AN APPLICATION OF BESSEL FUNCTION FOR SOLVING NONLINEAR FREDHOLM-VOLTERRA-HAMMERSTEIN INTEGRO-DIFFERENTIAL EQUATIONS

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ORDOKHANI Y.; DEHESTANI H.

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Paper Information

Journal: JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY) Year:2013 | Volume:13 | Issue:2 Page(s): 347-362

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Title

AN APPLICATION OF BESSEL FUNCTION FOR SOLVING NONLINEAR FREDHOLM-VOLTERRA-HAMMERSTEIN INTEGRO-DIFFERENTIAL EQUATIONS

Author(s)

ORDOKHANI Y. | DEHESTANI H. | Issue Writer Certificate

Keywords

BESSEL POLYNOMIALSQ2

INTEGRO-DIFFERENTIAL EQUATIONSQ2

COLLOCATIONQ2

FREDHOLMQ2

VOLTERRAQ2

HAMMERESTEINQ2

Abstract

In this paper, a COLLOCATION method based on the BESSEL POLYNOMIALS is used for the solution of nonlinear FREDHOLM-Volterra-Hammerstein INTEGRO-DIFFERENTIAL EQUATIONS (FVHIDEs) under mixed conditions. This method of estimating the solution, transforms the nonlinear (FVHIDEs) to matrix equations with the help of BESSEL POLYNOMIALS of the first kind and COLLOCATION points. The matrix equations correspond to a system of nonlinear algebraic equations with the unknown Bessel coefficients. Present results and comparisons demonstrate that our estimate has good degree of accuracy and this method is more valid and useful than other methods.

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APA: Copy

ORDOKHANI, Y., & DEHESTANI, H.. (2013). AN APPLICATION OF BESSEL FUNCTION FOR SOLVING NONLINEAR FREDHOLM-VOLTERRA-HAMMERSTEIN INTEGRO-DIFFERENTIAL EQUATIONS. JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY), 13(2), 347-362. SID. https://sid.ir/paper/43919/en

Vancouver: Copy

ORDOKHANI Y., DEHESTANI H.. AN APPLICATION OF BESSEL FUNCTION FOR SOLVING NONLINEAR FREDHOLM-VOLTERRA-HAMMERSTEIN INTEGRO-DIFFERENTIAL EQUATIONS. JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY)[Internet]. 2013;13(2):347-362. Available from: https://sid.ir/paper/43919/en

IEEE: Copy

Y. ORDOKHANI, and H. DEHESTANI, “AN APPLICATION OF BESSEL FUNCTION FOR SOLVING NONLINEAR FREDHOLM-VOLTERRA-HAMMERSTEIN INTEGRO-DIFFERENTIAL EQUATIONS,” JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY), vol. 13, no. 2, pp. 347–362, 2013, [Online]. Available: https://sid.ir/paper/43919/en

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