Efficient Numerical Solution of Diffusion Convection Problem of Chemical Engineering

Abstract

In this paper, the cubic B-spline collocation scheme is implemented to find numerical solution of diffusion convection problem of chemical engineering. The scheme is based on the Crank–Nicolson formulation for time integration and cubic B-spline functions for space integration. The numerical results are found to be in good agreement with the exact solutions. Results are also shown graphically and are compared with results given in the literature.

Keywords: Diffusion; Cubic B-spline; Collocation; Tridiagonal system; Thomas algorithm.