On iterative solution of linear equations arising in BVPs of ODEs Original Research Article

An application of the Cimmino projection method to the solution of linear equations arising in the solution of boundary-value problems of ordinary differential equations by a difference method is investigated. The modified Cimmino algorithm converges rapidly to the solution of corresponding linear system Ax = b provided some practical estimations of the diagonal dominance of AAT hold. The algorithm is effectively implementable on vector and multiprocessor computers.