Numerical method for solving the nonlinear four-point boundary value problems

DOI10.1016/j.cnsns.2010.02.013zbMath1222.65072OpenAlexW2063933735MaRDI QIDQ720300

Jinnan Lin, Ying-Zhen Lin

Publication date: 13 October 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.02.013

zbMATH Keywords

numerical methodnonlinear differential equationsfour-point boundary value problemsnew reproducing kernel space

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (12)

An efficient computational method for a class of singularly perturbed delay parabolic partial differential equation ⋮ Numerical solution of nonlinear three-point boundary value problem on the positive half-line ⋮ A computationally efficient iterative scheme for solving fourth-order boundary value problems ⋮ An iterative reproducing kernel method in Hilbert space for the multi-point boundary value problems ⋮ Approximate solutions to three-point boundary value problems with two-space integral condition for parabolic equations ⋮ A fourth-order compact finite difference method for nonlinear higher-order multi-point boundary value problems ⋮ A numerical algorithm for solving a four-point nonlinear fractional integro-differential equations ⋮ Numerical algorithm for the third-order partial differential equation with three-point boundary value problem ⋮ A reaction-diffusion model for competing languages ⋮ A wavelet integral collocation method for nonlinear boundary value problems in physics ⋮ A hunter-gatherer–farmer population model: Lie symmetries, exact solutions and their interpretation ⋮ CONVERGENCE ORDER OF THE REPRODUCING KERNEL METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS

Cites Work

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• Iterative solutions for a beam equation with nonlinear boundary conditions of third order
• Five-point boundary value problems for third-order differential equations by solution matching
• Successive iteration and positive solutions for a second-order multi-point boundary value problem on a half-line
• Positive solutions of fourth-order multi-point boundary value problems with bending term
• Existence of solutions for a higher order multi-point boundary value problem
• A new reproducing kernel Hilbert space method for solving nonlinear fourth-order boundary value problems
• Finite difference methods for two-point boundary value problems involving high order differential equations

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