An Element-free Galerkin method for solving the two-dimensional hyperbolic problem

[1]  Elyas Shivanian,et al.  Analysis of the Time Fractional 2-D Diffusion-Wave Equation via Moving Least Square (MLS) Approximation , 2017 .

[2]  Vahid Reza Hosseini,et al.  Local radial point interpolation (MLRPI) method for solving time fractional diffusion-wave equation with damping , 2016, J. Comput. Phys..

[3]  Elyas Shivanian Local integration of population dynamics via moving least squares approximation , 2015, Engineering with Computers.

[4]  Saeid Abbasbandy,et al.  Local integration of 2-D fractional telegraph equation via moving least squares approximation , 2015 .

[5]  Wen Chen,et al.  Local integration of 2-D fractional telegraph equation via local radial point interpolant approximation , 2015 .

[6]  E. Ozturk,et al.  Nonlinear intersubband absorption and refractive index change in n-type δ-doped GaAs for different donor distributions , 2015 .

[7]  K. M. Liew,et al.  Numerical study of the three-dimensional wave equation using the mesh-free kp-Ritz method , 2013 .

[8]  Y. Duan,et al.  Convergence estimate of the RBF-based meshless method for initial-boundary value problem of wave equations , 2012 .

[9]  Shamsul Qamar,et al.  Numerical solution of a multi-dimensional batch crystallization model with fines dissolution , 2011, Comput. Chem. Eng..

[10]  Wei Liu,et al.  A two-grid method for finite volume element approximations of second-order nonlinear hyperbolic equations , 2010, J. Comput. Appl. Math..

[11]  Moses O. Tadé,et al.  High-resolution method for numerically solving PDEs in process engineering , 2008, Comput. Chem. Eng..

[12]  E. Kansa Exact explicit time integration of hyperbolic partial differential equations with mesh free radial basis functions , 2007 .

[13]  R. LeVeque Finite Volume Methods for Hyperbolic Problems: Characteristics and Riemann Problems for Linear Hyperbolic Equations , 2002 .

[14]  E. Tadmor,et al.  New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection—Diffusion Equations , 2000 .

[15]  Ted Belytschko,et al.  An introduction to programming the meshless Element F reeGalerkin method , 1998 .

[16]  S. Atluri,et al.  A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics , 1998 .

[17]  Mark A Fleming,et al.  Meshless methods: An overview and recent developments , 1996 .

[18]  Pindzola,et al.  Total ionization cross section for electron-hydrogen scattering using a time-dependent close-coupling method. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[19]  T. Belytschko,et al.  Element‐free Galerkin methods , 1994 .

[20]  Barry Koren,et al.  A robust upwind discretization method for advection, diffusion and source terms , 1993 .

[21]  Joseph J Monaghan,et al.  An introduction to SPH , 1987 .

[22]  P. Lancaster,et al.  Surfaces generated by moving least squares methods , 1981 .