FARHAD FAKHARIZADI - Amirkabir University of Technology

Supervised MSc Theses

#

Thesis title

By

Date

1

Price Prediction Of Cryptocurrencies Using Machine Learning

FATEME MIRZAABDOLLAHIHA & Erfan Salavati

2023 Mar

2

Numerical solution of fractional variable order partial differential equations using spectral methods

AMIR POURAGHIL

2022 Feb

3

Numerical solution of fractional integro-differential equations using spectral methods

SABER ABDOLLAHI DELIJANI

2021 Oct

4

Numerical Solution of Space-Time Fractional Partial Differntial Equations Using Pseudo Spectral -RBF method

FARINAM SAKHAEI

2021 Oct

5

Numerical solution of inverse eigenvalue problem for symmetric matrix

BAHAREH MOHSENZADEH GANJI

2020 Feb

6

A combination of filters and mixture of experts for classification of ECG arrhythmia

ALYAA TALIB RAHEEM MUHI & MEHDI GHATEE

2019 Sep

7

Application of Singular Value Decomposition for image representation in Face Recognition

KIANA NEZAMI

2019 Feb

8

Numerical solution of fractional differential equations using Spectral methods

NARGES MOUSAZADEH

2019 Feb

9

Applying Some Machine Learning-Based Methods to Solve Integral Equations

FATEMEH JELVEH

2025 Mar

10

omputation of Optimal Transport and Related Hedging Problems via Penalization and Neural Networks

NEDA ZOMORODI

2025 Mar

11

Numerical solution of integro-differential equations using machine learning

NEGIN SHARIATBAHADORI

2025 Mar

Journal Papers

1

BARALAK ZEYNAB ، FAKHARIZADI FARHAD ، Dehghan Mehdi ، Abbaszadeh Mostafa, "A local discontinuous Galerkin method for the cubic-quintic complex Ginzburg-Landau equation: Vortex solitons and collision dynamics", Applied Numerical Mathematics, 2026 Jun vol. 229, no. , pp.237-261, 2026.

2

FAZAYEL MAHDIEHALSADAT ، FAKHARIZADI FARHAD ، DEHGHAN MEHDI ، Abbaszadeh Mostafa, "Numerical simulation of Klein-Gordon-Zakharov equations using conservative nonstandard finite difference method combined with scalar auxiliary variable scheme", Computational and Applied Mathematics, 2026 Apr vol. 45, no. , pp.1-32, 2026.

3

FAZAYEL MAHDIEHALSADAT ، Abbaszadeh Mostafa ، DEHGHAN MEHDI ، FAKHARIZADI FARHAD, "A Conservative Finite Difference Scheme of Second-Order Accuracy for the Solution of Davey-Stewartson Equations", Mathematical Methods In The Applied Sciences, 2026 Mar vol. 0, no. , pp.1-23, 2026.

4

BARALAK ZEYNAB ، DEHGHAN MEHDI ، FAKHARIZADI FARHAD ، Abbaszadeh Mostafa, "A local discontinuous Galerkin spectral element method for high-frequency wave propagation in computational acoustics", Journal of Computational Physics, 2025 Oct vol. , no. , pp.-, 2025.

5

YAZDANI AZAM ، FAKHARIZADI FARHAD ، Abbaszadeh Mostafa, "Adaptive radial basis function collocation method for elliptic interface problems", Engineering Analysis With Boundary Elements, 2025 Jul vol. , no. , pp.-, 2025.

6

FAKHARIZADI FARHAD ، SHABGARD NARGES, "Time-space spectral Galerkin method for time-fractional fourth-order partial differential equations", Journal of Applied Mathematics and Computing, 2022 Feb vol. 0, no. 0, , 2022.

7

FAKHARIZADI FARHAD, "Fully spectral-Galerkin method for the one- and two-dimensional fourth-order time-fractional partial integro-differential equations with a weakly singular kernel", Numerical Methods For Partial Differential Equations, 2020 Oct vol. 0, no. 0, , 2020.

8

FAKHARIZADI FARHAD, "Fully Petrov-Galerkin spectral method for the distributed-order time-fractional fourth-order partial differential equation", Engineering With Computers, 2020 Feb vol. 0, no. 0, , 2020.

