• Corpus ID: 118916370

Dual Time-Space Model of Wave Propagation

  title={Dual Time-Space Model of Wave Propagation},
  author={Alexei N. Krouglov},
Here to represent the propagation of waves I attempted to describe them separately in space and time domains. The time and space wave equations are obtained and investigated, and formulas for the wave propagation are expressed. I also tried to apply the model to the description of such physical phenomena as the constancy of the speed of light and propagation of ocean waves – tsunami. 

Explanation of Faraday's Experiment by the Time-Space Model of Wave Propagation

It is shown by the means of Time-Space Model of Wave Propagation the underlying phenomena of the alternating current's origin in famous Faraday's experiment.

Mathematical Model of Shock Waves

Presented here is the mathematical model describing the phenomenon of shock waves. The underlying concept is based on the time-space model of wave propagation.

Time-Space Model of Business Fluctuations

Here author made an attempt to extend the Continuous-Time Model of Business Fluctuations on the space domain. Research methodology is based on Time-Space Model of Wave Propagation developed by author

Mathematical Model of Attraction and Repulsion Forces

Here I introduce the model in an attempt to describe the underlying reasons of attraction and repulsion forces between two physical bodies. Both electrical and gravitational forces are considered.

Mathematical Model of Gravitational and Electrostatic Forces

Author presents mathematical model for acting-on-a-distance attractive and repulsive forces based on propagation of energy waves that produces Newton expression for gravitational and Coulomb



The Physics of Waves

1. Harmonic Oscillation. 2. Damping, Forced Oscillations and Resonance. 3. Normal Modes. 4. Symmetries. 5. Waves. 6. The Continuum Limit and Fourier Series. 7. Longitudinal Oscillations and Sound. 8.

Partial Differential Equations of Mathematical Physics

THE main work of mathematical physicists is to represent the sequence of phenomena in time and space by means of differential equations, and to solve these equations. Even the revolution effected by

Ordinary Differential Equations.

together with the initial condition y(t0) = y0 A numerical solution to this problem generates a sequence of values for the independent variable, t0, t1, . . . , and a corresponding sequence of values

The Principle of Relativity

II. AT the root of what are generally thought of as our intuitive notions of space and time lies the conception of simultaneous instants at different points. The sensations by which we actually

Differential and Integral Calculus

This chapter introduces the differential and integral calculus, the greatest inventions of all time in mathematics. We explain the ideas of Leibniz, the Bernoullis, and Euler. A rigorous treatment in

Differential and Integral Calculus

  • F. B.
  • Mathematics
  • 1937
AbstractTHE English edition of Vol. 1 of this work was briefly reviewed in NATURE of March 9, 1935, and the present volume is a translation, also by Prof. McShane, of the original German text which

Ordinary Differential Equations

Basic Concepts.- Basic Theorems.- Linear Systems.- Proofs of the Main Theorems.- Differential Equations on Manifolds.

Fundamental Formulas of Physics