A Numerical Approach for Solving Nonlinear Singularly Perturbed Boundary Value Problem Arising in Control Theory
DOI:
https://doi.org/10.5890/JAND.2021.03.009Abstract
In this paper, a numerical approach based on non-iterative integration method with a small deviating argument for nonlinear singularly perturbed two point boundary value problems is discussed. The technique of quasilinearization is used to linearize nonlinear singular perturbation problem into a set of linear singularly perturbed equations. The continuous problem is replaced by an approximate first order differential equation with a delay argument which is non-iterative and then the application of numerical integration method to achieve a recurrence relationship of three terms. To demonstrate the effectiveness the proposed method are experimented with nonlinear problems.References
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