Nonlinear Neumann Boundary Value Problems
KENDALL E. ATKINSON, David Chien, Olaf Hansen · 2019
This chapter provides solutions to nonlinear Neumann boundary value problems using multivariate polynomials on the unit ball. It defines the numerical method and provides numerical examples. The chapter assumes the problem of the numerical method has a solution that is locally unique in some appropriate Sobolev space. The Matlab program fsolve was used to solve the nonlinear system.