Approximate solutions of singular two-point BVPs by modified homotopy analysis method

DOI10.1016/j.physleta.2008.03.026zbMath1220.34026OpenAlexW2001206153MaRDI QIDQ637957

A. Sami Bataineh, Mohd. Salmi Md. Noorani, Ishak Hashim

Publication date: 6 September 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.03.026

zbMATH Keywords

singular two-point boundary value problemsseries solutionsmodified homotopy analysis method

Mathematics Subject Classification ID

Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (22)

A new technique of using homotopy analysis method for solving high-order nonlinear differential equations ⋮ Numerical scheme for solving singular two-point boundary value problems ⋮ Approximate solutions of singular two-point BVPs using Legendre operational matrix of differentiation ⋮ A Legendre reproducing kernel method with higher convergence order for a class of singular two-point boundary value problems ⋮ Precise integration method for a class of singular two-point boundary value problems ⋮ Transformed Hermite functions on a finite interval and their applications to a class of singular boundary value problems ⋮ He's variational iteration method for treating nonlinear singular boundary value problems ⋮ Numerical solution of singular two-point boundary value problems by the collocation method with the Chebyshev bases ⋮ A new analytical and numerical treatment for singular two-point boundary value problems via the Adomian decomposition method ⋮ An effective approach for numerical solution of linear and nonlinear singular boundary value problems ⋮ The homotopy analysis method and the Liénard equation ⋮ Three-dimensional flow of upper-convected Maxwell (UCM) fluid ⋮ Series solution of the multispecies Lotka-Volterra equations by means of the homotopy analysis method ⋮ Effects of mass transfer on the stagnation point flow of an upper-convected Maxwell (UCM) fluid ⋮ On series solution for unsteady boundary layer equations in a special third grade fluid ⋮ On convergence of homotopy analysis method and its modification for fractional modified KdV equations ⋮ Solution of singular two-point boundary value problems using differential transformation method ⋮ 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 ⋮ MASS TRANSFER EFFECTS ON THE UNSTEADY FLOW OF UCM FLUID OVER A STRETCHING SHEET ⋮ Series solutions of time-fractional PDEs by homotopy analysis method ⋮ On comparison of exact and series solutions for thin film flow of a third-grade fluid ⋮ On series solutions for MHD plane and axisymmetric flow near a stagnation point

Cites Work

• Unnamed Item
• Exact flow of a third grade fluid past a porous plate using homotopy analysis method
• The homotopy analysis method for Cauchy reaction-diffusion problems
• Homotopy analysis of MHD flows of an Oldroyd 8-constant fluid
• Solutions of time-dependent Emden-Fowler type equations by homotopy analysis method
• An explicit, totally analytic approximate solution for Blasius' viscous flow problems
• The application of homotopy analysis method to nonlinear equations arising in heat transfer
• A new branch of solutions of boundary-layer flows over an impermeable stretched plate
• Variational iteration method for solving two-point boundary value problems
• A kind of approximation solution technique which does not depend upon small parameters. II: An application in fluid mechanics
• On the homotopy analysis method for nonlinear problems.
• Explicit analytic solution for similarity boundary layer equations.
• An approximate solution technique not depending on small parameters: A special example
• A finite difference method for approximating the solution of a certain class of singular two-point boundary value problems
• Solving singular two-point boundary value problem in reproducing kernel space
• The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KdV equation
• Homotopy analysis method for quadratic Riccati differential equation
• Theory and computation in singular boundary value problems
• Homotopy solutions for a generalized second-grade fluid past a porous plate
• Comparison between the homotopy analysis method and homotopy perturbation method
• Cubic spline for a class of singular two-point boundary value problems

This page was built for publication: Approximate solutions of singular two-point BVPs by modified homotopy analysis method