Osculatory interpolation in the method of fundamental solution for nonlinear Poisson problems

摘要: Abstract The Method of Fundamental Solution (also known as the F-Trefftz method or singularity method) is an efficient numerical for solution Laplace equation both two- and three-dimensional problems. In recent years, has also been applied Poisson equations by finding particular to nonhomogeneous terms. general, approximate solutions are constructed using interpolation terms radial basis functions. validated in papers. This paper presents improvement procedure such achieved functions called osculatory Such make use normal gradient at boundary obtain improved interpolation. efficacy demonstrated some prototypical nonlinear problems multiple equations.