Laplace transform for the solution of higher order deformation equations arising in the homotopy analysis method
type: Item
instance of: scholarly article
title: Laplace transform for the solution of higher order deformation equations arising in the homotopy analysis method
zbMATH Open document ID: 1298.65108
author: Songxin Liang
author: Junchi Ma
published in: Numerical Algorithms
publication date: 2014-09-19T00:00:00Z
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 44A10
Mathematics Subject Classification ID: 34A25
zbMATH DE Number: 6346232
zbMATH Keywords: Laplace transform
zbMATH Keywords: initial value problem
zbMATH Keywords: analytic solution
zbMATH Keywords: homotopy analysis method
describes a project that uses: BVPh
MaRDI profile type: Publication
full work available at URL: s11075-013-9773-0
OpenAlex ID: W1996475414
cites work: Beyond Perturbation
cites work: Homotopy Analysis Method in Nonlinear Differential Equations
cites work: Comparison of homotopy analysis method and homotopy perturbation method through an evolution equation
cites work: On series solution for unsteady boundary layer equations in a special third grade fluid
cites work: Solving a model for the evolution of smoking habit in Spain with homotopy analysis method
cites work: An analytical approach for solving nonlinear boundary value problems in finite domains
cites work: Unique and multiple PHAM series solutions of a class of nonlinear reactive transport model
cites work: A new spectral-homotopy analysis method for solving a nonlinear second order BVP
cites work: Q5634405
cites work: Q4003427
cites work: Exact analytic, regular perturbation and numerical solutions of symmetry reductions of a (2+1)-dimensional KdV-Burgers equation
cites work: Symmetry analysis of initial-value problems
cites work: On the selection of auxiliary functions, operators, and convergence control parameters in the application of the homotopy analysis method to nonlinear differential equations: a general approach
cites work: The comparison between homotopy analysis method and optimal homotopy asymptotic method for nonlinear age-structured population models
cites work: Mathematical properties of \(\hbar\)-curve in the frame work of the homotopy analysis method
cites work: Gaussian waves in the Fitzhugh-Nagumo equation demonstrate one role of the auxiliary function \(H(x, t)\) in the homotopy analysis method
cites work: Control of error in the homotopy analysis of semi-linear elliptic boundary value problems
cites work: Optimal homotopy analysis method for nonlinear differential equations in the boundary layer
cites work: An optimal homotopy-analysis approach for strongly nonlinear differential equations
DOI: 10.1007/S11075-013-9773-0
description: scientific article; zbMATH DE number 6346232