Numerical Solutions of the Gardner Equation via Trigonometric Quintic B-spline Collocation Method

Yıl: 2018 Cilt: 22 Sayı: 6 Sayfa Aralığı: 1576 - 1584 Metin Dili: İngilizce DOI: 10.16984/saufenbilder.342571 İndeks Tarihi: 25-10-2019

Numerical Solutions of the Gardner Equation via Trigonometric Quintic B-spline Collocation Method

Öz:
The main purpose of this paper is to get the numerical solutions of the Gardner equation which are widelyused in various disciplines. For this purpose, the time integration of the system is achieved by the classicalCrank-Nicolson method owing to its large stability region. Space discretization is done by using thetrigonometric quintic B-spline functions. Thus the Gardner equation turns into a penta diagonal matrixequation and the Thomas algorithm is applied owing to lower cost of computation when compared Gaussor Gauss-Jordan elimination methods.
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APA ERSOY HEPSON O (2018). Numerical Solutions of the Gardner Equation via Trigonometric Quintic B-spline Collocation Method. , 1576 - 1584. 10.16984/saufenbilder.342571
Chicago ERSOY HEPSON Ozlem Numerical Solutions of the Gardner Equation via Trigonometric Quintic B-spline Collocation Method. (2018): 1576 - 1584. 10.16984/saufenbilder.342571
MLA ERSOY HEPSON Ozlem Numerical Solutions of the Gardner Equation via Trigonometric Quintic B-spline Collocation Method. , 2018, ss.1576 - 1584. 10.16984/saufenbilder.342571
AMA ERSOY HEPSON O Numerical Solutions of the Gardner Equation via Trigonometric Quintic B-spline Collocation Method. . 2018; 1576 - 1584. 10.16984/saufenbilder.342571
Vancouver ERSOY HEPSON O Numerical Solutions of the Gardner Equation via Trigonometric Quintic B-spline Collocation Method. . 2018; 1576 - 1584. 10.16984/saufenbilder.342571
IEEE ERSOY HEPSON O "Numerical Solutions of the Gardner Equation via Trigonometric Quintic B-spline Collocation Method." , ss.1576 - 1584, 2018. 10.16984/saufenbilder.342571
ISNAD ERSOY HEPSON, Ozlem. "Numerical Solutions of the Gardner Equation via Trigonometric Quintic B-spline Collocation Method". (2018), 1576-1584. https://doi.org/10.16984/saufenbilder.342571
APA ERSOY HEPSON O (2018). Numerical Solutions of the Gardner Equation via Trigonometric Quintic B-spline Collocation Method. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 22(6), 1576 - 1584. 10.16984/saufenbilder.342571
Chicago ERSOY HEPSON Ozlem Numerical Solutions of the Gardner Equation via Trigonometric Quintic B-spline Collocation Method. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22, no.6 (2018): 1576 - 1584. 10.16984/saufenbilder.342571
MLA ERSOY HEPSON Ozlem Numerical Solutions of the Gardner Equation via Trigonometric Quintic B-spline Collocation Method. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol.22, no.6, 2018, ss.1576 - 1584. 10.16984/saufenbilder.342571
AMA ERSOY HEPSON O Numerical Solutions of the Gardner Equation via Trigonometric Quintic B-spline Collocation Method. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2018; 22(6): 1576 - 1584. 10.16984/saufenbilder.342571
Vancouver ERSOY HEPSON O Numerical Solutions of the Gardner Equation via Trigonometric Quintic B-spline Collocation Method. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2018; 22(6): 1576 - 1584. 10.16984/saufenbilder.342571
IEEE ERSOY HEPSON O "Numerical Solutions of the Gardner Equation via Trigonometric Quintic B-spline Collocation Method." Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 22, ss.1576 - 1584, 2018. 10.16984/saufenbilder.342571
ISNAD ERSOY HEPSON, Ozlem. "Numerical Solutions of the Gardner Equation via Trigonometric Quintic B-spline Collocation Method". Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22/6 (2018), 1576-1584. https://doi.org/10.16984/saufenbilder.342571