Numerical solution of two-dimensional elliptic PDEs with nonlocal boundary conditions

摘要: In the present paper, two numerical methods are analyzed for solution of two-dimensional Poisson equation with different types nonlocal boundary conditions. The first method is a collocation based on Haar wavelet whereas second meshless radial basis functions (RBFs). A two-point condition and an integral conditions considered in work. For new approach formulated which involves approximation fourth order mixed derivative by expansion integrated subsequently to get solution. RBFs, algorithm implemented using splitting schemes (with without shape parameter splitting) model. comparative analysis scheme performed between themselves as well wavelet. Accuracy efficiency wise performance confirmed through application algorithms benchmark tests.