An optimal homotopy-analysis approach for strongly nonlinear differential equations
type: Item
instance of: scholarly article
title: An optimal homotopy-analysis approach for strongly nonlinear differential equations
zbMATH Open document ID: 1222.65088
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2011-10-13T00:00:00Z
Mathematics Subject Classification ID: 65L99
Mathematics Subject Classification ID: 34A25
Mathematics Subject Classification ID: 34A45
zbMATH DE Number: 5957982
zbMATH Keywords: optimal homotopy-analysis method
zbMATH Keywords: nonlinear
zbMATH Keywords: analytic approximation
zbMATH Keywords: series solution
author: Shijun Liao
MaRDI profile type: Publication
full work available at URL: j.cnsns.2009.09.002
OpenAlex ID: W2119794696
cites work: Q5544538
cites work: Q4096019
cites work: Q3997538
cites work: Multiple scale and singular perturbation methods
cites work: Perturbation methods.
cites work: Q3138769
cites work: Asymptotic approaches in nonlinear dynamics. New trends and applications
cites work: Nonlinear stochastic differential equations
cites work: A global method for solution of complex systems
cites work: Convergence of Adomian's Method
cites work: A review of the decomposition method and some recent results for nonlinear equations
cites work: Solving frontier problems of physics: the decomposition method
cites work: A new definition of the Adomian polynomials
cites work: Q5821080
cites work: Q3311231
cites work: An explicit, totally analytic approximate solution for Blasius' viscous flow problems
cites work: A kind of approximation solution technique which does not depend upon small parameters. II: An application in fluid mechanics
cites work: Comparison of homotopy analysis method and homotopy perturbation method through an evolution equation
cites work: On the relationship between the homotopy analysis method and Euler transform
cites work: Notes on the homotopy analysis method: some definitions and theorems
cites work: On the homotopy analysis method for nonlinear problems.
cites work: A new branch of solutions of boundary-layer flows over an impermeable stretched plate
cites work: A general approach to get series solution of non-similarity boundary-layer flows
cites work: On the explicit, purely analytic solution of von Kármán swirling viscous flow
cites work: Homotopy perturbation technique
cites work: Comparison of HAM and HPM methods in nonlinear heat conduction and convection equations
cites work: The application of homotopy analysis method to nonlinear equations arising in heat transfer
cites work: Analytic and numerical solutions to the Lane-Emden equation
cites work: The homotopy analysis method to solve the Burgers-Huxley equation
cites work: An analytic solution of projectile motion with the quadratic resistance law using the homotopy analysis method
cites work: A closed-form analytical solution for the valuation of convertible bonds with constant dividend yield
cites work: An exact and explicit solution for the valuation of American put options
cites work: Solving the discrete KdV equation with homotopy analysis method
cites work: Derivation of the Adomian decomposition method using the homotopy analysis method
cites work: Solitary wave solutions to the Kuramoto-Sivashinsky equation by means of the homotopy analysis method
cites work: Magnetohydrodynamic flow of a viscoelastic fluid
cites work: Solitary smooth hump solutions of the Camassa-Holm equation by means of the homotopy analysis method
cites work: Hydromagnetic flow in a viscoelastic fluid due to the oscillatory stretching surface
cites work: Explicit solution to the exact Riemann problem and application in nonlinear shallow‐water equations
cites work: Homotopy solution for nonlinear differential equations in wave propagation problems
cites work: The homotopy analysis method for approximating the solution of the modified Korteweg-de Vries equation
cites work: A closed-form solution to American options under general diffusion processes
cites work: Exponentially decaying boundary layers as limiting cases of families of algebraically decaying ones
cites work: A new branch of solutions of boundary-layer flows over a permeable stretching plate
cites work: An optimal homotopy asymptotic method applied to the steady flow of a fourth-grade fluid past a porous plate
cites work: A one-step optimal homotopy analysis method for nonlinear differential equations
DOI: 10.1016/J.CNSNS.2009.09.002
description: scientific article; zbMATH DE number 5957982