# Boole approximation method with residual error function to solve linear Volterra integro-differential equations

Öz In this study, a numerical method is developed for the approximate solution of the linear Volterra integro-differential equations. This method is based Boole polynomial, its derivatives and the collocation points. The aim is to reduce the given problem, as the linear algebraic equation, to the matrix equation. This matrix equation is solved using Boole collocation points. As a result, the approximate solution is obtained in the truncated Boole series in the interval [a,b]. The exact solution and the approximate solution are included in the study. Also, the error analysis and residual correction calculations are performed in the study. The results have been obtained by using computer program MATLAB.
Anahtar Kelimeler:

## Boole polynomial, linear Volterra integro-differential equation, collocation points, approximate solutions, Residual error analysis

#### Kaynakça

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#### Kaynak Göster

 Bibtex `@araştırma makalesi { cbayarfbe791302, journal = {Celal Bayar University Journal of Science}, issn = {1305-130X}, eissn = {1305-1385}, address = {}, publisher = {Celal Bayar Üniversitesi}, year = {2020}, volume = {17}, pages = {59 - 66}, doi = {10.18466/cbayarfbe.791302}, title = {Boole approximation method with residual error function to solve linear Volterra integro-differential equations}, key = {cite}, author = {Erdem Biçer, Kübra and Dağ, Hale Gül} }` APA Erdem Biçer, K , Dağ, H . (2020). Boole approximation method with residual error function to solve linear Volterra integro-differential equations . Celal Bayar University Journal of Science , 17 (1) , 59-66 . DOI: 10.18466/cbayarfbe.791302 MLA Erdem Biçer, K , Dağ, H . "Boole approximation method with residual error function to solve linear Volterra integro-differential equations" . Celal Bayar University Journal of Science 17 (2020 ): 59-66 Chicago Erdem Biçer, K , Dağ, H . "Boole approximation method with residual error function to solve linear Volterra integro-differential equations". Celal Bayar University Journal of Science 17 (2020 ): 59-66 RIS TY - JOUR T1 - Boole approximation method with residual error function to solve linear Volterra integro-differential equations AU - Kübra Erdem Biçer , Hale Gül Dağ Y1 - 2020 PY - 2020 N1 - doi: 10.18466/cbayarfbe.791302 DO - 10.18466/cbayarfbe.791302 T2 - Celal Bayar University Journal of Science JF - Journal JO - JOR SP - 59 EP - 66 VL - 17 IS - 1 SN - 1305-130X-1305-1385 M3 - doi: 10.18466/cbayarfbe.791302 UR - https://doi.org/10.18466/cbayarfbe.791302 Y2 - 2021 ER - EndNote %0 Celal Bayar Üniversitesi Fen Bilimleri Dergisi Boole approximation method with residual error function to solve linear Volterra integro-differential equations %A Kübra Erdem Biçer , Hale Gül Dağ %T Boole approximation method with residual error function to solve linear Volterra integro-differential equations %D 2020 %J Celal Bayar University Journal of Science %P 1305-130X-1305-1385 %V 17 %N 1 %R doi: 10.18466/cbayarfbe.791302 %U 10.18466/cbayarfbe.791302 ISNAD Erdem Biçer, Kübra , Dağ, Hale Gül . "Boole approximation method with residual error function to solve linear Volterra integro-differential equations". Celal Bayar University Journal of Science 17 / 1 (Aralık 2020): 59-66 . https://doi.org/10.18466/cbayarfbe.791302 AMA Erdem Biçer K , Dağ H . Boole approximation method with residual error function to solve linear Volterra integro-differential equations. Celal Bayar Univ J Sci. 2020; 17(1): 59-66. Vancouver Erdem Biçer K , Dağ H . Boole approximation method with residual error function to solve linear Volterra integro-differential equations. Celal Bayar University Journal of Science. 2020; 17(1): 59-66. IEEE K. Erdem Biçer ve H. Dağ , "Boole approximation method with residual error function to solve linear Volterra integro-differential equations", Celal Bayar University Journal of Science, c. 17, sayı. 1, ss. 59-66, Ara. 2021, doi:10.18466/cbayarfbe.791302 21274 12107

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