New Modification on Heun’s Method Based on Contraharmonic Mean for Solving Initial Value Problems with High Efficiency
Author
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-07
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this paper, small modification on Improved Euler’s method (Heun’s method) is proposed to improve the efficiency so as to solve ordinary differential equations with initial condition by assuming the tangent slope as an average of the arithmetic mean and contra-harmonic mean.
In order to validate the conclusion, the stability, consistency, and accuracy of the system were evaluated and numerical results were presented, and it was recognized that the proposed method is more stable, consistent, and accurate with high performance.
American Psychological Association (APA)
Workie, Abushet Hayalu. 2020. New Modification on Heun’s Method Based on Contraharmonic Mean for Solving Initial Value Problems with High Efficiency. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1188118
Modern Language Association (MLA)
Workie, Abushet Hayalu. New Modification on Heun’s Method Based on Contraharmonic Mean for Solving Initial Value Problems with High Efficiency. Journal of Mathematics No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1188118
American Medical Association (AMA)
Workie, Abushet Hayalu. New Modification on Heun’s Method Based on Contraharmonic Mean for Solving Initial Value Problems with High Efficiency. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1188118
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188118