Series solution of nonlinear eigenvalue problems by means of the homotopy analysis method
type: Item
instance of: scholarly article
title: Series solution of nonlinear eigenvalue problems by means of the homotopy analysis method
zbMATH Open document ID: 1163.35450
author: Shijun Liao
published in: Nonlinear Analysis. Real World Applications
publication date: 2009-06-29T00:00:00Z
Mathematics Subject Classification ID: 35P30
zbMATH DE Number: 5571282
zbMATH Keywords: eigenvalue
zbMATH Keywords: eigenfunction
zbMATH Keywords: nonlinear
zbMATH Keywords: series
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2008.05.003
OpenAlex ID: W2049144645
cites work: Q5544538
cites work: Q3895818
cites work: Q3997538
cites work: Q4693185
cites work: Multiple scale and singular perturbation methods
cites work: Perturbation methods.
cites work: Nonlinear stochastic differential equations
cites work: On the solution of algebraic equations by the decomposition method
cites work: A review of the decomposition method and some recent results for nonlinear equations
cites work: Q3138769
cites work: An explicit, totally analytic approximate solution for Blasius' viscous flow problems
cites work: On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet
cites work: Notes on the homotopy analysis method: some definitions and theorems
cites work: An analytic solution of projectile motion with the quadratic resistance law using the homotopy analysis method
cites work: Explicit series solution for the Glauert-jet problem by means of the homotopy analysis method
cites work: The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KdV equation
cites work: On analytic solution for thin film flow of a fourth grade fluid down a vertical cylinder
cites work: Analytic solution for axisymmetric flow and heat transfer of a second grade fluid past a stretching sheet
cites work: Derivation of the Adomian decomposition method 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: An explicit solution of the large deformation of a cantilever beam under point load at the free tip
cites work: A new branch of solutions of boundary-layer flows over an impermeable stretched plate
cites work: Exponentially decaying boundary layers as limiting cases of families of algebraically decaying ones
DOI: 10.1016/J.NONRWA.2008.05.003
description: scientific article; zbMATH DE number 5571282