A local meshless method to approximate the time-fractional telegraph equation

[1]  Ö. Oruç A Meshfree Computational Approach Based on Multiple-Scale Pascal Polynomials for Numerical Solution of a 2D Elliptic Problem with Nonlocal Boundary Conditions , 2020 .

[2]  Ömer Oruç,et al.  A meshless multiple-scale polynomial method for numerical solution of 3D convection–diffusion problems with variable coefficients , 2020, Eng. Comput..

[3]  Ömer Oruç,et al.  Two meshless methods based on local radial basis function and barycentric rational interpolation for solving 2D viscoelastic wave equation , 2020, Comput. Math. Appl..

[4]  Akanksha Bhardwaj,et al.  A local meshless method for time fractional nonlinear diffusion wave equation , 2020, Numerical Algorithms.

[5]  Ö. Oruç Numerical solution to the deflection of thin plates using the two-dimensional Berger equation with a meshless method based on multiple-scale Pascal polynomials , 2019, Applied Mathematical Modelling.

[6]  Akanksha Bhardwaj,et al.  A meshless local collocation method for time fractional diffusion wave equation , 2019, Comput. Math. Appl..

[7]  Zhibo Wang,et al.  Fast high order difference schemes for the time fractional telegraph equation , 2019, Numerical Methods for Partial Differential Equations.

[8]  T. Nikazad,et al.  Numerical investigation of the nonlinear modified anomalous diffusion process , 2019, Nonlinear Dynamics.

[9]  Ali Zaghian,et al.  Application of meshless local Petrov–Galerkin technique to simulate two-dimensional time-fractional Tricomi-type problem , 2019, Journal of the Brazilian Society of Mechanical Sciences and Engineering.

[10]  Ali Zaghian,et al.  An efficient meshless computational technique to simulate nonlinear anomalous reaction–diffusion process in two-dimensional space , 2019, Nonlinear Dynamics.

[11]  R. Pandey,et al.  Numerical scheme with convergence for a generalized time‐fractional Telegraph‐type equation , 2019, Numerical Methods for Partial Differential Equations.

[12]  B. Sepehrian,et al.  Numerical Solution of Nonlinear Time-Fractional Telegraph Equation by Radial Basis Function Collocation Method , 2018 .

[13]  YangQuan Chen,et al.  A new collection of real world applications of fractional calculus in science and engineering , 2018, Commun. Nonlinear Sci. Numer. Simul..

[14]  Ö. Oruç A numerical procedure based on Hermite wavelets for two-dimensional hyperbolic telegraph equation , 2018, Engineering with Computers.

[15]  Xinkai Li,et al.  A RBF-based differential quadrature method for solving two-dimensional variable-order time fractional advection-diffusion equation , 2018, J. Comput. Phys..

[16]  E. Shivanian,et al.  Capillary formation in tumor angiogenesis through meshless weak and strong local radial point interpolation , 2018, Engineering with Computers.

[17]  Ali Zaghian,et al.  A local weak form meshless method to simulate a variable order time-fractional mobile–immobile transport model , 2018 .

[18]  Jian Huang,et al.  Numerical approximation of a time-fractional Black-Scholes equation , 2018, Comput. Math. Appl..

[19]  Mehdi Dehghan,et al.  A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation , 2018, Comput. Math. Appl..

[20]  Elyas Shivanian,et al.  An improved spectral meshless radial point interpolation for a class of time-dependent fractional integral equations: 2D fractional evolution equation , 2017, J. Comput. Appl. Math..

[21]  Rob H. De Staelen,et al.  Numerically pricing double barrier options in a time-fractional Black-Scholes model , 2017, Comput. Math. Appl..

[22]  Ying Wang,et al.  Generalized finite difference/spectral Galerkin approximations for the time-fractional telegraph equation , 2017 .

[23]  Fengying Zhou,et al.  Numerical Solution of Time-Fractional Diffusion-Wave Equations via Chebyshev Wavelets Collocation Method , 2017 .

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

[25]  Mehdi Dehghan,et al.  A finite element method for the numerical solution of Rayleigh–Stokes problem for a heated generalized second grade fluid with fractional derivatives , 2017, Engineering with Computers.

[26]  Mehdi Dehghan,et al.  An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate , 2017, Numerical Algorithms.

[27]  Rezvan Salehi,et al.  A meshless point collocation method for 2-D multi-term time fractional diffusion-wave equation , 2017, Numerical Algorithms.

[28]  Mostafa Abbaszadeh,et al.  Analysis of a meshless method for the time fractional diffusion-wave equation , 2016, Numerical Algorithms.

[29]  Elyas Shivanian,et al.  Spectral meshless radial point interpolation (SMRPI) method to two‐dimensional fractional telegraph equation , 2016 .

