1Department of Mathematics, Punjabi University, Patiala-147 002, India
2Department of Mathematics, Sant Longowal Institute of Engineering and Technology Longowal-148 106, India
*Author for Correspondence. E-mail: shellyarora_25@yahoo.co.in
The convergence behaviour of orthogonal collocation on finite elements is checked for parabolic partial differential equations having mixed and Dirichlet's boundary conditions. The rate of convergence is found to be of the order O(h2). The effect of time gradient on the solution profiles is also checked. It is observed that for small values of the coefficients of , the equation reduces to a singular perturbation problem and the influence of time and space gradients increases. The numerical values approach to steady state condition rapidly for small values of the coefficients of .
35K10, 35K55, 65D99, 65B99, Asymptortc convergence, Orthogonal collocation, Finite element, Singular perturbation
