Computer Analysis of Water Distribution Systems: Part II–Numerical Solution

by Chan F. Lam, Asst. Prof.; Dept. of Biometry, Medical Univ. of South Carolina, Charleston, SC,
M. L. Wolla, Assoc. Prof.; Dept. of Electrical and Computer Engrg., Clemson Univ., Clemson, SC,

Serial Information: Journal of the Hydraulics Division, 1972, Vol. 98, Issue 3, Pg. 447-460

Document Type: Journal Paper

Discussion: Donachie Roger P. (See full record)
Discussion: Harrington Joseph J. (See full record)
Discussion: Rao H. S. (See full record)

Abstract: The systems of equations derived in Part I of this paper for water distribution systems have been solved by means of a modified Newton-Raphson method. The modified method does not require a Jacobian matrix and its inverse which are necessary when the Newton-Raphson method is used. In general, the modified Newton-Raphson method converges at a faster rate than the Newton-Raphson method. A method of obtaining initial values so that the iterative solution process will converge is also presented. With this technique, convergence was obtained for all of the examples attempted.

Subject Headings: Water supply systems | Computer analysis | Matrix (mathematics) | Convergence (mathematics) |

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