BERNOULLI COLLOCATION METHOD WITH RESIDUAL CORRECTION FOR SOLVING INTEGRAL-ALGEBRAIC EQUATIONS

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MIRZAEE F.

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Journal Paper

Paper Information

Journal: Journal of Linear and Topological Algebra Year:2015 | Volume:4 | Issue:3 Page(s): 193-208

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Information Journal Paper

Title

BERNOULLI COLLOCATION METHOD WITH RESIDUAL CORRECTION FOR SOLVING INTEGRAL-ALGEBRAIC EQUATIONS

Author(s)

MIRZAEE F. | Issue Writer Certificate

Keywords

INTEGRAL ALGEBRAIC EQUATIONS

APPROXIMATE SOLUTIONS

BERNOULLI COLLOCATION METHOD

ERROR ANALYSIS

Abstract

The principal aim of this paper is to serve the numerical solution of an integral-algebraic equation (IAE) by using the Bernoulli polynomials and the residual correction method. After implementation of our scheme, the main problem would be transformed into a system of algebraic equations such that its solutions are the unknown Bernoulli coefficients.This method gives an analytic solution when the exact solutions are polynomials. Also, an ERROR ANALYSIS based on the use of the Bernoulli polynomials is provided under several mild conditions. Several examples are included to illustrate the efficiency and accuracy of the proposed technique and also the results are compared with the different methods.

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References

SOLVING SYSTEMS OF LINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS WITH FIBONACCI POLYNOMIALS

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APA: Copy

MIRZAEE, F.. (2015). BERNOULLI COLLOCATION METHOD WITH RESIDUAL CORRECTION FOR SOLVING INTEGRAL-ALGEBRAIC EQUATIONS. JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA, 4(3), 193-208. SID. https://sid.ir/paper/335633/en

Vancouver: Copy

MIRZAEE F.. BERNOULLI COLLOCATION METHOD WITH RESIDUAL CORRECTION FOR SOLVING INTEGRAL-ALGEBRAIC EQUATIONS. JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA[Internet]. 2015;4(3):193-208. Available from: https://sid.ir/paper/335633/en

IEEE: Copy

F. MIRZAEE, “BERNOULLI COLLOCATION METHOD WITH RESIDUAL CORRECTION FOR SOLVING INTEGRAL-ALGEBRAIC EQUATIONS,” JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA, vol. 4, no. 3, pp. 193–208, 2015, [Online]. Available: https://sid.ir/paper/335633/en

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