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

#### Ömür Kürkçü [1]

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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.
Mott polynomials, Matrix method, Collocation points, Error analysis
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Primary Language en Engineering Articles Author: Ömür Kürkçü Publication Date: December 31, 2018
 Bibtex @research article { estubtda515781, journal = {Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering}, issn = {2667-4211}, address = {Eskişehir Teknik Üniversitesi}, year = {2018}, volume = {19}, pages = {844 - 857}, doi = {10.18038/aubtda.409056}, title = {A NEW NUMERICAL METHOD FOR SOLVING DELAY INTEGRAL EQUATIONS WITH VARIABLE BOUNDS BY USING GENERALIZED MOTT POLYNOMIALS}, key = {cite}, author = {Kürkçü, Ömür} } 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. DOI: 10.18038/aubtda.409056 MLA Kürkçü, Ö . "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 (2018): 844-857 Chicago Kürkçü, Ö . "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 (2018): 844-857 RIS TY - JOUR T1 - A NEW NUMERICAL METHOD FOR SOLVING DELAY INTEGRAL EQUATIONS WITH VARIABLE BOUNDS BY USING GENERALIZED MOTT POLYNOMIALS AU - Ömür Kürkçü Y1 - 2018 PY - 2018 N1 - doi: 10.18038/aubtda.409056 DO - 10.18038/aubtda.409056 T2 - Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering JF - Journal JO - JOR SP - 844 EP - 857 VL - 19 IS - 4 SN - 2667-4211- M3 - doi: 10.18038/aubtda.409056 UR - https://doi.org/10.18038/aubtda.409056 Y2 - 2018 ER - EndNote %0 Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering A NEW NUMERICAL METHOD FOR SOLVING DELAY INTEGRAL EQUATIONS WITH VARIABLE BOUNDS BY USING GENERALIZED MOTT POLYNOMIALS %A Ömür Kürkçü %T A NEW NUMERICAL METHOD FOR SOLVING DELAY INTEGRAL EQUATIONS WITH VARIABLE BOUNDS BY USING GENERALIZED MOTT POLYNOMIALS %D 2018 %J Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering %P 2667-4211- %V 19 %N 4 %R doi: 10.18038/aubtda.409056 %U 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 2019): 844-857. https://doi.org/10.18038/aubtda.409056 AMA Kürkçü Ö . 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. 2018; 19(4): 844-857. Vancouver Kürkçü Ö . 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. 2018; 19(4): 857-844.