Patent Document ID: 8577947
Application ID: 12718322
Patent Flag: 1

Claim One:
1. A method of finding a solution of an equation, the method performed by a non-transitory recording medium for obtaining an approximate solution of an equation having a solution in a predetermined interval, the method comprising: a) calculating, by a processor in the non-transitory recording medium, initial values based on upper and lower limits of the interval; b) applying the initial values to a solution-finding equation which includes a sign function and the upper and lower limits, and arranging the solution-finding equation so that a definite integral formula for the sign function of the equation is included in the solution-finding equation; c) calculating the definite integral formula in the arranged solution-finding equation using numerical integration, and inductively applying results of the calculation of the definite integral formula to the arranged solution-finding equation, thus obtaining an approximate solution; and d) iterating c) until the approximate solution obtained at c) satisfies an allowable error, wherein in a), when the initial values are p (0) =(a+b)/2 and δ (0) =(b −a)/2 when the upper and lower limits of the interval are a and b, respectively.