A class of numerical methods for the solution of fourth-order nonlinear ordinary differential equations on a graded mesh with boundary conditions of first kind

DOI10.1080/15502287.2019.1600072MaRDI QIDQ6571416

Md Hasan Sarwer, Ranjan Kumar Mohanty

Publication date: 12 July 2024

Published in: International Journal for Computational Methods in Engineering Science and Mechanics (Search for Journal in Brave)

Mathematics Subject Classification ID

Numerical linear algebra (65Fxx) Numerical methods for ordinary differential equations (65Lxx) Boundary value problems for ordinary differential equations (34Bxx)

Cites Work

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• A class of numerical methods for the solution of fourth-order ordinary differential equations in polar coordinates
• Double exponential transformation in the sinc-collocation method for a boundary value problem with fourth-order ordinary differential equation
• Monotone iterative technique and symmetric positive solutions for a fourth-order boundary value problem
• The existence and the uniqueness of symmetric positive solutions for a fourth-order boundary value problem
• Iterative solutions for a beam equation with nonlinear boundary conditions of third order
• Iterative methods for a fourth order boundary value problem
• An efficient method for fourth-order boundary value problems
• Numerical comparison of methods for solving a special fourth-order boundary value problem
• On the nonexistence and existence of solutions for a fourth-order discrete boundary value problem
• Finite difference methods for computing eigenvalues of fourth order boundary value problems
• Boundary value problems occurring in plate deflection theory
• On the radial flow of a viscous fluid between porous disks
• 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
• Subdivision schemes based collocation algorithms for solution of fourth order boundary value problems
• The solution of fourth order boundary value problem arising out of the beam-column theory using Adomian decomposition method
• A fourth-order finite difference method for the general one-dimensional nonlinear biharmonic problems of first kind
• Solving two dimensional second order elliptic equations in exterior domains using the inverted finite elements method
• Countably many solutions of a fourth order boundary value problem
• BLOCK ITERATIVE METHODS FOR ONE DIMENSIONAL NONLINEAR BIHARMONIC PROBLEMS ON A PARALLEL COMPUTER*
• Existence of solutions of nonlinear fourth order discrete boundary value problem
• Applied elasticity.

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