Meshless Analysis of Nonlocal Boundary Value Problems in Anisotropic and Inhomogeneous Media
作者： Zaheer-ud-Din , Muhammad Ahsan , Masood Ahmad , Wajid Khan , Emad E. Mahmoud
DOI: 10.3390/MATH8112045
关键词:
摘要: In this work, meshless methods based on a radial basis function (RBF) are applied for the solution of two-dimensional steady-state heat conduction problems with nonlocal multi-point boundary conditions (NMBC). These procedures multiquadric (MQ) RBF and its modified version (i.e., integrated MQ RBF). The method is extended to NMBC compared standard collocation Kansa’s method). methods, interior solutions approximated sum series, while in method, single series considered. Three different sorts domains considered which Dirichlet or Neumann specified some part unknown values remaining portion related discrete set points. influences accuracy condition number system matrix associated proposed investigated. sensitivity shape parameter also analyzed methods. performance approaches terms efficiency confirmed benchmark problems.
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