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Publications

Journal Papers
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An RBF-LOD method for solving stochastic diffusion equations Winter 2024
Solving two-dimensional coupled Burgers equations via a stable hybridized discontinuous Galerkin method March 2023
DNN-HDG: A deep learning hybridized discontinuous Galerkin method for solving some elliptic problems June 2023
Solving Stochastic Nonlinear Poisson-Boltzmann Equations Using a Collocation Method Based on RBFs Spring 2023
Operator-splitting local discontinuous Galerkin method for multi-dimensional linear convection-diffusion equations July 2023
DeepBHCP‎: ‎Deep neural network algorithm for solving backward heat conduction problems March 2022
A stable numerical scheme based on the hybridized discontinuous Galerkin method for the Ito-type coupled KdV system Winter 2022
Analysis of the stability and convergence for L-type formula combined with a spatial finite element method for solving subdiffusion problems Summer 2022
A novel high-order finite difference method for the time-fractional diffusion equation with smooth/nonsmooth solutions Winter 2022
A least-squares Galerkin approach to gradient recovery for Hamilton-Jacobi-Bellman equation with Cordes coefficients Summer 2022
Stability analysis of wavelet and Fourier regularization methods for a Cauchy problem of fractional Helmholtz equation Spring 2022
Stability and convergence analyses of the FDM based on some L-type formulae for solving the subdiffusion equation Fall 2021
The bi-Helmholtz equation with Cauchy conditions: ill-posedness and regularization methods January 2021
Some high order formulae for approximating Caputo fractional derivatives July 2020
Numerical solution of some initial optimal control problems using the reproducing kernel Hilbert space technique June 2020
A high order formula to approximate the Caputo fractional derivative Spring 2020
A combined compact difference scheme for option pricing in the exponential jump-diffusion models December 2019
A Numerical Approach Based on the Reproducing Kernel Hilbert Space for Solving a Class of Boundary Value Optimal Control Problems December 2018
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
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
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
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
A new algorithm for solving one-dimensional Schrodinger equations in the reproducing kernel space October 2013
A meshless method for solving mKdV equation July 2012
Reproducing Kernel Method for Solving Nonlinear Differential-Difference Equations August 2012
Numerical solution of the regularized long wave equation using nonpolynomial splines July 2012
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
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 GRLW equation using Sinc-collocation method June 2010
Computational and experimental investigation of moisture transport of spacer fabrics 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
Conference Papers
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بازمتعامدسازي با نرم فروبنيوس براي الگوريتم هاي دوقطري سازي گولاب-كاهان سراسري و روش لنچوز سراسري September 2019
50th Annual Iranian Mathematics Conference September 2019

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