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

Abstract

Purpose

Aims to solve singular two‐point boundary value problems, linear and non‐linear by using modified and standard decomposition methods, respectively.

Design/methodology/approach

The approximate solution of this problem is calculated in the form of series with easily computable components.

Findings

The accuracy of the presented numerical method was examined in comparison with others and was found to be superior.

Research limitations/implications

The decomposition method provided a reliable technique that required less work when compared with the traditional techniques. The method does not require unjustified assumptions linearisation discretizations or perturbation.

Practical implications

The Adomian decomposition method was found to be very easy to apply to both differential equations, higher‐order boundary value problems and linear or non‐differential systems.

Originality/value

The technique is both innovative and efficient and an original approach for solving singular two‐point boundary value problems.

Citation

Inc, M., Ergüt, M. and Cherruault, Y. (2005), "A different approach for solving singular two‐point boundary value problems", Kybernetes, Vol. 34 No. 7/8, pp. 934-940. https://doi.org/10.1108/03684920510605759