### An approach for solving singular two point boundary value problems: analytical and numerical treatment

#### Abstract

The numerical treatment of two point singular boundary value problems has always been a difficult and challenging task due to the singularity behaviour that occurs at a point. Various efficient numerical methods have been proposed to deal with such boundary value problems. We present a new efficient modification of the Adomian decomposition method for solving singular boundary value problems, both linear and nonlinear. Numerical examples illustrate the efficiency and accuracy of the proposed method.

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#### Keywords

Adomian decomposition method; singular two-point boundary value problems

DOI: http://dx.doi.org/10.21914/anziamj.v53i0.4582

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