Prediction of multiplicity of solutions of nonlinear boundary value problems: novel application of homotopy analysis method
type: Item
instance of: scholarly article
title: Prediction of multiplicity of solutions of nonlinear boundary value problems: novel application of homotopy analysis method
zbMATH Open document ID: 1222.65081
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: 34B15
zbMATH DE Number: 5958140
zbMATH Keywords: homotopy analysis method
zbMATH Keywords: convergence-controller parameter
zbMATH Keywords: prediction of multiple solutions
zbMATH Keywords: nonlinear heat transfer equation
zbMATH Keywords: nonlinear Bratu's equation
zbMATH Keywords: nonlinear reaction-diffusion equation
author: Saeid Abbasbandy
author: Elyas Shivanian
MaRDI profile type: Publication
full work available at URL: j.cnsns.2010.01.030
OpenAlex ID: W2006722969
cites work: Numerical Methods for Ordinary Differential Equations
cites work: Q3696432
cites work: Q3138769
cites work: Q5682682
cites work: Solving frontier problems of physics: the decomposition method
cites work: Q5544538
cites work: Analytic solution for rotating flow and heat transfer analysis of a third-grade fluid
cites work: Rotating flow of a third-grade fluid in a porous space with Hall current
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: The influence of thermal radiation on MHD flow of a second grade fluid
cites work: Homotopy analysis of MHD boundary layer flow of an upper-convected Maxwell fluid
cites work: On the MHD flow of a second-grade fluid in a porous channel
cites work: The effect of the slip condition on flows of an Oldroyd 6-constant fluid
cites work: Non-similar analytic solution for MHD flow and heat transfer in a third-order fluid over a stretching sheet
cites work: Non-similar solution for the axisymmetric flow of a third-grade fluid over a radially stretching sheet
cites work: Soliton solutions for the fifth-order KdV equation with the homotopy analysis method
cites work: The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KdV equation
cites work: Application of homotopy analysis method to fractional KdV-Burgers-Kuramoto equation
cites work: The application of homotopy analysis method to nonlinear equations arising in heat transfer
cites work: An exact and explicit solution for the valuation of American put options
cites work: A closed-form analytical solution for the valuation of convertible bonds with constant dividend yield
cites work: Explicit solution to the exact Riemann problem and application in nonlinear shallow‐water equations
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 homotopy analysis method to solve the Burgers-Huxley equation
cites work: Solutions of time-dependent Emden-Fowler type equations by homotopy analysis method
cites work: Applying homotopy analysis method for solving differential-difference equation
cites work: On exact solution of Laplace equation with Dirichlet and Neumann boundary conditions by the homotopy analysis method
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: Dual solutions of boundary layer flow over an upstream moving plate
cites work: An analytic approach to solve multiple solutions of a strongly nonlinear problem
cites work: Analytical solutions to heat transfer equations by homotopy-perturbation method revisited
cites work: The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer
cites work: The application of He's variational iteration method to nonlinear equations arising in heat transfer
cites work: Adomian decomposition method for a reliable treatment of the Bratu-type equations
cites work: New smoother to enhance multigrid-based methods for Bratu problem
cites work: An efficient method for solving Bratu equations
cites work: The homotopy analysis method for multiple solutions of nonlinear boundary value problems
cites work: Nonlinear statics and dynamics of antisymmetric composite laminated square plates supported on nonlinear elastic subgrade
cites work: Nonlinear analysis of thin rectangular plates on Winkler-Pasternak elastic foundations by DSC-HDQ methods
DOI: 10.1016/J.CNSNS.2010.01.030
Recommended article: The homotopy analysis method for multiple solutions of nonlinear boundary value problems
Recommended article: Predictor homotopy analysis method and its application to some nonlinear problems
Recommended article: The multiplicity of solutions in non-homogeneous boundary value problems
Recommended article: Multiplicity of Solutions of Nonlinear Boundary Value Problems
Recommended article: Q3078424
Recommended article: Multiplicity of solutions of a nonlinear boundary problem with homogeneous neumann boundary conditions
Recommended article: Application of the homotopy analysis method to solving nonlinear evolution equations
Recommended article: Multiple solutions of nonlinear boundary-value problems for ordinary differential equations
Recommended article: Q4603301
Recommended article: Q5694053
description: scientific article; zbMATH DE number 5958140