A5073033346- Numerical methods in engineering
- Fractional Differential Equations Solutions
- Numerical methods in inverse problems
- Differential Equations and Numerical Methods
- Advanced Numerical Methods in Computational Mathematics
- ZnO doping and properties
- Transition Metal Oxide Nanomaterials
- Iterative Methods for Nonlinear Equations
- Numerical methods for differential equations
- Advanced Mathematical Modeling in Engineering
- Ga2O3 and related materials
- Nonlinear Differential Equations Analysis
- Composite Material Mechanics
- Copper-based nanomaterials and applications
- Mathematical functions and polynomials
- Composite Structure Analysis and Optimization
- Matrix Theory and Algorithms
- Ultrasonics and Acoustic Wave Propagation
- Solidification and crystal growth phenomena
- Nonlinear Partial Differential Equations
- Advanced Numerical Analysis Techniques
- Gas Sensing Nanomaterials and Sensors
Khatam University
2019-2023
Islamic Azad University, Science and Research Branch
2023
K.N.Toosi University of Technology
2013-2020
The thin film coatings composed of: undoped ZnO film, doped with Al, Cu, and simultaneously Al Cu (co-doping) were separately deposited on quartz substrates using RF sputtering method different targets. advanced fractal features, crystalline structure optical properties of sputtered samples investigated by atomic force microscopy (AFM), X‐ray diffraction (XRD) UV–vis spectroscopy. Microstructural studies revealed homogeneously granular layer axially oriented AZO film. transmission spectra...
Due to the large number of industrial applications transparent conductive oxides (TCOs), this study focuses on one most important metal oxides. The RF-magnetron sputtering method was used fabricate NiO thin films both quartz and silicon substrates at room temperature under flow Argon Oxygen. sputtered samples were annealed in N2 atmosphere 400, 500, 600 °C for 2 hours. Using AFM micrographs WSXM 4.0 software, basic surface parameters, including root mean square roughness, average kurtosis,...
In this study, we present existence and uniqueness theorems of a quasi solution to backward time-fractional diffusion equation. To do that, consider methodology, involving minimization least squares cost functional, identify the unknown initial data. Firstly, prove continuous dependence on data for corresponding forward problem then obtain stability estimate. Based this, give theorem in an appropriate class admissible Secondly, it is shown that functional Fréchet-differentiable its...
In this paper, using Sinc-Galerkin and Levenberg–Marquardt methods a stable numerical solution is obtained to nonlinear inverse parabolic problem. Due this, problem reduced parameter approximation To approximate unknown parameters, we consider an optimization where objective function minimized by method. This method the overposed measured data. Finally, some examples are given demonstrate accuracy reliability of proposed
Abstract In this paper, based on a quasi solution approach, i.e., methodology involving minimization of least squares cost functional, we study backward space fractional diffusion equation. To end, give existence and uniqueness theorems in an appropriate class admissible initial data. addition, order to approximate the solution, finite element method is used. Since obtained system linear equations ill-posed, apply TSVD regularization. Finally, three numerical examples are given. Numerical...
Abstract Finding the history of a groundwater contaminant plume from final measurements is an ill-posed problem and, consequently, its solution extremely sensitive to errors in input data. In this paper, we study mathematically. So, firstly, existence and uniqueness theorems quasi-solution appropriate class admissible initial data are given. Secondly, order overcome ill-posedness also approximate quasi-solution, two approaches (computational iterative algorithms) provided. computational...
In this paper, we consider two dimensional nonlinear elliptic equations of the form $ -{rm div}(a(u,nabla u)) = f $. Then, in order to solve these on rectangular domains, propose a numerical method based Sinc-Galerkin method. Finally, presented is tested some examples. Numerical results show accuracy and reliability proposed
We apply the bivariate B-spline basis to find an approximate solution for control-state function in a constrained optimal control problem, whose constraint is elliptic partial differential equation (PDE) with Dirichlet boundary conditions.In this method, PDE first discretized and then by using basis, state obtained respect some unknown coefficients.By applying generalized Newton value also determined.Finally, numerical example given derived basis.
In this article, some existence and uniqueness theorems for a quasisolution of backward parabolic problems are given. A computational algorithm to find the is also provided. algorithm, in order approximate quasisolution, spectral element method used. Since obtained system linear equations ill-conditioned, we apply Levenberg–Marquardt regularization. Finally, numerical examples given show efficiency accuracy introduced method.
This article considers a nonlinear system of elliptic problems, which is obtained by discretizing the time variable two-dimensional parabolic problem. Since consists ill-conditioned therefore stabilized, mesh-free method proposed. The based on coupling preconditioned Sobolev space gradient and WEB-spline finite element with Helmholtz operator as preconditioner. convergence error analysis are given. Finally, numerical example solved this preconditioner to show efficiency accuracy proposed methods.
Abstract In this paper, using Sinc-Galerkin method and TSVD regularization, an approximation of the quasi-solution to inverse source problem is obtained. To do so, solution direct obtained by method, applied in a least squares cost functional. Then, obtain quasi-solution, we minimize functional regularization. Error analysis convergence proposed are investigated. addition, at end, four numerical examples given details show efficiency accuracy method.
Abstract In this paper, we study the existence and uniqueness of a quasi solution to time fractional diffusion equation related <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mmultiscripts> <m:mi>D</m:mi> <m:mi>t</m:mi> <m:mi>α</m:mi> <m:mprescripts /> <m:none <m:mi>C</m:mi> </m:mmultiscripts> <m:mo></m:mo> <m:mi>u</m:mi> </m:mrow> <m:mo>-</m:mo> <m:mo>∇</m:mo> <m:mo>⋅</m:mo> <m:mo>(</m:mo> <m:mi>k</m:mi> <m:mi>x</m:mi> <m:mo>)</m:mo> <m:mo></m:mo> <m:mo>=</m:mo>...