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Publications

Journal Papers
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A new approach for solving Volterra integral equations using the reproducing kernel method January 2017
Space-dependent source determination in a time-fractional diffusion equation using a local discontinuous Galerkin method Summer 2017
Using a LDG method for solving an inverse source problem of the time-fractional diffusion equation Summer 2017
Some error estimates for solving Volterra integral equations by using the reproducing kernel method Winter 2015
Solving an inverse problem for a parabolic equation with a nonlocal boundary condition in the reproducing kernel space Winter 2014
A New Compact Finite Difference Method for Solving the Generalized Regularized Long Wave Equation February 2014
A Reproducing Kernel Method for Solving a Class of Nonlinear Systems of PDEs April 2014
Some error estimates for solving Volterra integral equations by using the reproducing kernel method Fall 2014
Discrete-ordinates and streamline diffusion methods for a flow described by BGK model August 2014
A meshless method for solving the 2D Brusselator reaction-diffusion system Fall 2014
Solving two parabolic inverse problems with a nonlocal boundary condition in the reproducing kernel space January 2014
A new algorithm for solving one-dimensional Schrodinger equations in the reproducing kernel space October 2013
A Galerkin-reproducing kernel method: application to the 2D nonlinear coupled Burgers' equations November 2013
Numerical solution of the Schrödinger equations by using Delta-shaped basis functions May 2013
Reproducing Kernel Method for Solving Nonlinear Differential-Difference Equations August 2012
Numerical solution of the regularized long wave equation using nonpolynomial splines July 2012
A meshless method for solving mKdV equation July 2012
Solving the generalized regularized long wave equation on the basis of a reproducing kernel space June 2011
Numerical simulation of coupled nonlinear Schrödinger equations using the generalized differential quadrature method June 2011
Exact solutions of the Harry-Dym equation June 2011
Application of the generalized differential quadrature method in Solving Burgers' Equations June 2011
Numerical solution of RLW equation using integrated radial basis functions June 2011
A fast hybrid particle swarm optimization algorithm for flow shop sequence dependent group scheduling problem June 2011
Computational and experimental investigation of moisture transport of spacer fabrics June 2010
Numerical solution of GRLW equation using Sinc-collocation method June 2010
Some remarks on the variational iteration method January 2009
New exact solutions to a class of coupled nonlinear PDEs June 2009
Variational iteration method for solving nonlinear differential-difference equations January 2008
Using direct method for solving variational problems via triangular orthogonal functions January 2007