A general solution for Troesch's problem
type: Item
instance of: scholarly article
title: A general solution for Troesch's problem
zbMATH Open document ID: 1264.65132
DOI: 10.1155/2012/208375
author: H. Vázquez-Leal
author: Y. Khan
author: A. L. Herrera-May
author: A. Sarmiento-Reyes
author: V. M. Jiménez-Fernández
author: D. Pereyra-Díaz
author: Guillermo Fernández-Anaya
author: U. Filobello-Nino
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: The homotopy perturbation method (HPM) is employed to obtain an approximate solution for the nonlinear differential equation which describes Troesch's problem. In contrast to other reported solutions obtained by using variational iteration method, decomposition method approximation, homotopy analysis method, Laplace transform decomposition method, and HPM method, the proposed solution shows the highest degree of accuracy in the results for a remarkable wide range of values of Troesch's parameter.
Mathematics Subject Classification ID: 65L99
Mathematics Subject Classification ID: 34A45
zbMATH DE Number: 6173095
Wikidata QID: Q58911296
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/208375
OpenAlex ID: W2116817497
cites work: On the closed form solution of Troesch's problem
cites work: Numerical solution of Troesch's problem by simple shooting method
cites work: Troesch's problem: a B-spline collocation approach
cites work: The sinc-Galerkin method for solving Troesch's problem
cites work: A smart nonstandard finite difference scheme for second order nonlinear boundary value problems
cites work: Solution of Troesch's, and other, two point boundary value problems by shooting techniques
cites work: Q3551290
cites work: An efficient algorithm for solving Troesch's problem
cites work: An algorithm for solving boundary value problems
cites work: An efficient analytic approach for solving two-point nonlinear boundary value problems by homotopy analysis method
cites work: A variational iteration method for solving Troesch's problem
cites work: A Numerical Algorithm For Solving Troesch'S Problem
cites work: Comparison of homotopy perturbation method and homotopy analysis method
cites work: An elementary introduction to the homotopy perturbation method
cites work: Homotopy perturbation technique
cites work: Modified HPMs inspired by homotopy continuation methods
cites work: The effects of variable viscosity and thermal conductivity on a thin film flow over a shrinking/stretching sheet
cites work: A new fractional analytical approach via a modified Riemann-Liouville derivative
cites work: Q4919039
cites work: A simple approach to a sensitive two-point boundary value problem
cites work: Continuous and discontinuous numerical solutions to the Troesch problem
cites work: The comparative Boubaker polynomials expansion scheme (BPES) and homotopy perturbation method (HPM) for solving a standard nonlinear second-order boundary value problem
cites work: Numerical solution of 3D Green's function for the dynamic system of anisotropic elasticity
cites work: Study of convergence of homotopy perturbation method for systems of partial differential equations
cites work: Convergence of the homotopy perturbation method for partial differential equations
cites work: Application of the homotopy perturbation method to Zakharov-Kuznetsov equations
cites work: Exact solutions for non-linear Schrödinger equations by He's homotopy perturbation method
cites work: He's homotopy perturbation method for systems of integro-differential equations
cites work: Application of homotopy perturbation method for systems of Volterra integral equations of the first kind
cites work: He's homotopy perturbation method for solving systems of Volterra integral equations of the second kind
cites work: Numerical solution for special nonlinear Fredholm integral equation by HPM
cites work: On the coupling of the homotopy perturbation method and Laplace transformation
cites work: Solution of the epidemic model by homotopy perturbation method
cites work: The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer
cites work: Application of homotopy-perturbation and variational iteration methods to nonlinear heat transfer and porous media equations
cites work: Variational iteration method and homotopy perturbation method for nonlinear evolution equations
cites work: An auxiliary parameter method using Adomian polynomials and Laplace transformation for nonlinear differential equations
cites work: Rational biparameter homotopy perturbation method and Laplace-Padé coupled version
cites work: Removal of noise oscillation term appearing in the nonlinear equation solution
description: scientific article; zbMATH DE number 6173095