Computational method for finding various solutions for a quasilinear elliptic equation of Kirchhoff type

DOI10.1016/j.advengsoft.2009.06.003zbMath1171.74044OpenAlexW1979461565MaRDI QIDQ730967

Prashant Kumar, Manoj Kumar

Publication date: 1 October 2009

Published in: Advances in Engineering Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.advengsoft.2009.06.003

zbMATH Keywords

finite element methodNewton methodforward differencescaling iterative algorithm

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Strings (74K05)

Related Items (5)

A ninth-order convergent method for solving the steady state reaction-diffusion model ⋮ Multilayer perceptrons and radial basis function neural network methods for the solution of differential equations: a survey ⋮ An iterative method with fifteenth-order convergence to solve systems of nonlinear equations ⋮ Numerical simulation of singularly perturbed non-linear elliptic boundary value problems using finite element method ⋮ Nonlocal problem for a general second-order elliptic operator

Uses Software

• Matlab

Cites Work

• A Galerkin method for a nonlinear integro-differential wave system
• Remarks on an elliptic equation of Kirchhoff type
• Finite element solution of nonlinear elliptic problems
• On the efficient solution of nonlinear finite element equations. I
• On global solutions and blow-up solutions of nonlinear Kirchhoff strings with nonlinear dissipation
• Effect of moving boundaries on the vibrating elastic string.
• Positive solutions for a nonlinear nonlocal elliptic transmission problem
• Positive solutions for a quasilinear elliptic equation of Kirchhoff type
• Remarks on a nonlocal problem involving the Dirichlet energy
• A numerical algorithm for the nonlinear Kirchhoff string equation
• On a class of nonlocal nonlinear elliptic problems
• Some remarks on non local elliptic and parabolic problems
• On the Well-Posedness of the Kirchhoff String
• ALGORITHMS AND VISUALIZATION FOR SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS
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