Results 21 to 30 of about 466,026 (339)
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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Approximate Analytical Solutions of a Two-Term Diatomic Molecular Potential with Centrifugal Barrier [PDF]
, 2012 Approximate analytical bound state solutions of the radial Schr\"odinger equation are studied for a two-term diatomic molecular potential in terms of the hypergeometric functions for the cases where $q\geq1$ and $q=0$.
Arda, Altug, Sever, Ramazan
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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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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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Approximation of solutions of linear PDE with analytic coefficients
Duke Mathematical Journal, 1983 The paper establishes an approximation formula for distribution solutions in open sets in \(R^{n+1}\) of a first-order system of homogeneous linear partial differential equations with analytic coefficients. Actually it is shown that any such solution is the limit, in the appropriate distribution sense, of a sequence of analytic solutions of the same ...
Baouendi, M. S., Treves, F.
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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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Constructing Soliton and Kink Solutions of PDE Models in Transport and Biology [PDF]
, 2006 We present a review of our recent works directed towards discovery of a periodic, kink-like and soliton-like travelling wave solutions within the models of transport phenomena and the mathematical biology. Analytical description of these wave patterns is
Kutafina, Ekaterina V. +2 more
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IEEE Access, 2020 In this paper, generalization for the Lindstedt-Poincaré perturbation method for nonlinear oscillators to a class of strongly mixed-parity oscillating system is established.
W. P. Sun, C. W. Lim
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Advances in Difference Equations, 2021 Exact solutions to nonlinear differential equations play an undeniable role in various branches of science. These solutions are often used as reliable tools in describing the various quantitative and qualitative features of nonlinear phenomena observed ...
Ahmad Neirameh, Foroud Parvaneh
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