A Trigonometric Cubic B-spline Finite Element Method for Solving the Nonlinear Coupled Burger Equation
This is an incremental method for solving coupled Burgers equations, a specific PDE system.
The authors solve the nonlinear coupled Burgers equation using a trigonometric cubic B-spline collocation method with Crank-Nicolson time integration, demonstrating accuracy on three test problems.
The coupled Burgers equation is solved by way of the trigonometric B-spline collocation method. The unknown of the coupled Burgers equation is integrated in time by aid of the Crank-Nicolson method. Resulting time-integrated coupled Burgers equation is discretized using the trigonometric cubic B-spline collocation method. Fully-integrated couupled Burgers equation which is a system of nonlinear algebraic equation is solved with a variant of Thomas algorithm. The three model test problems are studied to illustrate the accuracy of the suggested method.