Fourth Order Compact Method for One Dimensional Inhomogeneous Telegraph Equation of O (h4, k3)

Authors

  • Zain Ulabadin Zafar
  • M. Rafiq
  • M.O. Ahmed
  • Anjum Pevaiz

Abstract

Many boundary value problems that arise in real life situation defy analytical solutions; hence numerical techniques are the best source for finding the solution of such equations. In this study Finite difference Method (FDM) and Fourth Order Compact Method (FOCM) are presented for the solutions of well known one dimensional Inhomogeneous Telegraph equation and then its validity and applicability is checked through applications. The results obtained are compared with the exact solutions for these applications. We used Fortran 90 for the calculations of the numerical results and Mat lab for the graphical comparison.

References

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Published

2016-06-22

Issue

Section

Polymer Engineering and Chemical Engineering, Materials Engineering, Physics, Chemistry, Mathematics