Numerical Solutions of Regularized Long Wave Equation By Haar Wavelet Method

2016 ◽  
Vol 13 (5) ◽  
pp. 3235-3253 ◽  
Author(s):  
Ö. Oruç ◽  
F. Bulut ◽  
A. Esen
Keyword(s):  
Wave Equation ◽  
Numerical Solutions ◽  
Haar Wavelet ◽  
Wavelet Method ◽  
Haar Wavelet Method ◽  
Long Wave ◽  
Regularized Long Wave Equation

scholarly journals Haar wavelets scheme for solving the unsteady gas-flow in 4-D

2020 ◽  
Vol 24 (2 Part B) ◽  
pp. 1357-1367 ◽  
Author(s):  
Mohamed Ali ◽  
Dumitru Baleanu
Keyword(s):  
Gas Flow ◽  
Numerical Solutions ◽  
Rates Of Convergence ◽  
Haar Wavelet ◽  
Haar Wavelets ◽  
Wavelet Method ◽  
Haar Wavelet Method ◽  
Collocation Points ◽  
Unsteady Gas Flow ◽  
Theoretical Results

The system of unsteady gas-flow of 4-D is solved successfully by alter the possibility of an algorithm based on collocation points and 4-D Haar wavelet method. Empirical rates of convergence of the Haar wavelet method are calculated which agree with theoretical results. To exhibit the efficiency of the strategy, the numerical solutions which are acquired utilizing the recommended strategy demonstrate that numerical solutions are in a decent fortuitous event with the exact solutions.

scholarly journals A linear finite difference scheme for the generalized dissipative symetric regularized long wave equation with damping

2019 ◽  
Vol 23 (Suppl. 3) ◽  
pp. 719-726 ◽  
Author(s):  
Xi Wang ◽  
Jin-Song Hu ◽  
Hong Zhang
Keyword(s):  
Wave Equation ◽  
Finite Difference ◽  
Difference Scheme ◽  
Finite Difference Scheme ◽  
Numerical Solutions ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Long Wave ◽  
Regularized Long Wave Equation ◽  
Initial Boundary Value

In this paper, we study and analyze a three-level linear finite difference scheme for the initial boundary value problem of the symmetric regularized long wave equation with damping. The proposed scheme has the second accuracy both for the spatial and temporal discretization. The convergence and stability of the numerical solutions are proved by the mathematical induction and the discrete functional analysis. Numerical results are given to verify the accuracy and the efficiency of proposed algorithm.

scholarly journals APPLICATION OF HIGHER ORDER HAAR WAVELET METHOD FOR SOLVING NONLINEAR EVOLUTION EQUATIONS

2020 ◽  
Vol 25 (2) ◽  
pp. 271-288 ◽  
Author(s):  
Mart Ratas ◽  
Andrus Salupere
Keyword(s):  
Wave Equation ◽  
Exact Solutions ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Vries Equation ◽  
Haar Wavelet ◽  
Higher Order ◽  
Nonlinear Evolution Equations ◽  
Wavelet Method ◽  
Haar Wavelet Method

The recently introduced higher order Haar wavelet method is treated for solving evolution equations. The wave equation, the Burgers’ equations and the Korteweg-de Vries equation are considered as model problems. The detailed analysis of the accuracy of the Haar wavelet method and the higher order Haar wavelet method is performed. The obtained results are validated against the exact solutions.

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