Solution of parabolic PDEs by modified quintic B-spline Crank-Nicolson collocation method

Solution of parabolic PDEs by modified quintic B-spline Crank-Nicolson collocation method

In this paper, we present a Crank-Nicolson collocation method based on modified Quintic B-splines for parabolic PDEs. The time-dependent convection–diffusion equation (CDE) and Burgers’ equation are considered. The integration of the problem is handled by using a modified quintic B-spline, over Cran...

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Bibliographic Details
Main Authors: Mohammad Tamsir, Neeraj Dhiman, Amit Chauhan, Anand Chauhan
Format: Article
Language:English
Published: Elsevier 2021-06-01
Series:Ain Shams Engineering Journal
Subjects:
Quintic B-spline basis functions
Convection-diffusion equation
Burgers’ equation
C-N scheme
Gauss elimination method
Stability
Online Access:http://www.sciencedirect.com/science/article/pii/S2090447920302367

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http://www.sciencedirect.com/science/article/pii/S2090447920302367

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