First Order Uniform Solution for General Perturbed Harmonic Oscillator
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 8, Issue 2
Abstract
In this paper, first order uniform solutions with respect to small parameter are established analytically for general perturbed harmonic oscillator of the form, are nonnegative integers. Comparison between these analytical solutions and the numerical solutions of the differential equations is also given for different n, m, and, and showed excellent agreement. A result that confirming the validity of our analytical solutions.
Authors and Affiliations
A. S. Saad
Keywords
Related Articles
- EP ID EP651348
- DOI 10.24297/jam.v8i2.6899
- Views 164
- Downloads 0
Runge-Kutta and Block by Block Methods to Solve Linear Two-Dimensional Volterra Integral Equation with Continuous Kernel
In this paper, the existence and uniqueness of solution of the linear two dimensional Volterra integral equation of the second kind with Continuous Kernel are discussed and proved.RungeKutta method(R. KM)and Block by blo...
MATHEMATICAL ANALYSIS OF THE ROLE OF DETECTION RATE IN THE DYNAMICAL SPREAD OF HIV-TB CO-INFECTION
Human Immunodeficiency Virus (HIV) co-existing with Tuberculosis (TB) in individuals remains a major global health challenges, with an estimated 1.4 million patients worldwide. These two diseases are enormous public heal...
On Pompeiu Cebysev Type Inequalities for Positive Linear Maps of Selfadjoint Operators in Inner Product Spaces
In this work, generalizations of some inequalities for continuous synchronous (h-asynchronous) functions of linear bounded selfadjoint operators under positive linear maps in Hilbert spaces are proved.
Solving Multi-Objective Transportation Problem to reduce Transportation cost and Time
In this paper we study the multi-objective transportation problem for Procter & Gamble to reduce transportation cost and time of goods supply from one source to another source. To solve this problem we are using a ne...
On the Remes Algorithm for Rational Approximations
This paper is concerned with the minimax approximation of a discrete data set by rational functions. The second algorithm of Remes is applied. A crucial stage of this algorithm is solving the nonlinear system of leveling...