CHEMICAL AND OTHER APPLICATIONS OF THE NUMERICAL-METHOD OF LINES

Many practical problems lead to mathematical models of initial-boundar y-value problems for parabolic differential equations or of similar st ructures. One of these models is solved by an algorithm based on the n umerical method of lines: after semidiscretization in spatial directio n we get time-dependent initial-value problems for ordinary differenti al or differential-algebraic equations, the numerical solution of whic h is performed by suitable solvers. Details of the solution process an d numerical results are presented for some application. The technical parameters, the stiffness of the equations remaining after spatial dis cretization and computational aspects of the algorithm are also discus sed.