The homotopy perturbation method and analytical solution of the problem of flow past a rotating disk

DOI10.1016/j.camwa.2009.03.064zbMath1189.65157OpenAlexW1980478221MaRDI QIDQ979795

P. Donald Ariel

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.03.064

zbMATH Keywords

rotating diskhomotopy perturbation method (HPM)extended HPMsingle-parameter HPMackroyd's method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Numerical methods for ordinary differential equations (65L99)

Related Items (7)

The extended homotopy perturbation method and boundary layer flow due to condensation and natural convection on a porous vertical plate ⋮ Analytical and numerical solution for viscous dissipation effect on the heat transfer in a deformable channel ⋮ On the critical behaviour of exothermic explosions in class A geometries ⋮ On the exact solutions to some system of complex nonlinear models ⋮ Extended homotopy perturbation method and the axisymmetric flow past a porous stretching sheet ⋮ A new modified homotopy perturbation method with two free auxiliary parameters for solving MHD viscous flow due to a shrinking sheet ⋮ Unnamed Item

Cites Work

• Modified Lindstedt-Poincaré methods for some strongly nonlinear oscillations. I: Expansion of a constant
• Modified Lindstedt-Poincaré methods for some strongly nonlinear oscillations. II: A new transformation
• The three-dimensional flow past a stretching sheet and the homotopy perturbation method
• Axisymmetric flow due to a stretching sheet with partial slip
• Extended homotopy perturbation method and computation of flow past a stretching sheet
• On the steady flow produced by a rotating disc with either surface suction or injection
• Newton-like iteration method for solving algebraic equations
• The homotopy perturbation method for nonlinear oscillators with discontinuities.
• Homotopy perturbation method for bifurcation of nonlinear problems
• Homotopy perturbation technique
• Application of He's homotopy perturbation method to functional integral equations
• The Flow Near a Rotating Disk: An Approximate Solution
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
• On extremal point collocation method for fluid flow problems
• ON THE EFFECTS OF UNIFORM SUCTION ON THE STEADY FLOW DUE TO A ROTATING DISK
• A new approach to nonlinear partial differential equations

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