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A numerical technique for solving singularly perturbed two-point boundary value problems

  • Pramod Chakravarthy Podila,
  • Rahul Mishra,
  • Higinio Ramos

摘要

In this article, we first convert a second order singularly perturbed boundary value problem (SPBVP) into a pair of initial value problems, which are solved later using exponential time differencing (ETD) Runge–Kutta methods. The stability analysis of the proposed scheme is addressed. Some linear and non-linear problems have been solved to study the applicability of the proposed method.