Iterative solutions for a beam equation with nonlinear boundary conditions of third order
From MaRDI portal
Publication:702572
DOI10.1016/j.amc.2003.08.088zbMath1095.74018OpenAlexW2027480868MaRDI QIDQ702572
Publication date: 17 January 2005
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2003.08.088
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)
Related Items
Existence of Positive Solutions for a Pertubed Fourth-Order Equation ⋮ A class of quasi-variable mesh methods based on off-step discretization for the solution of non-linear fourth order ordinary differential equations with Dirichlet and Neumann boundary conditions ⋮ Comparing numerical methods for solving fourth-order boundary value problems ⋮ Positive solutions of a singular semipositone boundary value problems for fourth-order coupled difference equations ⋮ Solutions of perturbed Hammerstein integral equations with applications ⋮ A reliable algorithm for solving fourth-order boundary value problems ⋮ Lower and upper solutions method to the fully elastic cantilever beam equation with support ⋮ A computationally efficient iterative scheme for solving fourth-order boundary value problems ⋮ Boundary integral solution for a class of fourth-order two-point boundary value problems ⋮ Positive solutions of a singular positone and semipositone boundary value problems for fourth-order difference equations ⋮ A novel efficient method for nonlinear boundary value problems ⋮ A general formula for the series solution of high-order linear and nonlinear boundary value problems ⋮ Existence and uniqueness of solutions to the nonlinear boundary value problem for fourth-order differential equations with all derivatives ⋮ Existence of positive solutions for the cantilever beam equations with fully nonlinear terms ⋮ A superconvergent ultra-weak local discontinuous Galerkin method for nonlinear fourth-order boundary-value problems ⋮ An iterative kernel based method for fourth order nonlinear equation with nonlinear boundary condition ⋮ Iterative reproducing kernel method for a beam equation with third-order nonlinear boundary conditions ⋮ Unnamed Item ⋮ Approximate series solution of fourth-order boundary value problems using decomposition method with Green's function ⋮ Triple Solutions for Elastic Beam Equations of the Fourth-Order with Boundary Conditions Subjected to an Elastic Device ⋮ An efficient method for fourth-order boundary value problems ⋮ Existence and iterative method for some fourth order nonlinear boundary value problems ⋮ Homotopy perturbation method for solving fourth-order boundary value problems ⋮ On the rate of the convergence of the characteristic values of an integral operator associated with a dissipative fourth order differential operator in lim-4 case with finite transmission conditions ⋮ Fully nonlinear fourth-order equations with functional boundary conditions ⋮ An approximate solution for boundary value problems in structural engineering and fluid mechanics ⋮ Iterative method for solving a beam equation with nonlinear boundary conditions ⋮ Unnamed Item ⋮ Infinitely many solutions for a fourth-order differential equation on a nonlinear elastic foundation ⋮ Nonnegative solutions of a Fredholm type integral equation with applications to boundary value problems ⋮ Positive solutions for a nonlinear Kirchhoff type beam equation ⋮ Positive solutions for a beam equation on a nonlinear elastic foundation ⋮ Numerical method for solving the nonlinear four-point boundary value problems ⋮ Numerical comparison of methods for solving a special fourth-order boundary value problem ⋮ Solvability for a third order discontinuous fully equation with nonlinear functional boundary conditions ⋮ Lidstone-Euler interpolation and related high even order boundary value problem ⋮ Lower and upper solutions for a fully nonlinear beam equation ⋮ Monotone positive solutions for a fourth order equation with nonlinear boundary conditions ⋮ The method of lower and upper solutions for the cantilever beam equations with fully nonlinear terms ⋮ A new reproducing kernel Hilbert space method for solving nonlinear fourth-order boundary value problems ⋮ Modified variational iteration method for solving fourth-order boundary value problems ⋮ Unnamed Item ⋮ Solvability for fully cantilever beam equations with superlinear nonlinearities
Cites Work
- Iterative methods for a fourth order boundary value problem
- Existence results and numerical solutions for a beam equation with nonlinear boundary conditions.
- The dual variational principle and equilibria for a beam resting on a discontinuous nonlinear elastic foundation
- Boundary stabilization for a non-linear beam on elastic bearings
- Numerical mountain pass solutions of a suspension bridge equation
- Iterative solutions to non-linear fourth order differential equations through multi-integral methods
- On the numerical integration of a boundary value problem involving a fourth order linear differential equation
- Unnamed Item
- Unnamed Item
- Unnamed Item