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Reza Mokhtari

Numerical Analyst, Department of Mathematical Sciences, IUT

Welcome to Reza Mokhtari

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Office : Dept. Math. Sci., IUT, Isfahan 84156-83111, Iran Email : mokhtari[at]iut.ac.ir, rm49.iut[at]gmail.com Phone : +983133913614 Fax : +983133912602 Web Site : Reza Mokhtari

Professor of Applied Mathematics (Numerical Mathematics)

Research Fields : Numerical Mathematics

Scientific Computing and Data Science

Numerical solution of ODEs, PDEs & IEs

Mesh-dependent & Meshfree methods

Teaching

Last News

Recent Publications

An RBF-LOD method for solving stochastic diffusion equations

DNN-HDG: A deep learning hybridized discontinuous Galerkin method for solving some elliptic problems

Solving Stochastic Nonlinear Poisson-Boltzmann Equations Using a Collocation Method Based on RBFs

Operator-splitting local discontinuous Galerkin method for multi-dimensional linear convection-diffusion equations

Solving two-dimensional coupled Burgers equations via a stable hybridized discontinuous Galerkin method

DeepBHCP‎: ‎Deep neural network algorithm for solving backward heat conduction problems

Analysis of the stability and convergence for L-type formula combined with a spatial finite element method for solving subdiffusion problems

A novel high-order finite difference method for the time-fractional diffusion equation with smooth/nonsmooth solutions

A least-squares Galerkin approach to gradient recovery for Hamilton-Jacobi-Bellman equation with Cordes coefficients

Stability analysis of wavelet and Fourier regularization methods for a Cauchy problem of fractional Helmholtz equation

Stability and convergence analyses of the FDM based on some L-type formulae for solving the subdiffusion equation

The bi-Helmholtz equation with Cauchy conditions: ill-posedness and regularization methods

Some high order formulae for approximating Caputo fractional derivatives

Numerical solution of some initial optimal control problems using the reproducing kernel Hilbert space technique

A high order formula to approximate the Caputo fractional derivative

بازمتعامدسازي با نرم فروبنيوس براي الگوريتم هاي دوقطري سازي گولاب-كاهان سراسري و روش لنچوز سراسري

50th Annual Iranian Mathematics Conference

A combined compact difference scheme for option pricing in the exponential jump-diffusion models

A Numerical Approach Based on the Reproducing Kernel Hilbert Space for Solving a Class of Boundary Value Optimal Control Problems

Space-dependent source determination in a time-fractional diffusion equation using a local discontinuous Galerkin method

Using a LDG method for solving an inverse source problem of the time-fractional diffusion equation

Some error estimates for solving Volterra integral equations by using the reproducing kernel method

Some error estimates for solving Volterra integral equations by using the reproducing kernel method

Discrete-ordinates and streamline diffusion methods for a flow described by BGK model

A meshless method for solving the 2D Brusselator reaction-diffusion system

Solving two parabolic inverse problems with a nonlocal boundary condition in the reproducing kernel space

Solving an inverse problem for a parabolic equation with a nonlocal boundary condition in the reproducing kernel space

A New Compact Finite Difference Method for Solving the Generalized Regularized Long Wave Equation

A Reproducing Kernel Method for Solving a Class of Nonlinear Systems of PDEs

A Galerkin-reproducing kernel method: application to the 2D nonlinear coupled Burgers' equations

Numerical solution of the Schrödinger equations by using Delta-shaped basis functions

A new algorithm for solving one-dimensional Schrodinger equations in the reproducing kernel space

Numerical solution of the regularized long wave equation using nonpolynomial splines

A meshless method for solving mKdV equation

Reproducing Kernel Method for Solving Nonlinear Differential-Difference Equations

Application of the generalized differential quadrature method in Solving Burgers' Equations

Numerical solution of RLW equation using integrated radial basis functions

A fast hybrid particle swarm optimization algorithm for flow shop sequence dependent group scheduling problem

Solving the generalized regularized long wave equation on the basis of a reproducing kernel space

Numerical simulation of coupled nonlinear Schrödinger equations using the generalized differential quadrature method

Exact solutions of the Harry-Dym equation

Computational and experimental investigation of moisture transport of spacer fabrics

Numerical solution of GRLW equation using Sinc-collocation method

Some remarks on the variational iteration method

New exact solutions to a class of coupled nonlinear PDEs

Variational iteration method for solving nonlinear differential-difference equations

Using direct method for solving variational problems via triangular orthogonal functions