A reliable algorithm for solving fourth-order boundary value problems

DOI10.1007/BF02832046zbMath1108.65083OpenAlexW2039413652MaRDI QIDQ861470

Shaher Momani, Khaled Moaddy

Publication date: 29 January 2007

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

Full work available at URL: https://doi.org/10.1007/bf02832046

zbMATH Keywords

numerical examplesAdomian decomposition methodnonlinear problemstwo-point boundary conditionslinear problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

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Cites Work

• Unnamed Item
• Iterative solutions for a beam equation with nonlinear boundary conditions of third order
• A review of the decomposition method in applied mathematics
• A reliable modification of Adomian decomposition method
• Solving frontier problems of physics: the decomposition method
• Decomposition methods: A new proof of convergence
• Convergence of Adomian's method applied to differential equations
• New ideas for proving convergence of decomposition methods
• Adomian's polynomials for nonlinear operators
• Nonlinear dynamical systems: On the accuracy of Adomian's decomposition method
• Convergence of Adomian's Method
• Finite Difference Collocation Methods for Nonlinear Two Point Boundary Value Problems
• On the numerical integration of a boundary value problem involving a fourth order linear differential equation
• An O(h⁶) Finite Difference Analogue for the Solution of Some Differential Equations Occurring in Plate Deflection Theory
• Finite difference methods for two-point boundary value problems involving high order differential equations
• The Numerical Solution of Special Fourth-Order Boundary Value Problems by the Modified Decomposition Method