An efficient computational method for second order boundary value problems of nonlinear differential equations

DOI10.1016/j.amc.2007.04.029zbMath1193.65134OpenAlexW2064756069MaRDI QIDQ990681

Ming-Gen Cui, Ying-Zhen Lin, YongFang Zhou

Publication date: 1 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.04.029

zbMATH Keywords

existenceboundary value problemsnonlinear differential equationthe reproducing kernel space

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (13)

New reproducing kernel functions ⋮ Constructing two powerful methods to solve the Thomas-Fermi equation ⋮ Explicit solution of telegraph equation based on reproducing kernel method ⋮ A novel method for solving KdV equation based on reproducing kernel Hilbert space method ⋮ Approximate solutions for MHD squeezing fluid flow by a novel method ⋮ Numerical solution of seventh-order boundary value problems by a novel method ⋮ Reproducing Kernel method for the solution of nonlinear hyperbolic telegraph equation with an integral condition ⋮ The solution of nonlinear fourth-order differential equation with integral boundary conditions ⋮ Solving the generalized regularized long wave equation on the basis of a reproducing kernel space ⋮ Solving the forced Duffing equation with integral boundary conditions in the reproducing kernel space ⋮ Reproducing kernel Hilbert space method for solving Bratu's problem ⋮ Solving delay differential equations by an accurate method with interpolation ⋮ New algorithm for solving a nonlinear hyperbolic telegraph equation with an integral condition

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A family of variable mesh methods for the estimates of (d\(u\)/d\(r\)) and solution of non-linear two point boundary value problems with singularity
• Variable mesh methods for the numerical solution of two-point singular perturbation problems
• Solving spline-collocation approximations to nonlinear two-point boundary-value problems by a homotopy method
• The exact solution for solving a class nonlinear operator equations in the reproducing kernel space.
• A nonlinear shooting method for two-point boundary value problems
• Three point discretization of order four and six for (du:dx) of the solution of non-linear singular two point boundary value problem
• A Sixth-order Tridiagonal Finite Difference Method for General Non-linear Two-point Boundary Value Problems
• Computational Solution of Linear Two-Point Boundary Value Problems via Orthonormalization
• A Fourth-order Tridiagonal Finite Difference Method for General Non-linear Two-point Boundary Value Problems with Mixed Boundary Conditions
• Fast iterative methods for symmetric sinc-Galerkin systems

This page was built for publication: An efficient computational method for second order boundary value problems of nonlinear differential equations