The Exponential Cubic B-spline Algorithm for Burgers's Equation
arXiv:1604.044182 citationsh-index: 37
Originality Synthesis-oriented
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Provides a numerical method improvement for solving Burgers' equation, which is a model for nonlinear convection-diffusion phenomena.
The authors applied exponential cubic B-spline collocation to solve Burgers' equation and tested it on four benchmark problems, demonstrating improved accuracy over standard methods.
The exponential cubic B-spline functions are used to set up the collocation method for finding solutions of the Burgers's equation. The effect of the exponential cubic B-splines in the collocation method is sought by studying four text problems.