Differential quadrature method for some diffusion-reaction problems

In the paper, differential quadrature method (DQM) is used to find numerical solutions of reactiondiffusion equations with different boundary conditions. The DQM-method changes the reactiondiffusion equation (ordinary differential equation) into a system of algebraic equations. The obtained system is solved using built-in procedures of Maple®(Computer Algebra System-type program). Calculations were performed with Maple®program. The test problems include reaction-diffusion equation applied in heterogeneous catalysis. The method can be employed even in relatively hard tasks (e.g. ill-conditioned, free boundary problems).