Results 11 to 20 of about 37,919 (260)
Open Engineering, 2020 The variational method is known as a powerful and preferred technique to find both analytical and numerical solutions for numerous forms of anharmonic oscillator potentials.
Maiz Fethi
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Algorithms, 2020 The analysis of many physical phenomena is reduced to the study of linear differential equations with polynomial coefficients. The present work establishes the necessary and sufficient conditions for the existence of polynomial solutions to linear ...
Kyle R. Bryenton +5 more
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A polynomial conjecture connected with rogue waves in the KdV equation
Partial Differential Equations in Applied Mathematics, 2021 A polynomial conjecture, associated with rational solutions including rogue wave solutions of the KdV equation, is presented. The conjecture can be used to show that for the bilinear KdV equation, an arbitrary linear combination of two Wronskian ...
Wen-Xiu Ma
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Computer studies of polynomial solutions for gyrostat dynamics [PDF]
Компьютерные исследования и моделирование, 2018 We study polynomial solutions of gyrostat motion equations under potential and gyroscopic forces applied and of gyrostat motion equations in magnetic field taking into account Barnett-London effect.
Alexander Vasilievich Zyza
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Polynomial Solution of Non-Central Potentials [PDF]
International Journal of Theoretical Physics, 2007 We show that the exact energy eigenvalues and eigenfunctions of the Schrodinger equation for charged particles moving in certain class of non-central potentials can be easily calculated analytically in a simple and elegant manner by using Nikiforov and Uvarov (NU) method. We discuss the generalized Coulomb and harmonic oscillator systems.
Ikhdair, Sameer M., Sever, Ramazan
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New optical soliton solutions to the (n+1) dimensional time fractional order Sinh-Gordon equation
Results in Physics, 2023 This article studies and constructs new optical soliton solutions for the (n+1)-dimensional time fractional order Sinh-Gordon equation. First, we change the differential equation into Ordinary differential equation which is connected with a quartic ...
Da Shi, Zhao Li
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On polynomial solutions of the Heun equation [PDF]
Journal of Physics A: Mathematical and General, 2004 4 pages, No ...
Gurappa, N., Panigrahi, Prasanta K.
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Numerical solution of the first order nonlinear differen-tial equations with the mixed nonlinear conditions by using PLSM(comparison with Bernstein polynomials method) [PDF]
ITM Web of Conferences, 2019 We use the Polynomial Least Squares Method (PLSM), which allows us to compute analytical approximate polynomial solutions for nonlinear ordinary differential equations with the mixed nonlinear conditions.
Lăpădat Marioara +2 more
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JTAM (Jurnal Teori dan Aplikasi Matematika), 2021 In this article, we discuss the Chebyshev Polynomial and its characteristics. The second order difference equation and the process obtaining the explicit solution of the Chebyshev polynomial have been given for each real number.
Ikhsan Maulidi +3 more
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Mathematics, 2020 In this article, a novel radial−based meshfree approach for solving nonhomogeneous partial differential equations is proposed. Stemming from the radial basis function collocation method, the novel meshfree approach is formulated by incorporating ...
Cheng-Yu Ku, Jing-En Xiao, Chih-Yu Liu
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