The modified decomposition method for eighth-order boundary value problems

DOI10.1016/j.amc.2006.11.015zbMath1119.65069OpenAlexW2007903643MaRDI QIDQ2372022

Mladen Meštrović

Publication date: 10 July 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.11.015

zbMATH Keywords

algorithmnumerical resultsAdomian decomposition methodeighth-order boundary value problems

Mathematics Subject Classification ID

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

Related Items (11)

Using the iterative reproducing kernel method for solving a class of nonlinear fractional differential equations ⋮ A posteriori analysis: error estimation for the eighth order boundary value problems in reproducing kernel space ⋮ Efficient numerical algorithm for the solution of eight order boundary value problems by Haar wavelet method ⋮ Approximate solutions of differential equations by using the Bernstein polynomials ⋮ Numerical solution of eighth-order boundary value problems in reproducing Kernel space ⋮ Numerical analysis of fractional Volterra integral equations via Bernstein approximation method ⋮ Numerical solutions for the eighth-order initial and boundary value problems using the second kind Chebyshev wavelets ⋮ A numerical method for solving \(n\)th-order boundary-value problems ⋮ On the solutions of nonlinear higher-order boundary value problems by using differential transformation method and Adomian decomposition method ⋮ The existence of symmetric positive solutions of fourth-order elastic beam equations ⋮ Computational and theoretical aspects of Romanovski-Bessel polynomials and their applications in spectral approximations

Cites Work

• Nonic spline solutions of eighth order boundary value problems
• A reliable modification of Adomian decomposition method
• Differential quadrature solutions of eighth-order boundary-value differential equations
• The numerical solution of sixth-order boundary value problems by the modified decomposition method

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