A NEW APPROACH FOR SOLVING VOLTERRA INTEGRAL EQUATIONS USING THE REPRODUCING KERNEL METHOD

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KETABCHI R.; MOKHTARI R.; BABOLIAN E.

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

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Paper Information

Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2017 | Volume:9 | Issue:1 Page(s): 23-28

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Information Journal Paper

Title

A NEW APPROACH FOR SOLVING VOLTERRA INTEGRAL EQUATIONS USING THE REPRODUCING KERNEL METHOD

Author(s)

KETABCHI R. | MOKHTARI R. | BABOLIAN E. | Issue Writer Certificate

Keywords

REPRODUCING KERNEL METHODQ2

VOLTERRA INTEGRAL EQUATIONSQ2

GRAM-SCHMIDT ORTHOGONALIZATION PROCESSQ2

Abstract

This paper is concerned with a technique for solving VOLTERRA INTEGRAL EQUATIONS in the reproducing kernel Hilbert space. In contrast with the conventional REPRODUCING KERNEL METHOD, the Gram-Schmidt process is omitted here and satisfactory results are obtained. The analytical solution is represented in the form of series. An iterative method is given to obtain the approximate solution. The convergence analysis is established theoretically. The applicability of the iterative method is demonstrated by testing some various examples.

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APA: Copy

KETABCHI, R., MOKHTARI, R., & BABOLIAN, E.. (2017). A NEW APPROACH FOR SOLVING VOLTERRA INTEGRAL EQUATIONS USING THE REPRODUCING KERNEL METHOD. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 9(1), 23-28. SID. https://sid.ir/paper/231680/en

Vancouver: Copy

KETABCHI R., MOKHTARI R., BABOLIAN E.. A NEW APPROACH FOR SOLVING VOLTERRA INTEGRAL EQUATIONS USING THE REPRODUCING KERNEL METHOD. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2017;9(1):23-28. Available from: https://sid.ir/paper/231680/en

IEEE: Copy

R. KETABCHI, R. MOKHTARI, and E. BABOLIAN, “A NEW APPROACH FOR SOLVING VOLTERRA INTEGRAL EQUATIONS USING THE REPRODUCING KERNEL METHOD,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 9, no. 1, pp. 23–28, 2017, [Online]. Available: https://sid.ir/paper/231680/en

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