TRIGONOMETRICALLY FITTED TWO-STEP OBRECHKOFF METHODS FOR THE NUMERICAL SOLUTION OF PERIODIC INITIAL VALUE PROBLEMS

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.

SHOKRI ALI; SHOKRI ABBAS ALI; MOSTAFAVI SHABNAM; SAADAT HOSEIN

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

Journal Paper

Paper Information

Journal: Iranian Journal of Mathematical Chemistry Year:2015 | Volume:6 | Issue:2 Page(s): 145-161

Download Full-Text

Persian Verion

View:

582

Download:

144

Cites:

Information Journal Paper

Title

TRIGONOMETRICALLY FITTED TWO-STEP OBRECHKOFF METHODS FOR THE NUMERICAL SOLUTION OF PERIODIC INITIAL VALUE PROBLEMS

Author(s)

SHOKRI ALI | SHOKRI ABBAS ALI | MOSTAFAVI SHABNAM | SAADAT HOSEIN | Issue Writer Certificate

Keywords

OBRECHKOFF METHODSQ2

TRIGONOMETRICALLY-FITTINGQ2

INITIAL VALUE PROBLEMSQ2

SYMMETRIC MULTISTEP METHODSQ2

OSCILLATING SOLUTIONQ2

Abstract

In this paper, we present a new two-step trigonometrically fitted symmetric Obrechkoff method. The method is based on the symmetric two-step Obrechkoff method, with eighth algebraic order, high phase-lag order and is constructed to solve IVPs with periodic solutions such as orbital problems. We compare the new method to some recently constructed optimized methods from the literature. The numerical results obtained by the new method for some problems show its superiority in efficiency, accuracy and stability.

Cites

A NEW HIGH ORDER CLOSED NEWTON-COTES TRIGONOMETRICALLY-TTED FORMULAE FOR THE NUMERICAL SOLUTION OF THE SCHRODINGER EQUATION

References

No record.

Cite

APA: Copy

SHOKRI, ALI, SHOKRI, ABBAS ALI, MOSTAFAVI, SHABNAM, & SAADAT, HOSEIN. (2015). TRIGONOMETRICALLY FITTED TWO-STEP OBRECHKOFF METHODS FOR THE NUMERICAL SOLUTION OF PERIODIC INITIAL VALUE PROBLEMS. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 6(2), 145-161. SID. https://sid.ir/paper/205644/en

Vancouver: Copy

SHOKRI ALI, SHOKRI ABBAS ALI, MOSTAFAVI SHABNAM, SAADAT HOSEIN. TRIGONOMETRICALLY FITTED TWO-STEP OBRECHKOFF METHODS FOR THE NUMERICAL SOLUTION OF PERIODIC INITIAL VALUE PROBLEMS. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY[Internet]. 2015;6(2):145-161. Available from: https://sid.ir/paper/205644/en

IEEE: Copy

ALI SHOKRI, ABBAS ALI SHOKRI, SHABNAM MOSTAFAVI, and HOSEIN SAADAT, “TRIGONOMETRICALLY FITTED TWO-STEP OBRECHKOFF METHODS FOR THE NUMERICAL SOLUTION OF PERIODIC INITIAL VALUE PROBLEMS,” IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, vol. 6, no. 2, pp. 145–161, 2015, [Online]. Available: https://sid.ir/paper/205644/en

Related Journal Papers