9

FAKHARIZADI FARHAD, "An efficient spectral-Galerkin method for solving two-dimensional nonlinear system of advection-diffusion-reaction equations", Engineering With Computers, 2019 Oct vol. 0, no. 0, , 2019.

10

FAKHARIZADI FARHAD ، DEHGHAN MEHDI, "Modal spectral element method in curvilinear domains", Applied Numerical Mathematics, 2018 Jan vol. 128, no. 0, pp.157-182, 2018.

11

FAKHARIZADI FARHAD ، DEHGHAN MEHDI, "Fully spectral collocation method for nonlinear parabolic partial integro-differential equations", Applied Numerical Mathematics, 2017 Sep vol. 123, no. 0, pp.99-120, 2017.

12

FAKHARIZADI FARHAD ، DEHGHAN MEHDI, "Space-time spectral method for a weakly singular parabolic partial integro-differential equation on irregular domains", Computers and Mathematics With Applications, 2014 May vol. 67, no. 10, pp.1884-1904, 2014.

Conference Papers

1

YAZDANI AZAM ، FAKHARIZADI FARHAD ، Abbaszadeh Mostafa, "Adaptive radial basis function collocation method for interface elliptic problems,", 55th Annual Iranian Mathematics Conference, Aug 2024.

2

YAZDANI AZAM ، FAKHARIZADI FARHAD, "A spectral element method for the modified distributed-order anomalous sub-diffusion equation in irregular domain,", The 10th Seminar on Numerical Analysis and its Applications, Jul 2024.

3

FAZAYEL MAHDIEHALSADAT ، FAKHARIZADI FARHAD ، DEHGHAN MEHDI, "Numerical simulation of tumor growth model by the conservative finite difference method,", The 3th International and 5th National conference on Biomathematics, Jul 2024.

4

FAZAYEL MAHDIEHALSADAT ، FAKHARIZADI FARHAD ، EBRAHIMI JAHAN ALI, "The utilization of POD/DEIM model order reduction for numerical simulation of a nonlinear problem,", 53st Annual Iranian Mathematics Conference, Sep 2022.

5

FAKHARIZADI FARHAD ، SHABGARD NARGES, "A new algorithm based on Lucas polynomials for approximate solution of 2D Sobolev equation,", THE FIRST INTERNATIONAL CONFERENCE ON MATHEMATICS AND ITS APPLICATIONS, Aug 2021.

6

FAKHARIZADI FARHAD ، SAKHAEI FARINAM, "Numerical solution of nonlinear space-time fractional partial differential equations with variable coefficients using RBF pseudospectral method,", THE FIRST INTERNATIONAL CONFERENCE ON MATHEMATICS AND ITS APPLICATIONS, Aug 2021.

7

YAZDANI AZAM ، FAKHARIZADI FARHAD, "Fully spectral Galerkin method for the modified distributed-order anomalous sub-diffusion equation,", 51st Annual Iranian Mathematics Conference, Feb 2021.

8

FAKHARIZADI FARHAD, "Numerical solution of nonlinear PDEs using modal spectral element method (SEM) in complex geometries with approach of reduction of aliasing error,", 51st Annual Iranian Mathematics Conference, Feb 2021.

Taught Courses

#

Course title

Description

Headlines

Date

1

Differential Equations

4051

2

Numerical Solution of Ordinary Differential Equations

Many ordinary differential equations can not be solved analytically or even if the exact solution is exists, the answer is not applied. The aim of this course is students familiarity with the numerical solution of ordinary differential equations aspe

4042

3

Differential Equations

قوانین طبیعت بر حسب معادلات دیفرانسیل بیان می شوند. دانشمندان و مهندسین باید بدانند جهان چگونه توسط معادلات دیفرانسیل مدل می شوند و چگونه

4042

4

Numerical Solution of Ordinary Differential Equations

Many ordinary differential equations can not be solved analytically or even if the exact solution is exists, the answer is not applied. The aim of this course is students familiarity with the numerical solution of ordinary differential equations aspe

4042

5

Numerical Methods in Linear Algebra

4041

6

Numerical Methods in Linear Algebra

4041

7

Differential Equations

4041

8

Differential Equations

4041

9

Differential Equations

4033

10

Differential Equations

4033