Abstract

RUIZV., JorgeMauricio  and  LEONE., DiegoA.. An introduction to the meshless Finite Pointset Method. Rev. Mat [online]. 2016, vol.23, n.2, pp.389-408. ISSN 1409-2433.

In this work we propose a short and simple introduction of the meshless method known as finite pointset method (FPM).We describe the main concepts involved in the FPM method like: the pointset generation, point neighbors search, the spatial derivatives approximation by the moving least square method and the solution of the resultant ordinary differential system. As application of the method we solve the viscid an inviscid Bugers equation. The numerical solutions are compared with the analytical solution and a convergence analysis via numerical experimentation is performed. We provide the MATLAB codes for the main steps of the FPM method, which can be used to solve more complex problems.

Keywords : meshless method; moving least square method; Burgers equation.

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