THE MULTI-STEP HOMOTOPY ANALYSIS METHOD: A POWERFUL SCHEME FOR HANDLING NON-LINEAR OSCILLATORS

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

ZURIGAT M.; AL SHARA S.; MOMANI S.; ALAWNEH A.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE Year:2013 | Volume:37 | Issue:A3 (SPECIAL ISSUE-MATHEMATICS) Page(s): 421-429

Download Full-Text

View:

395

Download:

111

Cites:

Information Journal Paper

Title

THE MULTI-STEP HOMOTOPY ANALYSIS METHOD: A POWERFUL SCHEME FOR HANDLING NON-LINEAR OSCILLATORS

Author(s)

ZURIGAT M. | AL SHARA S. | MOMANI S. | ALAWNEH A. | Issue Writer Certificate

Keywords

NON-LINEAR OSCILLATORS

HOMOTOPY ANALYSIS METHOD

NUMERICAL SOLUTIONS

Abstract

This paper presents approximate analytical solutions for nonlinear oscillators using the multi-step HOMOTOPY ANALYSIS METHOD (MSHAM). The proposed scheme is only a simple modification of the HOMOTOPY ANALYSIS METHOD, in which it is treated as an algorithm in a sequence of small intervals (i.e. time step) for finding accurate approximate solutions to the corresponding problems. Several illustrative examples are given to demonstrate the effectiveness of the present method. Figurative comparisons between the MSHAM and the classical fourth-order Runge-Kutta method (RK4) reveal that this modified method is very effective and convenient.

Cites

No record.

References

Cite

APA: Copy

ZURIGAT, M., AL SHARA, S., MOMANI, S., & ALAWNEH, A.. (2013). THE MULTI-STEP HOMOTOPY ANALYSIS METHOD: A POWERFUL SCHEME FOR HANDLING NON-LINEAR OSCILLATORS. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE, 37(A3 (SPECIAL ISSUE-MATHEMATICS)), 421-429. SID. https://sid.ir/paper/617971/en

Vancouver: Copy

ZURIGAT M., AL SHARA S., MOMANI S., ALAWNEH A.. THE MULTI-STEP HOMOTOPY ANALYSIS METHOD: A POWERFUL SCHEME FOR HANDLING NON-LINEAR OSCILLATORS. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE[Internet]. 2013;37(A3 (SPECIAL ISSUE-MATHEMATICS)):421-429. Available from: https://sid.ir/paper/617971/en

IEEE: Copy

M. ZURIGAT, S. AL SHARA, S. MOMANI, and A. ALAWNEH, “THE MULTI-STEP HOMOTOPY ANALYSIS METHOD: A POWERFUL SCHEME FOR HANDLING NON-LINEAR OSCILLATORS,” IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE, vol. 37, no. A3 (SPECIAL ISSUE-MATHEMATICS), pp. 421–429, 2013, [Online]. Available: https://sid.ir/paper/617971/en

Related Journal Papers

No record.

Related Seminar Papers

No record.

Related Plans

No record.

Recommended Workshops