A local meshless method based on the finite collocation and local integral equations method for delay PDEs
暂无分享,去创建一个
[2] Fengde Chen. On a nonlinear nonautonomous predator-prey model with diffusion and distributed delay , 2005 .
[3] Fractional dynamics and collider phenomenology , 2009 .
[4] Chuanzeng Zhang,et al. Stress analysis in anisotropic functionally graded materials by the MLPG method , 2005 .
[5] Michael Y. Li,et al. Asymptotic stability of travelling waves for Nicholson's blowflies equation with diffusion , 2004, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.
[6] Stephen A. Gourley,et al. A Delay Reaction-Diffusion Model of the Spread of Bacteriophage Infection , 2004, SIAM J. Appl. Math..
[7] Wen Chen,et al. A new formulation of regularized meshless method applied to interior and exterior anisotropic potential problems , 2013 .
[8] Liviu Marin,et al. A meshless method for solving the cauchy problem in three-dimensional elastostatics , 2005 .
[9] A. Shirzadi,et al. A local meshless method for Cauchy problem of elliptic PDEs in annulus domains , 2016 .
[10] A. Shirzadi,et al. A local meshless collocation method for solving Landau–Lifschitz–Gilbert equation , 2015 .
[11] Vladimir Sladek,et al. A local integral equation formulation to solve coupled nonlinear reaction–diffusion equations by using moving least square approximation , 2013 .
[12] Graeme Wake,et al. A mathematical model for analysis of the cell cycle in cell lines derived from human tumors , 2003, Journal of mathematical biology.
[13] C. Sebu,et al. The method of fundamental solutions for complex electrical impedance tomography , 2014 .
[14] L. Ling,et al. Convergent overdetermined-RBF-MLPG for solving second order elliptic PDEs , 2013 .
[15] R. Yafia. Dynamics and numerical simulations in a production and development of red blood cells with one delay , 2008 .
[16] Ram N. Mohapatra,et al. An analytical solution for a nonlinear time-delay model in biology , 2009 .
[17] Robert Schaback,et al. On convergent numerical algorithms for unsymmetric collocation , 2009, Adv. Comput. Math..
[18] S. C. Fan,et al. Local multiquadric approximation for solving boundary value problems , 2003 .
[19] S. Atluri,et al. The meshless local Petrov-Galerkin (MLPG) method , 2002 .
[20] S. Abbasbandy,et al. Numerical Simulations for Coupled Pair of Diffusion Equations by MLPG Method , 2011 .
[21] R. Schaback,et al. Results on meshless collocation techniques , 2006 .
[22] Chengjian Zhang,et al. LDG method for reaction-diffusion dynamical systems with time delay , 2011, Appl. Math. Comput..
[23] S. Abbasbandy,et al. MLPG method for two-dimensional diffusion equation with Neumann's and non-classical boundary conditions , 2011 .
[24] Zhixiang Li,et al. Dynamics for a type of general reaction–diffusion model , 2007 .
[25] Fabien Crauste,et al. Global stability of a partial differential equation with distributed delay due to cellular replication , 2003, 0904.2472.
[26] Mehdi Dehghan,et al. MLPG approximation to the p-Laplace problem , 2010 .
[27] S. Atluri,et al. A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics , 1998 .
[28] B. Zubik-Kowal,et al. An iterated pseudospectral method for delay partial differential equations , 2005 .
[29] Li Wang,et al. The compact and Crank-Nicolson ADI schemes for two-dimensional semilinear multidelay parabolic equations , 2016, J. Comput. Appl. Math..
[30] A. Shirzadi. Numerical simulations of 1D inverse heat conduction problems using overdetermined RBF-MLPG method , 2013 .
[31] Alain J. Kassab,et al. Localized Meshless Modeling of Natural-Convective Viscous Flows , 2008 .
[32] Chengjian Zhang,et al. A spectral Galerkin method for nonlinear delay convection-diffusion-reaction equations , 2015, Comput. Math. Appl..
[33] Vladimir Sladek,et al. Fracture analysis in continuously nonhomogeneous magneto-electro-elastic solids under a thermal load by the MLPG , 2010 .
[34] M. Dehghan,et al. Meshless Local Petrov--Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivity , 2009 .
[35] D. Stevens,et al. An alternative local collocation strategy for high-convergence meshless PDE solutions, using radial basis functions , 2013, J. Comput. Phys..
[36] Alain J. Kassab,et al. A localized collocation meshless method (LCMM) for incompressible flows CFD modeling with applications to transient hemodynamics , 2009 .
[37] Walter Allegretto,et al. Stability for delayed reaction–diffusion neural networks , 2007 .
[38] E. Kansa. Multiquadrics—A scattered data approximation scheme with applications to computational fluid-dynamics—I surface approximations and partial derivative estimates , 1990 .
[39] A new implementation of the finite collocation method for time dependent PDEs , 2016 .
[40] S. Abbasbandy,et al. A meshless method for two-dimensional diffusion equation with an integral condition , 2010 .
[41] M. N. Spijker,et al. The stability of the θ-methods in the numerical solution of delay differential equations , 1990 .
[42] Daniel Lesnic,et al. The MFS for numerical boundary identification in two-dimensional harmonic problems , 2011 .
[43] Mohammad Shekarchi,et al. A Fast Adaptive Wavelet scheme in RBF Collocation for nearly singular potential PDEs , 2008 .
[44] A S Mikhailov,et al. Controlling turbulence in a surface chemical reaction by time-delay autosynchronization. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.