Perturbation-Iteration Method for Solving Differential-Difference Equations Having Boundary Layer

Authors

  • Raghvendra Pratap Singh Department of Mathematics, National Institute of Technology, Warangal 506004
  • Y. N. Reddy Department of Mathematics, National Institute of Technology, Warangal 506004

DOI:

https://doi.org/10.26713/cma.v11i4.1431

Keywords:

Differential-difference equations, Boundary layer, Perturbation iteration method

Abstract

In this paper, a perturbation iteration method is described for solving differential-difference equations having boundary layer. Firstly, the given differential-difference equation having boundary layer is converted into a singularly perturbed ordinary differential equation using Taylor's transformation. Then perturbation iteration method applied to solve the resulting singularly perturbed ordinary differential equation. To demonstrate the applicability of this method, three model examples are solved. It is observed that the perturbation iteration method produces very good approximation to the exact solution.

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References

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Published

31-12-2020
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How to Cite

Singh, R. P., & Reddy, Y. N. (2020). Perturbation-Iteration Method for Solving Differential-Difference Equations Having Boundary Layer. Communications in Mathematics and Applications, 11(4), 617–633. https://doi.org/10.26713/cma.v11i4.1431

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Research Article