Affiliation:
1. Central Research Division Laboratory, Research Department, Mobil Oil Corporation, Princeton, New Jersey
Abstract
The Method of Lines, a numerical technique commonly used for solving partial differential equations on analog computers, is used to attain digital computer solutions of such equations. An extensive theoretical development is presented that establishes convergence and stability for one-dimensional parabolic equations with Dirichlet boundary conditions. A new modification of the method, using noncentral differences, is shown to be much faster, in terms of computer time, than conventional grid methods, for two examples.
Publisher
Association for Computing Machinery (ACM)
Subject
Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software
Reference7 articles.
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