A new approximate method and its convergence for a strongly nonlinear problem governing electrohydrodynamic flow of a fluid in a circular cylindrical conduit

DOI10.1016/J.AMC.2018.09.010zbMath1428.76174OpenAlexW2894108419MaRDI QIDQ2007803

Harshita Madduri, Pradip Roul

Publication date: 22 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.09.010

zbMATH Keywords

convergence analysisstrong nonlinearitynonperturbative methodHartmann electric numberelectrohydrodynamic fluid flow

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Basic methods in fluid mechanics (76M99)

Related Items (5)

Spectral solutions of fractional differential equation modelling electrohydrodynamics flow in a cylindrical conduit ⋮ A fourth-order non-uniform mesh optimal B-spline collocation method for solving a strongly nonlinear singular boundary value problem describing electrohydrodynamic flow of a fluid ⋮ A compact finite difference method for a general class of nonlinear singular boundary value problems with Neumann and Robin boundary conditions ⋮ A new high order numerical approach for a class of nonlinear derivative dependent singular boundary value problems ⋮ A quartic trigonometric B-spline collocation method for a general class of nonlinear singular boundary value problems

Cites Work

• New approach for solving a class of singular boundary value problem arising in various physical models
• Approximate solution for the electrohydrodynamic flow in a circular cylindrical conduit
• Analytic treatment of linear and nonlinear Schrödinger equations: a study with homotopy-perturbation and Adomian decomposition methods
• Exact solutions of Laplace equation by homotopy-perturbation and Adomian decomposition methods
• Homotopy analysis method applied to electrohydrodynamic flow
• A novel numerical approach and its convergence for numerical solution of nonlinear doubly singular boundary value problems
• Application of He's variational iteration method and Adomian's decomposition method to the fractional KdV-Burgers-Kuramoto equation
• Solving frontier problems of physics: the decomposition method
• On the homotopy analysis method for nonlinear problems.
• Solving Fokker-Planck equations on Cantor sets using local fractional decomposition method
• Approximate analytical solution for seepage flow with fractional derivatives in porous media
• On the Solutions of Electrohydrodynamic Flow in a Circular Cylindrical Conduit
• Calculation of Electrohydrodynamic Flow in a Circular Cylindrical Conduit

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