Mohsen Razzaghi

Mississippi State University

Author Statistics

Papers

Citation

H-Index

i-10 index

Research Trends

Author Order

Document Type

Co-Authors

Yadollah Ordokhani

Alzahra University

Mohammad Heydari

Kermanshah University of Medical Sciences

Haniye Dehestani

Alzahra University

Mehdi Dehghan

Amirkabir University of Technology

Falih Ahmad

Christian Brothers University

Hamid Reza Marzban

Isfahan University of Technology

Thieu N. Vo

Ton Duc Thang University

Mehdi Razzaghi

Bloomsburg University

Mehrdad Lakestani

University of Tabriz

Gamal N. Elnagar

University of South Carolina Upstate

Cooperative Institutions

Amirkabir University of Technology

Mississippi State University

Alzahra University

Shahid Beheshti University

Shiraz University of Technology

Prince of Songkla University

Yazd University

Ton Duc Thang University

Hudson Institute

Isfahan University of Technology

Author Statistics

Papers

Citation

H-Index

i-10 index

Research Field

A hybrid functions approach for the Duffing equation

Physica Scripta (2013)

Somayeh Mashayekhi Yadollah Ordokhani Mohsen Razzaghi

In this paper, a new numerical method for solving the Duffing equation is presented. We consider this equation in two forms, with integral boundary conditions and involving both integral and non-integral forcing terms. The method is based on a hybrid functions approximation. The properties of hybrid functions consisting of block-pulse functions and Bernoulli polynomials are presented. The operational matrix of integration is given. This matrix is then utilized to reduce the solution of the Duffing equation to a nonlinear equation. Illustrative examples are included to demonstrate the validity and applicability of the technique.

Duffing equation

Matrix (chemical analysis)

Forcing (mathematics)

10.1088/0031-8949/88/02/025002

Cite

Citations (21)

Solution of nonlinear Volterra-Hammerstein integral equations via rationalized Haar functions

DOAJ (DOAJ: Directory of Open Access Journals) (2001)

Mohsen Razzaghi Yadollah Ordokhani

Haar

Volterra equations

Source

Cite

Citations (0)

Jacobi spectral method for variable-order fractional Benney–Lin equation arising in falling film problems

Journal of Computational and Applied Mathematics (2021)

Mohammad Heydari Mohsen Razzaghi

Algebraic equation

Collocation (remote sensing)

Matrix (chemical analysis)

Spectral method

10.1016/j.cam.2021.113813

Cite

Citations (8)

A discrete bidirectional reflectance model in remote sensing

Journal of Quantitative Spectroscopy and Radiative Transfer (2002)

Falih Ahmad Seth F. Oppenheimer Mohsen Razzaghi

Algebraic equation

10.1016/s0022-4073(02)00127-9

Cite

Citations (2)

Numerical solution of the controlled Duffing oscillator by the pseudospectral method

Journal of Computational and Applied Mathematics (1994)

Mohsen Razzaghi Gamal N. Elnagar

Duffing equation

Interpolation

Collocation (remote sensing)

Gauss pseudospectral method

Algebraic equation

10.1016/0377-0427(94)90081-7

Cite

Citations (15)

A Collocation Method for the Solution of an Inverse Scattering Problem from Gradient-Type Interfaces

Physica Scripta (2000)

Falih Ahmad Mohsen Razzaghi

A numerical scheme for solving the inverse problem that represents the gradient-type interface is presented in this paper. Such an interface is a point at which the velocity profile suffers a jump in the first derivative. The time domain approach to scattering from gradient–type interface leads to an integro–differential equation involving the impulse response. Using Legendre–Gauss–Lobatto nodes we construct the Nth polynomial interpolation to approximate the impulse response and solve the integro–differential equation. Illustrative examples are included to demonstrate the accuracy of the proposed method.

Interpolation

Collocation (remote sensing)

Impulse response

Directional derivative

10.1238/physica.regular.061a00468

Cite

Citations (3)

A hybrid spectral approach based on 2D cardinal and classical second kind Chebyshev polynomials for time fractional 3D Sobolev equation

Mathematical Methods in the Applied Sciences (2023)

M. Hosseininia Mohammad Heydari Mohsen Razzaghi

In this work, the Caputo fractional derivative defines the time fractional 3D Sobolev equation. The 2D shifted second kind Chebyshev cardinal polynomials (SSKCCPs) and 2D shifted second kind Chebyshev polynomials (SSKCPs) (as two well‐known classes of basis functions) are utilized to establish a hybrid technique for this new problem. First, the problem solution is approximated simultaneously using the 2D SSKCCPs (relative to ) and 2D SSKCCPs (relative to ). Next, the classical and fractional operational matrices of these polynomials are achieved and applied to make the hybrid algorithm. With a combination of derived operational matrices and the collocation approach, solving the expressed fractional 3D problem turns into solving an equivalent system of algebraic equations. The proposed algorithm's accuracy is checked using four numerical examples.

Algebraic equation

Chebyshev nodes

Collocation (remote sensing)

10.1002/mma.9592

Cite

Citations (3)

The novel operational matrices based on 2D-Genocchi polynomials: solving a general class of variable-order fractional partial integro-differential equations

Computational and Applied Mathematics (2020)

Haniye Dehestani Yadollah Ordokhani Mohsen Razzaghi

Matrix (chemical analysis)

Algebraic equation

Operational calculus