Results 31 to 40 of about 5,584,987 (319)
Piecewise Polynomial Least Squares Method for Differential Equations of Fractional Order
Annals of the West University of Timisoara: Mathematics and Computer Science, 2023 In this paper a new method to compute approximate analytical solutions for differential equations of fractional order is presented. The proposed computational method, called the Piecewise Polynomial Least Squares Method (PWPLSM), is a combination of the ...
Paşca Mädälina Sofia
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Analytical solutions of cylindrical and spherical dust ion-acoustic solitary waves
Results in Physics, 2019 In the present work, employing the conventional reductive perturbation method to the field equations of an unmagnetized dusty plasma consisting of inertial ions, Boltzmann electrons and stationary dust particles in the nonplanar geometry we derived ...
Essam. R. El-Zahar, Hilmi Demiray
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Analytical and approximate solutions of an epidemic system of HIV/AIDS transmission
Alexandria Engineering Journal, 2020 This paper constructs approximate solutions of the epidemic system of HIV/AIDS transmission model with the help of the conformable fractional differential transform method. The fractional derivatives considered in this paper are described in the sense of
Wei Gao, Hatıra Günerhan, H. Baskonus
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Walailak Journal of Science and Technology, 2014 The aim of the present article is to obtain the approximate analytical solution of time fractional Ito coupled equations by using the homotopy perturbation method. The fractional derivatives are described in the Caputo sense.
Sunil KUMAR
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Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]
, 2012 This is the author's PDF version of an article published in Journal of Integral Equations and Applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to ...
Diethelm, Kai, Ford, Neville J.
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APPROXIMATE-ANALYTICAL SOLUTIONS OF SOME CLASSICAL RICCATI DIFFERENTIAL EQUATION USING THE DAFTARDAR-GEJJI JAFARI METHOD [PDF]
, 2021 This present paper considers the approximate-analytical solution of some classical Riccati Differential Equations (RDEs). Here, an efficient numerical method referred to as Daftardar-Gejji Jafari Method (DJM) for solving the functional differential ...
Ogundile, O. P. +2 more
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Analytical and approximate solutions of Fractional Partial Differential-Algebraic Equations
Applied Mathematics and Nonlinear Sciences, 2020 In this paper, we have extended the Fractional Differential Transform method for the numerical solution of the system of fractional partial differential-algebraic equations.
Hatıra Günerhan, E. Çelik
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A parametric iteration method for solving Lane-Emden type equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2017 In this paper, an analytical method called the parametric iteration method (PIM) is presented for solving the second-order singular IVPs of Lane-Emden type, and its local convergence is discussed.
Reza Chaharpashlou
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Results in Physics, 2021 The generalized ZK-Burgers equation has nonlinear characteristics of the governing equation and helps to understand nonlinear waves in many fluid problems of plasma mediums.
Naeem Faraz +4 more
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New approximate-analytical solutions to partial differential equations via auxiliary function method
, 2021 In this article, the optimal auxiliary function method (OAFM) is extended to general partial differential equations (PDEs). Our proposed method is highly efficient and provides the means of controlling the approximate solution’s convergence. Illustrative
Laiq Zada +6 more
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