Fundamental Results of Conformable Sturm-Liouville Eigenvalue Problems
Complexity, 2017 We suggest a regular fractional generalization of the well-known Sturm-Liouville eigenvalue problems. The suggested model consists of a fractional generalization of the Sturm-Liouville operator using conformable derivative and with natural boundary ...
Mohammed Al-Refai, Thabet Abdeljawad
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On the Solution of a Class of Discontinuous Sturm-Liouville Problems
Communications in Advanced Mathematical SciencesThis study examines boundary value problems consisting of a second-order differential equation with discontinuous coefficients and boundary conditions.
Döne Karahan +2 more
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Tables of eigenvalues and eigenfunctions of the Orr-Sommerfeld equation for plane Poiseuille flows [PDF]
, 1971 In the report the authors present a numerical technique for computing the eigenvalues and eigenfunctions of the Orr-Sommerfeld equation for infinitesimal disturbances in plane Poiseuille flows. For the case alpha = 1.0, Rsube = 6667 the eigenvalues, beta
Gawain, Theodore Henry, Clark, W. H.
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Existence of Eigenvalues and Boundedness of the Eigenfunctions and the Orthogonality of the Eigenfunctions of a Type of Spectral Problem [PDF]
Background: This research aims to investigate certain requirements for the presence of eigenvalues, as well as the boundaries of eigenfunctions and their derivatives, specifically, the eigenfunctions\u27 first as well as second derivatives.
Qadr, Khelan Hussien
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Numerical method for 2d soliton solution at SHG in media with time‐dependent combined nonlinearity
Mathematical Modelling and Analysis, 2008 The paper describes the iteration method for finding the eigenfunctions and eigenvalues of the system of two nonlinear Schrödinger equations, which describes the process of second harmonic generation by femtosecond pulse in media with the quadratic and ...
Vyacheslav A. Trofimov +1 more
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External finite-element approximations of eigenfunctions in the case of multiple-eigenvalues [PDF]
, 1994 The paper deals with the finite-element analysis of second-order elliptic eigenvalue problems when the approximate domains OMEGA(h) are not subdomains of the original domain OMEGA subset-of R2.
Vanmaele, M. +3 more
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Advances in High Energy Physics, 2014 We have obtained exact solution of the effective mass Schrödinger equation for the generalised Hylleraas potential. The exact bound state energy eigenvalues and corresponding eigenfunctions are presented.
Sanjib Meyur, Smarajit Maji, S. Debnath
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Eigenfunctions and eigenvalues of the squeeze operatoi in quantum optics
Il Nuovo Cimento B Series 11, 1986 We calculate the eigenvalues and the eigenfunctions of the squeeze operator and we define the creation and annihilation operators of squeezed states.
Jannussis, A., Skuras, E.
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EXCEPTIONAL POINTS IN OPEN AND PT-SYMMETRIC SYSTEMS
Acta Polytechnica, 2014 Exceptional points (EPs) determine the dynamics of open quantum systems and cause also PT symmetry breaking in PT symmetric systems. From a mathematical point of view, this is caused by the fact that the phases of the wavefunctions (eigenfunctions of a ...
Hichem Eleuch, Ingrid Rotter
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Computing Eigenvalues and Eigenfunctions Of Schrodinger Equations Using a Model Reduction Approach
, 2018 We present a model reduction approach to construct problem dependent basis functions and compute eigenvalues and eigenfunctions of stationary Schrödinger equations.
Li, S, Zhang, Z
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