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*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
35K10, 35K55, 65D99, 65B99, Asymptortc convergence, Orthogonal collocation, Finite element, Singular perturbation