摘要: Abstract The basic ideas of the general boundary element method (BEM) proposed by Liao (The quite BEM for strongly nonlinear problems, in: C. A. Brebbia, S. Kim, T. Osswald, H. Power (Eds.), Boundary Elements XVII , Computational Mechanics Publications, Southampton, 1995, pp. 67–74. International Journal Numerical Methods Fluids 1996, 23 739–751. in 1997, 24 863–873) and Chwang ( 467–483) are further greatly generalized introducing two nonzero parameters to construct homotopies. This is valid including even those whose governing equations conditions do not contain any linear terms. Therefore, it can enlarge application areas as a numerical methodology. A two-dimensional differential equation used verify validity method. Moreover, this example illustrates that, means method, iteration absolutely necessary problems. shakes place iterative methodology might be beneficial us understand essence solving