An Exponential Cubic B-spline Finite Element Method for Solving the Nonlinear Coupled Burger Equation
arXiv:1503.004563 citationsh-index: 11
Originality Synthesis-oriented
AI Analysis
Provides an accurate numerical method for solving coupled Burgers' equations, which are important in fluid dynamics and other fields.
The paper develops an exponential cubic B-spline finite element method combined with the Crank-Nicolson scheme to solve the nonlinear coupled Burgers' equation, achieving high accuracy on three test problems compared to existing methods.
The exponential cubic B-spline functions together with Crank Nicolson are used to solve numerically the nonlinear coupled Burgers' equation using collocation method. This method has been tested by three different problems. The proposed scheme is compared with some existing methods. We have noticed that proposed scheme produced a highly accurate results.