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Solutions of the Singular IVPs of Lane-Emden type equations by combining Laplace transformation and perturbation technique

Nonlinear engineering, 2018-12, Vol.7 (4), p.273-278

Aminikhah, Hossein

2018

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Chebyshev Polynomials of Sixth Kind for Solving Nonlinear Fractional PDEs with Proportional Delay and Its Convergence Analysis

Journal of function spaces, 2022, Vol.2022, p.1-20

2022

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An efficient parametric finite difference and orthogonal spline approximation for solving the weakly singular nonlinear time-fractional partial integro-differential equation

Computational & applied mathematics, 2023-12, Vol.42 (8), Article 350

2023

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A mathematical system of COVID-19 disease model: Existence, uniqueness, numerical and sensitivity analysis

MethodsX, 2023-01, Vol.10, p.102045-102045, Article 102045

2023

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Orthogonal cubic splines for the numerical solution of nonlinear parabolic partial differential equations

MethodsX, 2023-01, Vol.10, p.102190-102190, Article 102190

2023

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Numerical Study of the Inverse Problem of Generalized Burgers–Fisher and Generalized Burgers–Huxley Equations

Advances in Mathematical Physics, 2021-03, Vol.2021, p.1-15

2021

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Numerical solution of the distributed-order fractional Bagley-Torvik equation

IEEE/CAA journal of automatica sinica, 2019-05, Vol.6 (3), p.760-765

2019

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An efficient numerical method for solving a class of variable-order fractional mobile-immobile advection-dispersion equations and its convergence analysis

Chaos, solitons and fractals, 2021-05, Vol.146, p.110896, Article 110896

2021

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A high-order compact alternating direction implicit method for solving the 3D time-fractional diffusion equation with the Caputo–Fabrizio operator

Mathematical sciences (Karaj, Iran), 2020-12, Vol.14 (4), p.359-373

2020

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Travelling wave solutions of nonlinear systems of PDEs by using the functional variable method

Boletim da Sociedade Paranaense de Matemática, 2016-01, Vol.34 (2), p.213-229

2016

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A new efficient algorithm based on fifth-kind Chebyshev polynomials for solving multi-term variable-order time-fractional diffusion-wave equation

International journal of computer mathematics, 2022-05, Vol.99 (5), p.966-992

2022

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The combined Laplace transform and new homotopy perturbation methods for stiff systems of ODEs

Applied mathematical modelling, 2012-08, Vol.36 (8), p.3638-3644

Aminikhah, Hossein

2012

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The Multi-scale method for solving nonlinear time space fractional partial differential equations

IEEE/CAA journal of automatica sinica, 2019-01, Vol.6 (1), p.299-306

2019

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A novel algorithm for computing interior eigenpairs of large non-symmetric matrices

Soft computing (Berlin, Germany), 2021-09, Vol.25 (17), p.11865-11876

2021

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An Efficient Method for Systems of Variable Coefficient Coupled Burgers’ Equation with Time-Fractional Derivative

TheScientificWorld, 2013-01, Vol.2013 (1), p.687695-687695

2013

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Exact solutions for the fractional differential equations by using the first integral method

Nonlinear engineering, 2015, Vol.4 (1), p.15-22

2015

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Some properties of orthogonal linear splines and their applications to inverse problems

Applicable analysis, 2023-02, Vol.102 (3), p.739-769

2023

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An analytical approximation for coupled viscous Burgers’ equation

Applied mathematical modelling, 2013-04, Vol.37 (8), p.5979-5983

Aminikhah, Hossein

2013

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Numerical study of the boundary layer problem over a flat plate by orthogonal cubic spline basis functions

European physical journal plus, 2021-07, Vol.136 (7), p.780, Article 780

2021

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A numerical algorithm based on modified orthogonal linear spline for solving a coupled nonlinear inverse reaction-diffusion problem

Filomat, 2021, Vol.35 (1), p.79-104

2021

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An efficient method for quadratic Riccati differential equation

Communications in nonlinear science & numerical simulation, 2010-04, Vol.15 (4), p.835-839

2010

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Approximate analytical solution for the one-dimensional nonlinear Boussinesq equation

International journal of numerical methods for heat & fluid flow, 2015-05, Vol.25 (4), p.831-840

Aminikhah, Hossein

2015

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An analytical approximation for coupled viscous Burgersa equation

Applied mathematical modelling, 2013-04, Vol.37 (8), p.5979-5983

Aminikhah, Hossein

2013

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Nonlinear Vibrations of Multiwalled Carbon Nanotubes under Various Boundary Conditions

International Journal of Differential Equations, 2011-01, Vol.2011 (1)

2011

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An effective modification of the homotopy perturbation method for stiff systems of ordinary differential equations

Applied mathematics letters, 2011-09, Vol.24 (9), p.1502-1508

2011

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Solutions of the Singular IVPs of Lane-Emden type equations by combining Laplace transformation and perturbation technique

Chebyshev Polynomials of Sixth Kind for Solving Nonlinear Fractional PDEs with Proportional Delay and Its Convergence Analysis

An efficient parametric finite difference and orthogonal spline approximation for solving the weakly singular nonlinear time-fractional partial integro-differential equation

A mathematical system of COVID-19 disease model: Existence, uniqueness, numerical and sensitivity analysis

Orthogonal cubic splines for the numerical solution of nonlinear parabolic partial differential equations

Numerical Study of the Inverse Problem of Generalized Burgers–Fisher and Generalized Burgers–Huxley Equations

Numerical solution of the distributed-order fractional Bagley-Torvik equation

An efficient numerical method for solving a class of variable-order fractional mobile-immobile advection-dispersion equations and its convergence analysis

A high-order compact alternating direction implicit method for solving the 3D time-fractional diffusion equation with the Caputo–Fabrizio operator

Travelling wave solutions of nonlinear systems of PDEs by using the functional variable method

A new efficient algorithm based on fifth-kind Chebyshev polynomials for solving multi-term variable-order time-fractional diffusion-wave equation

The combined Laplace transform and new homotopy perturbation methods for stiff systems of ODEs

The Multi-scale method for solving nonlinear time space fractional partial differential equations

A novel algorithm for computing interior eigenpairs of large non-symmetric matrices

An Efficient Method for Systems of Variable Coefficient Coupled Burgers’ Equation with Time-Fractional Derivative

Exact solutions for the fractional differential equations by using the first integral method

Some properties of orthogonal linear splines and their applications to inverse problems

An analytical approximation for coupled viscous Burgers’ equation

Numerical study of the boundary layer problem over a flat plate by orthogonal cubic spline basis functions

A numerical algorithm based on modified orthogonal linear spline for solving a coupled nonlinear inverse reaction-diffusion problem

An efficient method for quadratic Riccati differential equation

Approximate analytical solution for the one-dimensional nonlinear Boussinesq equation

An analytical approximation for coupled viscous Burgersa equation

Nonlinear Vibrations of Multiwalled Carbon Nanotubes under Various Boundary Conditions

An effective modification of the homotopy perturbation method for stiff systems of ordinary differential equations

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