Solving Nonstiff Higher-Order Ordinary Differential Equations Using 2-Point Block Method Directly
Joint Authors
Senu, Norazak
Mohd Ijam, Hazizah
Bin Rasedee, Ahmad Fadly Nurullah
Suleiman, Mohamed bin
Ahmadian, Ali
Salahshour, Soheil
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-09-17
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We describe the development of a 2-point block backward difference method (2PBBD) for solving system of nonstiff higher-order ordinary differential equations (ODEs) directly.
The method computes the approximate solutions at two points simultaneously within an equidistant block.
The integration coefficients that are used in the method are obtained only once at the start of the integration.
Numerical results are presented to compare the performances of the method developed with 1-point backward difference method (1PBD) and 2-point block divided difference method (2PBDD).
The result indicated that, for finer step sizes, this method performs better than the other two methods, that is, 1PBD and 2PBDD.
American Psychological Association (APA)
Mohd Ijam, Hazizah& Suleiman, Mohamed bin& Bin Rasedee, Ahmad Fadly Nurullah& Senu, Norazak& Ahmadian, Ali& Salahshour, Soheil. 2014. Solving Nonstiff Higher-Order Ordinary Differential Equations Using 2-Point Block Method Directly. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1014957
Modern Language Association (MLA)
Mohd Ijam, Hazizah…[et al.]. Solving Nonstiff Higher-Order Ordinary Differential Equations Using 2-Point Block Method Directly. Abstract and Applied Analysis No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-1014957
American Medical Association (AMA)
Mohd Ijam, Hazizah& Suleiman, Mohamed bin& Bin Rasedee, Ahmad Fadly Nurullah& Senu, Norazak& Ahmadian, Ali& Salahshour, Soheil. Solving Nonstiff Higher-Order Ordinary Differential Equations Using 2-Point Block Method Directly. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1014957
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014957