Application of Daubechies wavelets for solving Kuramoto-Sivashinsky type equations
نویسندگان
چکیده مقاله:
We show how Daubechies wavelets are used to solve Kuramoto-Sivashinsky type equations with periodic boundary condition. Wavelet bases are used for numerical solution of the Kuramoto-Sivashinsky type equations by Galerkin method. The numerical results in comparison with the exact solution prove the efficiency and accuracy of our method.
منابع مشابه
application of daubechies wavelets for solving kuramoto-sivashinsky type equations
we show how daubechies wavelets are used to solve kuramoto-sivashinsky type equations with periodic boundary condition. wavelet bases are used for numerical solution of the kuramoto-sivashinsky type equations by galerkin method. the numerical results in comparison with the exact solution prove the efficiency and accuracy of our method.
متن کاملBackward Difference Formulae for Kuramoto–sivashinsky Type Equations∗
We analyze the discretization of the periodic initial value problem for Kuramoto–Sivashinsky type equations with Burgers nonlinearity by implicit– explicit backward difference formula (BDF) methods, establish stability and derive optimal order error estimates. We also study discretization in space by spectral methods.
متن کاملOptimal Parameter-dependent Bounds for Kuramoto-sivashinsky-type Equations
We derive a priori estimates on the absorbing ball in L2 for the stabilized and destabilized Kuramoto-Sivashinsky (KS) equations, and for a sixth-order analog, the Nikolaevskiy equation, and in each case obtain bounds whose parameter dependence is demonstrably optimal. This is done by extending a Lyapunov function construction developed by Bronski and Gambill (Nonlinearity 19, 2023–2039 (2006))...
متن کاملLegendre Wavelets for Solving Fractional Differential Equations
In this paper, we develop a framework to obtain approximate numerical solutions to ordinary differential equations (ODEs) involving fractional order derivatives using Legendre wavelets approximations. The continues Legendre wavelets constructed on [0, 1] are utilized as a basis in collocation method. Illustrative examples are included to demonstrate the validity and applicability of the techn...
متن کاملRigorous Numerics for Partial Differential Equations: The Kuramoto-Sivashinsky Equation
We present a new topological method for the study of the dynamics of dissipative PDE’s. The method is based on the concept of the selfconsistent apriori bounds, which allows to justify rigorously the Galerkin projection. As a result we obtain a low-dimensional system of ODE’s subject to rigorously controlled small perturbation from the neglected modes. To this ODE’s we apply the Conley index to...
متن کاملApplication of He's homotopy perturbation method for solving Sivashinsky equation
In this paper, the solution of the evolutionaryfourth-order in space, Sivashinsky equation is obtained by meansof homotopy perturbation method (textbf{HPM}). The results revealthat the method is very effective, convenient and quite accurateto systems of nonlinear partial differential equations.
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ذخیره در منابع من قبلا به منابع من ذحیره شده{@ msg_add @}
عنوان ژورنال
دوره 3 شماره 1
صفحات 57- 66
تاریخ انتشار 2014-06-30
با دنبال کردن یک ژورنال هنگامی که شماره جدید این ژورنال منتشر می شود به شما از طریق ایمیل اطلاع داده می شود.
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023