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

[31]  A. Esen,et al.  A unified approach for the numerical solution of time fractional Burgers’ type equations , 2016 .

[32]  Ali Zaghian,et al.  A meshfree method based on the radial basis functions for solution of two-dimensional fractional evolution equation , 2015 .

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

[34]  Mehdi Dehghan,et al.  Error estimate for the numerical solution of fractional reaction-subdiffusion process based on a meshless method , 2015, J. Comput. Appl. Math..

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

[36]  Mehdi Dehghan,et al.  The numerical solution of Cahn–Hilliard (CH) equation in one, two and three-dimensions via globally radial basis functions (GRBFs) and RBFs-differential quadrature (RBFs-DQ) methods , 2015 .

[37]  Elyas Shivanian,et al.  Meshless local radial point interpolation (MLRPI) on the telegraph equation with purely integral conditions , 2014 .

[38]  Mostafa Abbaszadeh,et al.  The meshless method of radial basis functions for the numerical solution of time fractional telegraph equation , 2014 .

[39]  R. C. Mittal,et al.  A numerical study of two dimensional hyperbolic telegraph equation by modified B-spline differential quadrature method , 2014, Appl. Math. Comput..

[40]  V. Vyawahare,et al.  Fractional-order modeling of neutron transport in a nuclear reactor , 2013 .

[41]  Mojtaba Ranjbar,et al.  A numerical method for solving a fractional partial differential equation through converting it into an NLP problem , 2013, Comput. Math. Appl..

[42]  Changpin Li,et al.  Fractional difference/finite element approximations for the time-space fractional telegraph equation , 2012, Appl. Math. Comput..

[43]  Changpin Li,et al.  A finite difference method for time-fractional telegraph equation , 2012, Proceedings of 2012 IEEE/ASME 8th IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications.

[44]  Xuan Zhao,et al.  Compact Alternating Direction Implicit Scheme for the Two-Dimensional Fractional Diffusion-Wave Equation , 2012, SIAM J. Numer. Anal..

[45]  Yingzhen Lin,et al.  Representation of exact solution for the time-fractional telegraph equation in the reproducing kernel space , 2011 .

[46]  S. Das,et al.  An approximate analytical solution of time-fractional telegraph equation , 2011, Appl. Math. Comput..

[47]  Mehdi Dehghan,et al.  The use of He's variational iteration method for solving the telegraph and fractional telegraph equations , 2011 .

[48]  Ahmet Yildirim,et al.  He's homotopy perturbation method for solving the space- and time-fractional telegraph equations , 2010, Int. J. Comput. Math..

[49]  Mehdi Dehghan,et al.  Combination of meshless local weak and strong (MLWS) forms to solve the two dimensional hyperbolic telegraph equation , 2010 .

[50]  Hongguang Sun,et al.  Fractional diffusion equations by the Kansa method , 2010, Comput. Math. Appl..

[51]  Mehdi Dehghan,et al.  A numerical method for solving the hyperbolic telegraph equation , 2008 .

[52]  Fawang Liu,et al.  Analytical solution for the time-fractional telegraph equation by the method of separating variables , 2008 .

[53]  Zhi‐zhong Sun,et al.  A fully discrete difference scheme for a diffusion-wave system , 2006 .

[54]  Shaher Momani,et al.  Analytic and approximate solutions of the space- and time-fractional telegraph equations , 2005, Appl. Math. Comput..

[55]  Francesco Mainardi,et al.  Fractional Diffusive Waves , 2001 .

[56]  R. Hilfer Applications Of Fractional Calculus In Physics , 2000 .

[57]  R. Bagley,et al.  A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity , 1983 .

[58]  Alaattin Esen,et al.  A haar wavelet approximation for two-dimensional time fractional reaction–subdiffusion equation , 2018, Engineering with Computers.

[59]  Mehdi Dehghan,et al.  An implicit RBF meshless approach for solving the time fractional nonlinear sine-Gordon and Klein–Gordon equations , 2015 .

[60]  Wen Chen,et al.  Numerical solution of fractional telegraph equation by using radial basis functions , 2014 .

[61]  Fawang Liu,et al.  A RBF meshless approach for modeling a fractal mobile/immobile transport model , 2014, Appl. Math. Comput..

[62]  Xuan Zhao,et al.  Compact difference scheme for the fractional sub-diffusion equation with Neumann boundary conditions , 2013, J. Comput. Phys..

[63]  Enrico Scalas,et al.  Fractional Calculus and Continuous-Time Finance III : the Diffusion Limit , 2001 .

[64]  Jacek Banasiak,et al.  Singularly perturbed telegraph equations with applications in the random walk theory , 1998 .