ITERATIVE PROCEDURE FOR SOLUTION OF SYSTEMS OF PARABOLIC AND ELLIPTIC EQUATIONS IN 3 DIMENSIONS

An iterative procedure has been developed to solve systems of three-dimensional elliptic and parabolic differential equations. The two-equation algorithm has been tested on an oil reservoir flow problem. The procedure is fast, is insensitive to rounding errors, and in very difficult problems it yields a solution where a procedure such as the alternating direction technique cannot. For the problem tested, a reliable set of iteration parameters is easily calculated from the coefficient matrix. © 1969, American Chemical Society. All rights reserved.