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A modified Newton-Raphson method is presented in this paper.It consists of introducing relaxationfactor ω and parameter a into general Newton-Raphson method.Since physical variables are reasonablyupdated in a physically meaningful range at each of the iterations,they converge smoothly to a solutionto the problem.This method was examined by applying it into some examples.The results show thatthe present method was characterized by more rapid rate of convergence and better stability than eitherNewton-Raphson method or successive substitution.
A modified Newton-Raphson method is presented in this paper. It consists of introducing relaxationfactor ω and parameter a into general Newton-Raphson method. Since physical variables are reasonablyupdated in a physically meaningful range at each of the iterations, they converge smoothly to a solutionto the problem. This method was examined by applying it into some examples. The results show that the present method was characterized by more rapid rate of convergence and better stability than either Newton-Raphson method or successive substitution.