1Department of Mathematics, Punjabi University, Patiala147002, Punjab, India
2Department of Mathematics, College of Natural and Computational Science, Jigjiga University, Jigjiga, Ethiopia
3Department of Mathematics, MM Modi College, Patiala-147001, Punjab, India
*Corresponding Author E-mail-id: aroshelly@gmail.com
In the present study, orthogonal collocation method has been followed to discretize the non-linear Burger equation. Shifted Jacobi polynomials has been chosen as base functions. The problem is approximated for different values of αandβ. Numerical values obtained for different values of α and β have been compared to the exact ones. The stability analysis has been done by von Neumann approach. The technique is found to be unconditionally stable for any choice of base function.
Burger equation, Jacobi polynomials, Collocation points, Orthogonal collocation, 35K10, 35K55, 65M12, 65M70
