A comparison of numerical solutions of fourth‐order boundary value problems

DOI10.1108/03684920510605786zbMath1117.65347OpenAlexW1974471102MaRDI QIDQ5695202

Mustafa Inc, Yves Cherruault

Publication date: 11 October 2005

Published in: Kybernetes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/03684920510605786

zbMATH Keywords

collocation methodnumerical resultsAdomian decomposition methodfourth-order boundary value problemslinear and nonlinear problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (3)

A method for solving nonlinear differential equations ⋮ A new algorithm for solving nonlinear boundary value problems ⋮ Adomian decomposition method for solving fragmentation and aggregation population balance equations

Cites Work

• New results for convergence of Adomian's method applied to integral equations
• A reliable technique for solving the wave equation in an infinite one-dimensional medium
• Numerical steady state and Hopf bifurcation analysis on the diffusive Nicholson's blowflies equation
• Approximate solutions to boundary value problems of higher order by the modified decomposition method
• Blow-up for solutions of some linear wave equations with mixed nonlinear boundary conditions
• An algorithm for solving boundary value problems
• Analytic solution of nonlinear boundary-value problems in serveral dimensions by decomposition
• Collocation approximation for fourth-order boundary value problems
• Convergence of Adomian's Method
• Finite-difference methods for the solution of special eighth-order boundary-value problems
• The Modified Adomian Decomposition Method for Solving Linear and Nonlinear Boundary Value Problems of Tenth-order and Twelfth-order
• A new approach to solve a diffusion‐convection problem
• A reliable algorithm for solving boundary value problems for higher-order integro-differentiable equations
• The numerical solution of fifth-order boundary value problems by the decomposition method
• A reliable algorithm for obtaining positive solutions for nonlinear boundary value problems

This page was built for publication: A comparison of numerical solutions of fourth‐order boundary value problems