A numerical algorithm for solving higher-order nonlinear BVPs with an application on fluid flow over a shrinking permeable infinite long cylinder
type: Item
instance of: scholarly article
title: A numerical algorithm for solving higher-order nonlinear BVPs with an application on fluid flow over a shrinking permeable infinite long cylinder
zbMATH Open document ID: 1398.65178
DOI: 10.1155/2018/8269541
author: Yanyan Li
published in: Complexity
publication date: 2018-10-04T00:00:00Z
review text: Summary: We present an efficient iterative power series method for nonlinear boundary-value problems that treats the typical divergence problem and increases arbitrarily the radius of convergence. This method is based on expanding the solution around an iterative initial point. We employ this method to study the unsteady, viscous, and incompressible laminar flow and heat transfer over a shrinking permeable cylinder. More precisely, we solve the unsteady nonlinear Navier-Stokes and energy equations after reducing them to a system of nonlinear boundary-value problems of ordinary differential equations. The present method successfully captures dual solutions for both the flow and heat transfer fields and a unique solution at a specific critical unsteadiness parameter. Comparisons with previous numerical methods and an exact solution verify the validity, accuracy, and efficiency of the present method.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 6946859
zbMATH Keywords: iterative power series method
zbMATH Keywords: nonlinear boundary-value problems
zbMATH Keywords: unsteady nonlinear Navier-Stokes
zbMATH Keywords: energy equations
zbMATH Keywords: ordinary differential equations
describes a project that uses: TIDES
describes a project that uses: ATOMFT
describes a project that uses: DAETS
describes a project that uses: RODES
describes a project that uses: Taylor
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/8269541
OpenAlex ID: W2793031886
cites work: A reliable modification of Adomian decomposition method
cites work: The Optimal Homotopy Asymptotic Method
cites work: Numerical simulation of viscous flow past a circular cylinder subject to a circular motion
cites work: A numerical study of initial flow past a circular cylinder with combined streamwise and transverse oscillations
cites work: The effect of transpiration on self-similar boundary layer flow over moving surfaces
cites work: Note on unsteady viscous flow on the outside of an expanding or contracting cylinder
cites work: On dual solutions occurring in mixed convection in a porous medium
cites work: Analysis of stagnation point flow toward a stretching sheet
cites work: Falkner-Skan boundary layer flow of a power-law fluid past a stretching wedge
cites work: Uniform suction/blowing effect on flow and heat transfer due to a stretching cylinder
cites work: Melting heat transfer in boundary layer stagnation-point flow towards a stretching/shrinking sheet in a micropolar fluid
cites work: Unsteady stagnation-point flow over a plate moving along the direction of flow impingement
cites work: Slip effects on boundary layer stagnation-point flow and heat transfer towards a shrinking sheet
cites work: Mixed convection boundary layer flow towards a vertical plate with a convective surface boundary condition
cites work: Stagnation point flow toward a stretching/shrinking sheet with a convective surface boundary condition
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cites work: Method for Solving the Korteweg-deVries Equation
cites work: Integrals of nonlinear equations of evolution and solitary waves
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cites work: Solving frontier problems of physics: the decomposition method
cites work: A General Approach to Obtain Series Solutions of Nonlinear Differential Equations
cites work: Breaking the limits: The Taylor series method
cites work: Solving Ordinary Differential Equations Using Taylor Series
cites work: ATOMFT: Solving ODEs and DAEs using Taylor series
cites work: Solving high-index DAEs by Taylor series
cites work: Performance of the Taylor series method for ODEs/DAEs
cites work: Solving differential-algebraic equations by Taylor series. I: Computing Taylor coefficients
cites work: Solving differential-algebraic equations by Taylor series. II: Computing the system Jacobian
cites work: Q3540582
cites work: Validated solutions of initial value problems for ordinary differential equations
cites work: A rigorous ODE solver and Smale's 14th problem
cites work: Systematic search of symmetric periodic orbits in 2DOF Hamiltonian systems
cites work: Periodic, escape and chaotic orbits in the Copenhagen and the \((n + 1)\)-body ring problems
cites work: PAINTING CHAOS: A GALLERY OF SENSITIVITY PLOTS OF CLASSICAL PROBLEMS
cites work: A three-parametric study of the Lorenz model
cites work: A Software Package for the Numerical Integration of ODEs by Means of High-Order Taylor Methods
Wikidata QID: Q130129895
description: scientific article; zbMATH DE number 6946859