APPROXIMATE SOLUTION OF THE STOCHASTIC VOLTERRA INTEGRAL EQUATIONS VIA EXPANSION METHOD

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KHODABIN M.; MALEKNEJAD K.; DAMERCHELI T.

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Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2014 | Volume:6 | Issue:1 Page(s): 41-48

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Title

APPROXIMATE SOLUTION OF THE STOCHASTIC VOLTERRA INTEGRAL EQUATIONS VIA EXPANSION METHOD

Author(s)

KHODABIN M. | MALEKNEJAD K. | DAMERCHELI T. | Issue Writer Certificate

Keywords

TAYLOR SERIES EXPANSIONQ2

STOCHASTIC VOLTERRA INTEGRAL EQUATIONQ2

ITO INTEGRALQ2

Abstract

In this paper, we present an efficient method for determining the solution of the stochastic second kind Volterra integral equations (SVIE) by using the Taylor expansion method. This method transforms the SVIE to a linear stochastic ordinary differential equation which needs specified boundary conditions. For determining boundary conditions, we use the integration technique. This technique gives an approximate simple and closed form solution for the SVIE. Expectation of the approximating process is computed. Some numerical examples are used to illustrate the accuracy of the method.

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APA: Copy

KHODABIN, M., MALEKNEJAD, K., & DAMERCHELI, T.. (2014). APPROXIMATE SOLUTION OF THE STOCHASTIC VOLTERRA INTEGRAL EQUATIONS VIA EXPANSION METHOD. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 6(1), 41-48. SID. https://sid.ir/paper/231654/en

Vancouver: Copy

KHODABIN M., MALEKNEJAD K., DAMERCHELI T.. APPROXIMATE SOLUTION OF THE STOCHASTIC VOLTERRA INTEGRAL EQUATIONS VIA EXPANSION METHOD. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2014;6(1):41-48. Available from: https://sid.ir/paper/231654/en

IEEE: Copy

M. KHODABIN, K. MALEKNEJAD, and T. DAMERCHELI, “APPROXIMATE SOLUTION OF THE STOCHASTIC VOLTERRA INTEGRAL EQUATIONS VIA EXPANSION METHOD,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 6, no. 1, pp. 41–48, 2014, [Online]. Available: https://sid.ir/paper/231654/en

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