A Dilated Trigonometrically Equipped Algorithm to Compute Periodic Vibrations through Block Milne’s Implementation

• Main Authors: J. G. Oghonyon, S. A. Bishop, K. S. Eke
• Format: Article
• Language: English
• Published: D. G. Pylarinos 2018-08-01
• Series: Engineering, Technology & Applied Science Research
• Subjects: dilated trigonometrically equipped algorithm; block- Milne’s device; convergence-criteria; max errors; principal-local- truncation-error
• Online Access: http://etasr.com/index.php/ETASR/article/view/2021
• ISSN: 2241-4487; 1792-8036

This paper intends to investigate the use of a dilated trigonometrically equipped algorithm to compute periodic vibrations in block Milne's implementation. The block-Milne implementation is established by developing a block variable-step-size predictor-corrector method of Adam’s family using a dilated trigonometrically equipped algorithm. The execution is carried out using a block variable-step-size predictor-corrector method. This system has significant advantages that include the varying step-size and finding out the convergence-criteria and error control. Convergence-criteria and operational mode are discussed to showcase the accuracy and effectuality of the proposed approach.