A HAM-based wavelet approach for nonlinear ordinary differential equations
type: Item
instance of: scholarly article
title: A HAM-based wavelet approach for nonlinear ordinary differential equations
author: Zhaochen Yang
author: Shijun Liao
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2020-10-07T00:00:00Z
Mathematics Subject Classification ID: 65-XX
Mathematics Subject Classification ID: 34-XX
zbMATH DE Number: 7257658
zbMATH Keywords: wavelet
zbMATH Keywords: homotopy analysis method
zbMATH Keywords: HAM
zbMATH Keywords: generalized Coiflet-type wavelet
zbMATH Keywords: Bratu equation
describes a project that uses: BVPh
MaRDI profile type: Publication
full work available at URL: j.cnsns.2017.01.005
OpenAlex ID: W2570086742
cites work: On the homotopy analysis method for nonlinear problems.
cites work: Notes on the homotopy analysis method: some definitions and theorems
cites work: An optimal homotopy-analysis approach for strongly nonlinear differential equations
cites work: Nonlinear Flow Phenomena and Homotopy Analysis
cites work: The application of homotopy analysis method to nonlinear equations arising in heat transfer
cites work: Homotopy solution for the channel flow of a third-grade fluid
cites work: Analytic and numerical solutions to the Lane-Emden equation
cites work: Application of the homotopy analysis method to the Poisson-Boltzmann equation for semiconductor devices
cites work: Homotopy analysis method applied to electrohydrodynamic flow
cites work: Activation of effector immune cells promotes tumor stochastic extinction: a homotopy analysis approach
cites work: An analytical method for analyzing symmetry-breaking bifurcation and period-doubling bifurcation
cites work: Q3138769
cites work: An iterative HAM approach for nonlinear boundary value problems in a semi-infinite domain
cites work: A new spectral-homotopy analysis method for solving a nonlinear second order BVP
cites work: A new spectral-homotopy analysis method for the MHD Jeffery-Hamel problem
cites work: A spectral‐homotopy analysis method for heat transfer flow of a third grade fluid between parallel plates
cites work: APPLICATION OF THE NEW SPECTRAL HOMOTOPY ANALYSIS METHOD (SHAM) IN THE NON-LINEAR HEAT CONDUCTION AND CONVECTIVE FIN PROBLEM WITH VARIABLE THERMAL CONDUCTIVITY
cites work: Spectral homotopy analysis method and its convergence for solving a class of nonlinear optimal control problems
cites work: Computation of the Laplace inverse transform by application of the wavelet theory
cites work: A wavelet approach for active-passive vibration control of laminated plates
cites work: Q2964850
cites work: Ten Lectures on Wavelets
cites work: Wavelet Methods for Fast Resolution of Elliptic Problems
cites work: Wavelet-Like Bases for the Fast Solution of Second-Kind Integral Equations
cites work: Galerkin-wavelet methods for two-point boundary value problems
cites work: A Wavelet Numerical Method for Solving Nonlinear Fractional Vibration, Diffusion and Wave Equations
cites work: THE COMPUTATION OF WAVELET-GALERKIN APPROXIMATION ON A BOUNDED INTERVAL
cites work: Q4937609
cites work: Quadrature Formulae and Asymptotic Error Expansions for Wavelet Approximations of Smooth Functions
cites work: The Liouville-Bratu-Gelfand problem for radial operators
cites work: Application of a Mickens finite-difference scheme to the cylindrical Bratu-Gelfand problem
cites work: Non-polynomial spline method for solving Bratu's problem
DOI: 10.1016/J.CNSNS.2017.01.005
Recommended article: A HAM-based wavelet approach for nonlinear partial differential equations: two dimensional Bratu problem as an application
Recommended article: Haar wavelet method for nonlinear integro-differential equations
Recommended article: Harmonic wavelets towards the solution of nonlinear PDE
Recommended article: Q2964850
Recommended article: Wilson wavelets-based approximation method for solving nonlinear Fredholm–Hammerstein integral equations
Recommended article: Solution of nonlinear Fredholm-Hammerstein integral equations by using semiorthogonal spline wavelets
Recommended article: A wavelet-based method for numerical solution of nonlinear evolution equations
Recommended article: Haar wavelet solutions of nonlinear oscillator equations
Recommended article: Q3072239
Recommended article: Wavelet applications to the Petrov--Galerkin method for Hammerstein equations
description: scientific article; zbMATH DE number 7257658