A meshless method for solving nonhomogeneous Cauchy problems

• Autores: Ming Li, C.S. Chen, Y. C. Hon
• Localización: Engineering analysis with boundary elements, ISSN 0955-7997, Vol. 35, Nº. 3, 2011, págs. 499-506
• Idioma: inglés
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• Resumen

  • In this paper the method of fundamental solutions (MFS) and the method of particular solution (MPS) are combined as a one-stage approach to solve the Cauchy problem for Poisson's equation. The main idea is to approximate the solution of Poisson's equation using a linear combination of fundamental solutions and radial basis functions. As a result, we provide a direct and effective meshless method for solving inverse problems with inhomogeneous terms. Numerical results in 2D and 3D show that our proposed method is effective for Cauchy problems.