Numerical Solution of Singularly Perturbed Differential-Difference Equations using Multiple Fitting Factors

Authors

  • M. Adilaxmi Department of Mathematics, National Institute of Technology, Warangal
  • D. Bhargavi Department of Mathematics, National Institute of Technology, Warangal
  • K. Phaneendra epartment of Mathematics, University College of Engineering, Osmania University, Hyderabad

DOI:

https://doi.org/10.26713/cma.v10i4.1129

Keywords:

Singularly perturbed differential-difference equations, Boundary Layer, Fitting factor

Abstract

In this paper, a numerical scheme is proposed to solve singularly perturbed differentialdifference equations with boundary layer behaviour using two fitting factor inserted at convective and diffusion terms. The singularly perturbed differential difference equation is replaced by an equivalent two point singularly perturbation problem. Then to handle the boundary layer, a two parameter fitted scheme is derived and it is applied to get the accurate solution. Model examples are solved using this approach and numerical results along with graphical representation are shown to support the method.

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Published

31-12-2019
CITATION

How to Cite

Adilaxmi, M., Bhargavi, D., & Phaneendra, K. (2019). Numerical Solution of Singularly Perturbed Differential-Difference Equations using Multiple Fitting Factors. Communications in Mathematics and Applications, 10(4), 681–691. https://doi.org/10.26713/cma.v10i4.1129

Issue

Vol. 10 No. 4 (2019)

Section

Research Article

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