A MESHLESS METHOD FOR OPTIMAL CONTROL PROBLEM OF VOLTERRA-FREDHOLM INTEGRAL EQUATIONS USING MULTIQUADRATIC RADIAL BASIS FUNCTIONS

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.

NAZARI MELEH J.; ALMASIEH H.

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

Journal Paper

Paper Information

Journal: JOURNAL OF NEW RESEARCHES IN MATHEMATICS Year:2016 | Volume:2 | Issue:7 Page(s): 89-95

Download Full-Text

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

Persian Verion

View:

1,239

Download:

Cites:

Information Journal Paper

Title

A MESHLESS METHOD FOR OPTIMAL CONTROL PROBLEM OF VOLTERRA-FREDHOLM INTEGRAL EQUATIONS USING MULTIQUADRATIC RADIAL BASIS FUNCTIONS

Author(s)

NAZARI MELEH J. | ALMASIEH H. | Issue Writer Certificate

Keywords

VOLTERRA INTEGRAL EQUATIONSQ1

OPTIMAL CONTROLQ2

MULTIQUADRICS RADIAL BASIS FUNCTIONSQ1

Abstract

In this paper, a numerical method is proposed for solving OPTIMAL CONTROL problem of VOLTERRA INTEGRAL EQUATIONS using radial basis functions (RBFs) for approximating unknown function. Actually, the method is based on interpolation by radial basis functions including multiquadrics (MQs), to determine the control vector and the corresponding state vector in linear dynamic system while minimizing the quadratic cost functional. In addition for greater precision, the included integrals in Volterra integral equation and the cost functional are approximated using Legendre-Gauss-Lobatto nodes and weights. These nodes are considered as collocations points. The OPTIMAL CONTROL problem is reduced to a minimization so that the control vector and the state vector are considered as an approximation of solution vectors based on radial basis functions. Two numerical examples are presented and results are compared with the analytical solutions to demonstrate the applicability and accuracy of the proposed method.

Cites

No record.

References

No record.

Cite

APA: Copy

NAZARI MELEH, J., & ALMASIEH, H.. (2016). A MESHLESS METHOD FOR OPTIMAL CONTROL PROBLEM OF VOLTERRA-FREDHOLM INTEGRAL EQUATIONS USING MULTIQUADRATIC RADIAL BASIS FUNCTIONS. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 2(7), 89-95. SID. https://sid.ir/paper/257298/en

Vancouver: Copy

NAZARI MELEH J., ALMASIEH H.. A MESHLESS METHOD FOR OPTIMAL CONTROL PROBLEM OF VOLTERRA-FREDHOLM INTEGRAL EQUATIONS USING MULTIQUADRATIC RADIAL BASIS FUNCTIONS. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2016;2(7):89-95. Available from: https://sid.ir/paper/257298/en

IEEE: Copy

J. NAZARI MELEH, and H. ALMASIEH, “A MESHLESS METHOD FOR OPTIMAL CONTROL PROBLEM OF VOLTERRA-FREDHOLM INTEGRAL EQUATIONS USING MULTIQUADRATIC RADIAL BASIS FUNCTIONS,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 2, no. 7, pp. 89–95, 2016, [Online]. Available: https://sid.ir/paper/257298/en

Related Journal Papers