Order and stability of 2-point block backward difference method

This paper studied the order and stability of a 2-Point Block Backward Difference method (2PBBD) for solving systems of nonstiff higher order Ordinary Differential Equations (ODEs) directly. The method computes the estimated solutions at two points concurrently within an equidistant block. The integ...

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Bibliographic Details
Main Authors: Ijam, Hazizah Mohd, Ibrahim, Zarina Bibi, Senu, Norazak, Suleiman, Mohamed, Rasedee, Ahmad Fadly Nurullah
Format: Conference Proceeding
Language:English
Subjects:
Differential equations
Ordinary differential equations
Stability
Online Access:Get full text
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Summary:This paper studied the order and stability of a 2-Point Block Backward Difference method (2PBBD) for solving systems of nonstiff higher order Ordinary Differential Equations (ODEs) directly. The method computes the estimated solutions at two points concurrently within an equidistant block. The integration coefficients that are used in the method are calculated only once at the beginning of the programming. The numerical results obtained compare the stability region and error growth rate of the proposed method with 2-Point Block Divided Difference method (2PBDD) and 1-Point Backward Difference method (1PBD).
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5041585