The alternating group explicit (AGE) method for singularly perturbed boundary value problems
The paper presents a computational method for the solution of singularly perturbed boundary value problems, designed on the basis of the alternating group explicit (AGE) method. The AGE scheme, which is analogous to the alternate direction implicit method and was earlier developed for solving two-point boundary value problems, employs the fractional splitting strategy: it is applied alternately at each half time step. A convergence analysis of the method is given. A parallel implementation of the method is also discussed. The proposed AGE algorithm is well fitted for parallel computing since it is having some groups of independent tasks. The strategy of implementing this algorithm on parallel computers is domain decomposition. Some numerical examples are solved and the solution by this method can be compared with the exact solution by some suggestive plots.
scientific article; zbMATH DE number 753900
scientific article