APPROXIMATE SOLUTION OF NONLINEAR FREDHOLM INTEGRO- DIFFERENTIAL EQUATIONS WITH TIME DELAY BY USING TAYLOR METHOD

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ORDOKHANI Y.; MOHTASHAMI M.J.

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Journal Paper

Paper Information

Journal: JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY) Year:2010 | Volume:9 | Issue:1 Page(s): 73-84

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Title

APPROXIMATE SOLUTION OF NONLINEAR FREDHOLM INTEGRO- DIFFERENTIAL EQUATIONS WITH TIME DELAY BY USING TAYLOR METHOD

Author(s)

ORDOKHANI Y. | MOHTASHAMI M.J. | Issue Writer Certificate

Keywords

NONLINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONSQ2

TIME DELAYQ2

TAYLORQ2

Abstract

This paper presents an appropriate numerical method to solve NONLINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS with TIME DELAY. Its approach is based on the TAYLOR expansion. This method converts the integro-differential equation and the given conditions into the matrix equation which corresponds to a system of nonlinear algebraic equations with unknown TAYLOR expansion coefficients, so that the solution of this system yields the TAYLOR expansion coefficients of the solution function. Then, the performance of the method is evaluated with some examples.

Cites

NUMERICAL SOLUTION OF THE MOST GENERAL NONLINEAR FREDHOLM INTEGRO-DIFFERENTIAL-DIFFERENCE EQUATIONS BY USING TAYLOR POLYNOMIAL APPROACH

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APA: Copy

ORDOKHANI, Y., & MOHTASHAMI, M.J.. (2010). APPROXIMATE SOLUTION OF NONLINEAR FREDHOLM INTEGRO- DIFFERENTIAL EQUATIONS WITH TIME DELAY BY USING TAYLOR METHOD. JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY), 9(1), 73-84. SID. https://sid.ir/paper/44120/en

Vancouver: Copy

ORDOKHANI Y., MOHTASHAMI M.J.. APPROXIMATE SOLUTION OF NONLINEAR FREDHOLM INTEGRO- DIFFERENTIAL EQUATIONS WITH TIME DELAY BY USING TAYLOR METHOD. JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY)[Internet]. 2010;9(1):73-84. Available from: https://sid.ir/paper/44120/en

IEEE: Copy

Y. ORDOKHANI, and M.J. MOHTASHAMI, “APPROXIMATE SOLUTION OF NONLINEAR FREDHOLM INTEGRO- DIFFERENTIAL EQUATIONS WITH TIME DELAY BY USING TAYLOR METHOD,” JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY), vol. 9, no. 1, pp. 73–84, 2010, [Online]. Available: https://sid.ir/paper/44120/en

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