Solving Some Special Cases of Monomial Ratio Equations Appearing Frequently in Physical and Engineering Problems

Table 5

Comparison among different software packages for solving polynomial systems of equations. The symbol — means that the program was not able to solve it.

Example	Number of equations	Proposed method	Maple (PolynomialSystem)	Mathematica (Solve)	Bertini software
Water supply Example	14	4.88 sec	18.33 sec	13.20 sec	>2 hours
Structure example	30	7.20 sec	—	—	>8 hours
Dancing House	405	12.50 sec	—	—	>8 hours