An algorithm based on exponential modified cubic B-spline differential quadrature method for nonlinear Burgers’ equation

Mohammad Tamsir, Vineet K. Srivastava and Ram Jiwari

Applied Mathematics and Computation, 2016, vol. 290, issue C, 111-124

Abstract: In this paper, the authors developed a new differential quadrature method "exponential modified cubic B-spline differential quadrature method (Expo-MCB-DQM)” by using exponential modified cubic B-spline functions as test functions in the traditional differential quadrature method [32]. The new method is tested on one and two dimensional nonlinear Burgers’ equations. To check the efficiency and accuracy of the proposed method five numerical problems have been considered. The numerical results of the method are compared with some existing methods and found that the proposed numerical method produces more accurate results than existing methods. Stability analysis of the algorithm is also done by using matrix stability analysis method.

Keywords: Expo-MCB-DQM; Burgers’ equation; SSP-RK54 method; Stability analysis (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:290:y:2016:i:c:p:111-124

DOI: 10.1016/j.amc.2016.05.048

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