Results 1 to 10 of about 354 (59)
Exactly solvable three-body Calogero-type model with translucent two-body barriers [PDF]
A new exactly solvable alternative to the Calogero three-particle model is proposed. Sharing its confining long-range part, it contains the mere zero-range two-particle barriers.
Albeverio +25 more
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On the Leading Error Term of Exponentially Fitted Numerov Methods [PDF]
Second-order boundary value problems are solved with exponentially-fitted Numerov methods. In order to attribute a value to the free parameter in such a method, we look at the leading term of the local truncation error.
Hollevoet, Davy +2 more
core +1 more source
All Hermitian Hamiltonians Have Parity [PDF]
It is shown that if a Hamiltonian $H$ is Hermitian, then there always exists an operator P having the following properties: (i) P is linear and Hermitian; (ii) P commutes with H; (iii) P^2=1; (iv) the nth eigenstate of H is also an eigenstate of P with ...
Bender C M +6 more
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A Modified Version of the Waxman Algorithm [PDF]
The iterative algorithm recently proposed by Waxman for solving eigenvalue problems, which relies on the method of moments, has been modified to improve its convergence considerably without sacrificing its benefits or elegance. The suggested modification
Andrew R A +9 more
core +1 more source
Alternative methods for solving nonlinear two-point boundary value problems
In this sequel, the numerical solution of nonlinear two-point boundary value problems (NTBVPs) for ordinary differential equations (ODEs) is found by Bezier curve method (BCM) and orthonormal Bernstein polynomials (OBPs). OBPs will be constructed by Gram-
Ghomanjani Fateme, Shateyi Stanford
doaj +1 more source
Three-stage two-parameter symplectic, symmetric exponentially-fitted Runge-Kutta methods of Gauss type [PDF]
We construct an exponentially-fitted variant of the well-known three stage Runge-Kutta method of Gauss-type. The new method is symmetric and symplectic by construction and it contains two parameters, which can be tuned to the problem at hand.
Hollevoet, Davy +2 more
core +2 more sources
We numerically investigate a mixed convection model for a magnetohydrodynamic (MHD) Jeffery fluid flowing over an exponentially stretching sheet. The influence of thermal radiation and chemical reaction is also considered in this study. The governing non-
Shateyi Stanford, Marewo Gerald T.
doaj +1 more source
An efficient algorithm for solving fractional differential equations with boundary conditions
In this paper, a sinc-collocation method is described to determine the approximate solution of fractional order boundary value problem (FBVP). The results obtained are presented as two new theorems.
Alkan Sertan +2 more
doaj +1 more source
Stabilization and Analytic Approximate Solutions of an Optimal Control Problem
This paper analyses a dynamical system derived from a left-invariant, drift-free optimal control problem on the Lie group SO(3) × ℝ3 × ℝ3 in deep connection with the important role of the Lie groups in tackling the various problems occurring in physics ...
Pop Camelia +2 more
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Modeling the potential energy field caused by mass density distribution with Eton approach
A new approach for modeling real world problems called the “Eton Approach” was presented in this paper. The "Eton approach" combines both the concept of the variable order derivative together with Atangana derivative with memory derivative.
Alkahtani Badr Saad T., Atangana Abdon
doaj +1 more source

