M. Matinfar
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View article: Dynamical exploration of novel soliton solutions of the modified Benjamin–Bona–Mahoni and Eckhaus equations based on the extended hyperbolic function method
Dynamical exploration of novel soliton solutions of the modified Benjamin–Bona–Mahoni and Eckhaus equations based on the extended hyperbolic function method Open
In this article, through the utilization of the extended hyperbolic function method (EHFM), we derive the exact solutions for the modified Benjamin–Bona–Mahoni (mBBM) and Eckhaus equations. The EHFM introduces various novel solutions, incl…
View article: A numerical method for solving a class of variable-order differential equations using Hosoya polynomial of simple paths
A numerical method for solving a class of variable-order differential equations using Hosoya polynomial of simple paths Open
View article: Novel soliton solution of discrete nonlinear Schrödinger system in nonlinear optical fiber
Novel soliton solution of discrete nonlinear Schrödinger system in nonlinear optical fiber Open
The paper discusses investigating the behavior of the discrete nonlinear Schrödinger (DNLS) system. This technique combines the exponential function method and the rational function method to obtain exact solutions for a wide range of nonl…
View article: Bivariate Chebyshev Polynomials to Solve Time‐Fractional Linear and Nonlinear KdV Equations
Bivariate Chebyshev Polynomials to Solve Time‐Fractional Linear and Nonlinear KdV Equations Open
This work concerns the numerical solutions of a category of nonlinear and linear time‐fractional partial differential equations (TFPDEs) that are called time‐fractional inhomogeneous KdV and nonlinear time‐fractional KdV equations, respect…
View article: Modified Moving Least Squares Method for Two-Dimensional Linear and Nonlinear Systems of Integral Equations
Modified Moving Least Squares Method for Two-Dimensional Linear and Nonlinear Systems of Integral Equations Open
This work aims at focusing on modifying the moving least squares (MMLS) methods for solving two-dimensional linear and nonlinear systems of integral equations and system of differential equations. The modified shape function is our main ai…
View article: Application of Chebyshev tau method for bending analysis of elastically restrained edge functionally graded nano/micro-scaled sandwich beams, under non-uniform normal and shear loads
Application of Chebyshev tau method for bending analysis of elastically restrained edge functionally graded nano/micro-scaled sandwich beams, under non-uniform normal and shear loads Open
In this study, for the first time, an approximate solution procedure based on the Chebyshev tau method (CTM) is developed for bending analysis of functionally graded nano/micro-scaled sandwich beams. The proposed approach has the advantage…
View article: Analysis of Bi-directional FG Porous Sandwich Beams in Hygrothermal Environment Resting on Winkler/Pasternak Foundation, Based on the Layerwise Theory and Chebyshev Tau Method
Analysis of Bi-directional FG Porous Sandwich Beams in Hygrothermal Environment Resting on Winkler/Pasternak Foundation, Based on the Layerwise Theory and Chebyshev Tau Method Open
In this paper, for the first time, displacement and stress analysis of bidirectional functionally graded (BDFG) porous sandwich beams are developed using the Chebyshev tau method. Based on the presented approach, sandwich beams under…
View article: Solving Linear Optimal Control Problems Using Cubic B-spline Quasi-interpolation
Solving Linear Optimal Control Problems Using Cubic B-spline Quasi-interpolation Open
In this article, we apply an impressive method for solving linear optimal control problem based on cubic B-spline quasi-interpolation. Hamilton-Jacobi equation are applied to linear optimal control problem convert to systems of first-order…
View article: Modified moving least squares method for two-dimensional linear and nonlinear systems of integral equations
Modified moving least squares method for two-dimensional linear and nonlinear systems of integral equations Open
View article: Numerical approximation based on the Bernouli polynomials for solving Volterra integro-differential equations of high order
Numerical approximation based on the Bernouli polynomials for solving Volterra integro-differential equations of high order Open
Numerical approximation based on the Bernouli polynomials for solving Volterra integro-differential equations of high order
View article: A STRONG COMPUTATIONAL METHOD FOR SOLVING OF SYSTEM OF INFINITE BOUNDARY INTEGRO-DIFFERENTIAL EQUATIONS
A STRONG COMPUTATIONAL METHOD FOR SOLVING OF SYSTEM OF INFINITE BOUNDARY INTEGRO-DIFFERENTIAL EQUATIONS Open
The introduced method in this study consists of reducing a system of infinite boundary integro-differential equations (IBI-DE) into a system of al- gebraic equations, by expanding the unknown functions, as a series in terms of Laguerre …