A different approach for solving singular two‐point boundary value problems

DOI10.1108/03684920510605759zbMath1117.65348OpenAlexW1973332231MaRDI QIDQ5695199

Mustafa Inc, Mahmut Ergüt, Yves Cherruault

Publication date: 11 October 2005

Published in: Kybernetes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/03684920510605759

zbMATH Keywords

comparison of methodsnumerical examplesAdomian decomposition methodsingular two-point boundary value problems

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (11)

Haar wavelet collocation method for Lane-Emden equations with Dirichlet, Neumann and Neumann-Robin boundary conditions ⋮ An efficient numerical technique for the solution of nonlinear singular boundary value problems ⋮ An efficient method for solving the generalized Thomas-Fermi and Lane-Emden-Fowler type equations with nonlocal integral type boundary conditions ⋮ Solving a class of singular two-point boundary value problems using new modified decomposition method ⋮ Numerical solution of nonlinear singular boundary value problems ⋮ Solving coupled Lane-Emden equations by Green's function and decomposition technique ⋮ An efficient wavelet based spectral method to singular boundary value problems ⋮ Numerical approximation of higher order singular boundary value problem by using Haar functions ⋮ A linearisation method for non-linear singular boundary value problems ⋮ A collection of computational techniques for solving singular boundary-value problems ⋮ Numerical algorithm for solution of the system of Emden-Fowler type equations

Cites Work

• A fourth order method for a singular two-point boundary value problem
• Quintic spline solutions of boundary value problems
• New results for convergence of Adomian's method applied to integral equations
• A reliable modification of Adomian decomposition method
• A collocation method for solving a class of singular nonlinear two-point boundary value problems
• 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
• A three-point finite difference method for a class of singular two-point boundary value problems
• Convergence of Adomian's Method
• A new spline method for singular two-point boundary value problems
• The Modified Adomian Decomposition Method for Solving Linear and Nonlinear Boundary Value Problems of Tenth-order and Twelfth-order
• A new algorithm for solving differential equations of Lane-Emden type
• 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

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