Research Article

A NEW NUMERICAL METHOD FOR SOLVING DELAY INTEGRAL EQUATIONS WITH VARIABLE BOUNDS BY USING GENERALIZED MOTT POLYNOMIALS

Volume: 19 Number: 4 December 31, 2018
  • Ömür Kürkçü
EN

A NEW NUMERICAL METHOD FOR SOLVING DELAY INTEGRAL EQUATIONS WITH VARIABLE BOUNDS BY USING GENERALIZED MOTT POLYNOMIALS

Abstract

In this study, the functional delay integral equations with variable bounds are considered. Their approximate solutions are obtained by using a new method based on matrix, collocation points and the generalized Mott polynomials with the parameter-$\beta$. An error analysis technique consisting of the residual function is performed. The numerical examples are illustrated for the practicability and usability of the method. The behavior of the solutions is monitored in terms of the parameter-$\beta$. The accuracy of the method is scrutinized for different values of N. In addition, the numerical results are discussed in figures and tables.

Keywords

References

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Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Ömür Kürkçü This is me

Publication Date

December 31, 2018

Submission Date

March 23, 2018

Acceptance Date

October 22, 2018

Published in Issue

Year 2018 Volume: 19 Number: 4

APA
Kürkçü, Ö. (2018). A NEW NUMERICAL METHOD FOR SOLVING DELAY INTEGRAL EQUATIONS WITH VARIABLE BOUNDS BY USING GENERALIZED MOTT POLYNOMIALS. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering, 19(4), 844-857. https://doi.org/10.18038/aubtda.409056
AMA
1.Kürkçü Ö. A NEW NUMERICAL METHOD FOR SOLVING DELAY INTEGRAL EQUATIONS WITH VARIABLE BOUNDS BY USING GENERALIZED MOTT POLYNOMIALS. Estuscience - Se. 2018;19(4):844-857. doi:10.18038/aubtda.409056
Chicago
Kürkçü, Ömür. 2018. “A NEW NUMERICAL METHOD FOR SOLVING DELAY INTEGRAL EQUATIONS WITH VARIABLE BOUNDS BY USING GENERALIZED MOTT POLYNOMIALS”. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering 19 (4): 844-57. https://doi.org/10.18038/aubtda.409056.
EndNote
Kürkçü Ö (December 1, 2018) A NEW NUMERICAL METHOD FOR SOLVING DELAY INTEGRAL EQUATIONS WITH VARIABLE BOUNDS BY USING GENERALIZED MOTT POLYNOMIALS. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering 19 4 844–857.
IEEE
[1]Ö. Kürkçü, “A NEW NUMERICAL METHOD FOR SOLVING DELAY INTEGRAL EQUATIONS WITH VARIABLE BOUNDS BY USING GENERALIZED MOTT POLYNOMIALS”, Estuscience - Se, vol. 19, no. 4, pp. 844–857, Dec. 2018, doi: 10.18038/aubtda.409056.
ISNAD
Kürkçü, Ömür. “A NEW NUMERICAL METHOD FOR SOLVING DELAY INTEGRAL EQUATIONS WITH VARIABLE BOUNDS BY USING GENERALIZED MOTT POLYNOMIALS”. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering 19/4 (December 1, 2018): 844-857. https://doi.org/10.18038/aubtda.409056.
JAMA
1.Kürkçü Ö. A NEW NUMERICAL METHOD FOR SOLVING DELAY INTEGRAL EQUATIONS WITH VARIABLE BOUNDS BY USING GENERALIZED MOTT POLYNOMIALS. Estuscience - Se. 2018;19:844–857.
MLA
Kürkçü, Ömür. “A NEW NUMERICAL METHOD FOR SOLVING DELAY INTEGRAL EQUATIONS WITH VARIABLE BOUNDS BY USING GENERALIZED MOTT POLYNOMIALS”. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering, vol. 19, no. 4, Dec. 2018, pp. 844-57, doi:10.18038/aubtda.409056.
Vancouver
1.Ömür Kürkçü. A NEW NUMERICAL METHOD FOR SOLVING DELAY INTEGRAL EQUATIONS WITH VARIABLE BOUNDS BY USING GENERALIZED MOTT POLYNOMIALS. Estuscience - Se. 2018 Dec. 1;19(4):844-57. doi:10.18038/aubtda.409056

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