Third-order MFS for solving two-dimensional Stokes flow problems

Abstract

When the two-dimensional (2D) Stokes equations are formulated as two-coupled third-order partial differential equations, we prove two types particular solutions and develop the corresponding meshless third-order method of fundamental solutions (MFS) to solve the Stokes flow problems. The second MFS with more comprehensive bases is more accurate than the first MFS. Some examples are examined to exhibit the performance of the proposed two novel third-order methods of fundamental solutions.