روش تجزیه ادومیان برای حل معادلات sine-gordon ,klein-gordon

Haar Wavelet Method for Solving the Klein-Gordon and the Sine-Gordon Equations

Abstract: Haar wavelet method for solving the Klein–Gordon and the sine-Gordon equations has been implemented. Application to partial differential equations is exemplified by solving the sine-Gordon equation. The efficiency of the method is demonstrated by five numerical examples. Computer simulation is carried out for problems the exact solution of which is known. This allows us to estimate th...

Noncommutative Sine-gordon Model Extremizing the Sine-gordon Action

As I briefly review, the sine-Gordon model may be obtained by dimensional and algebraic reduction from 2+2 dimensional self-dual U(2) Yang-Mills through a 2+1 dimensional integrable U(2) sigma model. I argue that the noncommutative (Moyal) deformation of this procedure should relax the algebraic reduction from U(2) → U(1) to U(2) → U(1)×U(1). The result are novel noncommutative sine-Gordon equa...

Global Weak Entropy Solutions to Quasilinear Wave Equations of Klein{gordon and Sine{gordon Type

We establish the existence of global Lipschitz continuous weak entropy solutions to the Cauchy problem for a class of quasilinear wave equations with an external positional force. We prove the consistency and the convergence of uniformly bounded nite{diierence fractional step approximations. Therefore the uniform bound is shown to hold for globally Lipschitz continuous external forces.

Sine-gordon Revisited

We study the sine-Gordon model in two dimensional space time in two different domains. For β > 8π and weak coupling, we introduce an ultraviolet cutoff and study the infrared behavior. A renormalization group analysis shows that the the model is asymptotically free in the infrared. For β < 8π and weak coupling, we introduce an infrared cutoff and study the ultraviolet behavior. A renormalizatio...

WAVELET SOLUTIONS OF THE KLEIN-GORDON EQUATION

روش های هم مکانی و هم مکانی تفاضلات متناهی برای حل معادلات غیر خطی klein-gordon

در این پایان نامه پس از مروری مختصر بر روشهای هم مکانی و تفاضلات متناهی دو روش عددی بر اساس روش های تفاضل متناهی و هم مکانی برای حل معادله غیر خطی کلین - گوردون ارائه شده است . ماتریس عملگرد مشتق برای حل توابع مقیاسی بی اسپلای به منظور جداکرد راه حل غیر خطی کلین - گوردون از راه حل جبری ارائه شده است .