Initial-value technique for a class of nonlinear singular perturbation problems
Journal of Optimization Theory and Applications
Initial-value methods for second-order singularly perturbed boundary-value problems
Journal of Optimization Theory and Applications
Singular perturbation methods for ordinary differential equations
Singular perturbation methods for ordinary differential equations
Parallel initial-value algorithms for singularly perturbed boundary-value problems
Journal of Optimization Theory and Applications
Journal of Optimization Theory and Applications
Journal of Optimization Theory and Applications
Applied Mathematics and Computation
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In this paper some numerical methods are presented for singularly perturbed two-point boundary value problems for second order ordinary differential equations with two small parameters multiplying the derivatives. These methods are distinguished by the fact that, initial value problems and/or terminal value problems are constructed/ deduced from the given boundary value problem and then solved by a fitted operator method. Further error estimates are derived. The methods suggested are simple to use and easy to implement. The important aspect is that some of the methods suggested are well suited for parallel computing. Examples are provided to illustrate the methods.