997), pp.57-64.
https://search.emarefa.net/detail/BIM-214421
American Medical Association (AMA)
Husayn, Abd Allah Muhammad. Fourth-order approximation of the fundamental matrix of a linear system of differential equations. Sultan Qaboos University Journal for Scientific Research-Science and Technology. 1997. Vol. 1997, no. 2, pp.57-64.
https://search.emarefa.net/detail/BIM-214421
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 64
Record ID
BIM-214421