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

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ADIBI H.; TAHERIAN A.

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

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Journal: INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION Year:2012 | Volume:2 | Issue:4 Page(s): 283-298

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Title

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

Author(s)

ADIBI H. | TAHERIAN A. | Issue Writer Certificate

Keywords

NONLINEAR FREDHOLM INTEGRO-DIFFERENTIAL-DIFFERENCE EQUATIONS

TAYLOR SERIES

Abstract

In this study, a Taylor method is developed for numerically solving the high-order most general NONLINEAR FREDHOLM INTEGRO-DIFFERENTIAL-DIFFERENCE EQUATIONS in terms of Taylor expansions. The method is based on transferring the equation and conditions into the matrix equations which leads to solve a system of nonlinear algebraic equations with the unknown Taylor coefficients. Also, we test the method by numerical examples.

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APA: Copy

ADIBI, H., & TAHERIAN, A.. (2012). NUMERICAL SOLUTION OF THE MOST GENERAL NONLINEAR FREDHOLM INTEGRO-DIFFERENTIAL-DIFFERENCE EQUATIONS BY USING TAYLOR POLYNOMIAL APPROACH. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, 2(4), 283-298. SID. https://sid.ir/paper/328249/en

Vancouver: Copy

ADIBI H., TAHERIAN A.. NUMERICAL SOLUTION OF THE MOST GENERAL NONLINEAR FREDHOLM INTEGRO-DIFFERENTIAL-DIFFERENCE EQUATIONS BY USING TAYLOR POLYNOMIAL APPROACH. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION[Internet]. 2012;2(4):283-298. Available from: https://sid.ir/paper/328249/en

IEEE: Copy

H. ADIBI, and A. TAHERIAN, “NUMERICAL SOLUTION OF THE MOST GENERAL NONLINEAR FREDHOLM INTEGRO-DIFFERENTIAL-DIFFERENCE EQUATIONS BY USING TAYLOR POLYNOMIAL APPROACH,” INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, vol. 2, no. 4, pp. 283–298, 2012, [Online]. Available: https://sid.ir/paper/328249/en

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