Haar wavelet methods for numerical solutions of Harry Dym (HD), BBM Burger's and 2D diffusion equations
type: Item
instance of: scholarly article
title: Haar wavelet methods for numerical solutions of Harry Dym (HD), BBM Burger's and 2D diffusion equations
zbMATH Open document ID: 1402.65131
author: Inderdeep Singh
author: Sheo Kumar
published in: Bulletin of the Brazilian Mathematical Society. New Series
publication date: 2018-09-05T00:00:00Z
review text: Using Haar wavelet methods, the authors solve some initial boundary value problems of partial differential equations, namely the nonlinear Dym equation of third order, the nonlinear Benjamin-Bona-Mahony-Burgers (BBM-Burgers) equation of third order, and the linear two-dimensional diffusion equation of second order. Numerical examples illustrate the performance of this approach in comparison to other numerical methods.
reviewed by: Manfred Tasche
Mathematics Subject Classification ID: 65M99
Mathematics Subject Classification ID: 65T60
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 6932350
zbMATH Keywords: Haar wavelet method
zbMATH Keywords: numerical solution of partial differential equation
zbMATH Keywords: Dym equation
zbMATH Keywords: BBM-Burgers equation
zbMATH Keywords: diffusion equation
MaRDI profile type: Publication
full work available at URL: s00574-017-0055-7
OpenAlex ID: W2766001322
cites work: Galerkin-least square B-spline approach toward advection-diffusion equation
cites work: Wavelets collocation methods for the numerical solution of elliptic BV problems
cites work: Haar Wavelet Splines
cites work: Q4469082
cites work: Haar wavelet method for solving generalized Burgers-Huxley equation
cites work: Haar wavelet method for solving lumped and distributed-parameter systems
cites work: Scheme of constructing soliton-type solutions of the \((2+1)\)-dimensional Harry Dym equation
cites work: Multisoliton solutions of the \((2+1)\)-dimensional Harry Dym equation
cites work: Explicit solutions for the Harry Dym equation
cites work: Haar wavelet method for solving Fisher's equation
cites work: A new approach of the Chebyshev wavelets method for partial differential equations with boundary conditions of the telegraph type
cites work: Approximate wave solutions for generalized Benjamin-Bona-Mahony-Burgers equations
cites work: Q3508739
cites work: An efficient approach for fractional Harry Dym equation by using Sumudu transform
cites work: Numerical solution of differential equations using Haar wavelets
cites work: Numerical solution of evolution equations by the Haar wavelet method
cites work: Solving PDEs with the aid of two-dimensional Haar wavelets
cites work: Comparison between the homotopy analysis method and homotopy perturbation method
cites work: An extended Harry Dym hierarchy
cites work: Q4924341
cites work: Construction of coupled Harry Dym hierarchy and its solutions from Stäckel systems
cites work: A numerical study of two dimensional hyperbolic telegraph equation by modified B-spline differential quadrature method
cites work: Exact Solutions of the Harry—Dym Equation
cites work: Q3679549
cites work: The symmetries of solitons
cites work: A General Formula of Flow Equations for Harry—Dym Hierarchy
cites work: The generalized Harry Dym equation
cites work: Numerical solution of two-dimensional elliptic PDEs with nonlocal boundary conditions
cites work: Solving 2D and 3D Poisson equations and biharmonic equations by the Haar wavelet method
DOI: 10.1007/S00574-017-0055-7
description: scientific article; zbMATH DE number 6932350