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Finite Pointset Method for biharmonic equations
Authors:L Jones Tarcius Doss  N Kousalya
Affiliation:Department of Mathematics, Anna University, Chennai, India
Abstract:Finite pointset method is one of the grid free methods that is used to solve differential equations arising from physical problems. It is a local iterative procedure based on weighted least square approximation technique. In this paper, biharmonic equation with simply supported, clamped and Cahn–Hilliard type boundary conditions, is solved using the finite pointset method. Numerical examples illustrate the efficiency of the method.
Keywords:Meshfree method  Finite pointset method (FPM)  Biharmonic equation  Weighted Least Squares method
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