DISCRETE COLLOCATION METHOD FOR SOLVING FREDHOLM–VOLTERRA INTEGRO–DIFFERENTIAL EQUATIONS

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RABBANI MOHSEN; KIASOLTANI S.H.

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Journal: Journal of Operational Research in its Applications Year:2011 | Volume:8 | Issue:1 (28) Page(s): 55-60

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Title

DISCRETE COLLOCATION METHOD FOR SOLVING FREDHOLM–VOLTERRA INTEGRO–DIFFERENTIAL EQUATIONS

Author(s)

RABBANI MOHSEN | KIASOLTANI S.H. | Issue Writer Certificate

Keywords

DISCRETE COLLOCATION METHOD

FREDHOLM–VOLTERRA INTEGRO

DIFFERENTIAL EQUATIONS

Abstract

In this article we use DISCRETE COLLOCATION METHOD for solving FREDHOLM–VOLTERRA INTEGRO–differential equations, because these kinds of integral equations are used in applied sciences and engineering such as models of epidemic diffusion, population dynamics, and reaction–diffusion in small cells. Also the above integral equations with convolution kernel will be solved by DISCRETE COLLOCATION METHOD. In this method we approximate solution of problem by no smooth piecewise polynomial. Numerical results show a high accuracy and validity DISCRETE COLLOCATION METHOD.

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APA: Copy

RABBANI, MOHSEN, & KIASOLTANI, S.H.. (2011). DISCRETE COLLOCATION METHOD FOR SOLVING FREDHOLM–VOLTERRA INTEGRO–DIFFERENTIAL EQUATIONS. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), 8(1 (28)), 55-60. SID. https://sid.ir/paper/628651/en

Vancouver: Copy

RABBANI MOHSEN, KIASOLTANI S.H.. DISCRETE COLLOCATION METHOD FOR SOLVING FREDHOLM–VOLTERRA INTEGRO–DIFFERENTIAL EQUATIONS. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS)[Internet]. 2011;8(1 (28)):55-60. Available from: https://sid.ir/paper/628651/en

IEEE: Copy

MOHSEN RABBANI, and S.H. KIASOLTANI, “DISCRETE COLLOCATION METHOD FOR SOLVING FREDHOLM–VOLTERRA INTEGRO–DIFFERENTIAL EQUATIONS,” JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), vol. 8, no. 1 (28), pp. 55–60, 2011, [Online]. Available: https://sid.ir/paper/628651/en

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