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This paper considers the torsional stiffness of long bones. The phenomenon of long-bone twisting is a boundary value problem. We propose to solve the problem by a numerical procedure based on a meshfree method, the method of fundamental solutions.

This paper presents the properties of non-Newtonian fluid flow in a porous medium. A numerical study on Brinkman flow is considered. It is assumed that the flow is isothermal. The governing equations are included. The steady-state problem is considered. The problem is nonlinear, described by coupled equations and boundary conditions. To solve the problem, a method based on the method of fundamental solutions for solving nonlinear boundary problems is proposed. The numerical experiment is performed and results are discussed.

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The aim of this study is implementation of the Homotopy Analysis Method (HAM) and the Method of Fundamental Solution (MFS) for solving a torsion problem of functionally graded orthotropic bars. The boundary value problem is formulated for the Prandtl's stress function, described by partial differential equation of second order with variable coefficients and appropriate boundary conditions. In the solving process the HAM is used to convert nonlinear equation into a linear one with known fundamental solutions. The Method of Fundamental Solutions supported by Radial Basis Functions and Monomials is suggested for calculate this linear boundary value problem. The numerical experiment has been performed to check the accuracy and the convergence of the presented method.