B-spline Differential Quadrature Method for the Modified Burgers` Equation

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Cankaya University Journal of Science and Engineering
Volume:12 Issue:1
B-spline Differential Quadrature Method for the Modified Burgers` Equation

B-spline Differential Quadrature Method for the Modified Burgers` Equation

Authors : Ali Başhan, Seydi Battal Gazi Karakoc, Turabi Geyikli

Pages : 0-0

View : 17 | Download : 10

Publication Date : 2015-05-01

Article Type : Research Paper

Abstract :In this study, the Quintic B-spline Differential Quadrature method insert ignore into journalissuearticles values(QBDQM); is applied to find the numerical solution of the modified Burgers’ equation insert ignore into journalissuearticles values(MBE);. The efficiency and accuracy of the method are measured by calculating the maximum error norm L∞ and the discrete root mean square error L2. The obtained numerical results are compared with published numerical results and the comparison shows that the method is an effective numerical scheme to solve the MBE. A rate of convergence analysis is also given.
Keywords : Partial differential equations, Differential quadrature method, Modified Burgers equation, Quintic B Splines, Fourth order Runge Kutta method

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