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An exponential cubic B-spline algorithm for multi-dimensional convection-diffusion equations
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DOI：10.1016/j.aej.2017.04.011.png)
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摘要
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We present a method viz. exponential modified cubic B-spline differential quadrature method (Expo-MCB-DQM) to approximate the numerical solution of 2D and 3D convection-diffusion equations (CDEs). This method is used to approximate the special derivatives whereas time derivative is approximated by using an optimal five stages and fourth order Runge-Kutta (SSP-RK54) scheme. Four examples are chosen to test out the efficiency and accuracy of the method. It is found that the present method turns out more accurate results compared to the results given by other methods. There is wide scope of the present method to be used for numerical solution of several PDEs governing physical, chemical and biological problems. (C) 2017 Faculty of Engineering, Alexandria University Production and hosting by Elsevier B.V.
Keyword:
2D and 3D convection-diffusion equations
Expo-MCB-DQM
SSP-RK54 scheme
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6.8
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6.3K
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2.6W
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