The Kansa RBF Method With Auxiliary Boundary Centres For Fourth Order Boundary Value Problems
Mathematics and Natural Sciences
© 2020 International Association for Mathematics and Computers in Simulation (IMACS) We consider the application of the Kansa-radial basis function (RBF) collocation method to two-dimensional fourth order boundary value problems (BVPs). The presence of two boundary conditions makes it necessary to use a second set of centres corresponding to the second boundary condition. One option is to take these centres on the boundary but at different positions to the original boundary centres. A second option is to place them on a curve surrounding the physical boundary of the problem under consideration. The two approaches are applied to several numerical examples and their results are compared and analysed.
Mathematics and Computers in Simulation
(2021). The Kansa RBF Method With Auxiliary Boundary Centres For Fourth Order Boundary Value Problems. Mathematics and Computers in Simulation, 181, 581-597.
Available at: https://aquila.usm.edu/fac_pubs/18343