SOLUTION OF COMPLEX DIFFERENTIAL EQUATIONS
BY USING FOURIER TRANSFORM

Abstract

In this study, complex differential equations are solved by using the Fourier transform. First, we separate the real and imaginary parts of the equation. Thus, from one unknown equation we obtain a system of two unknown equations. We obtain the Fourier transforms of real and imaginary parts of the solutions using the Fourier transform. Finally, we obtain the real and imaginary parts of the solution by using the inverse Fourier transform.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 31
Issue: 1
Year: 2018

DOI: 10.12732/ijam.v31i1.2

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References

  1. [1] A. Boggess, F.J. Narcowich, A First Course in Wavelets with Fourier Analysis, Wiley (2001).
  2. [2] R.N. Bracewell, The Fourier Transform and Its Applications, McGraw Hill (2000).
  3. [3] L.C. Andrews, B.K. Shivamoggi, Integral Transforms for Engineering, SPIE Press (1988).
  4. [4] L. Denbath, D. Bhatta, Integral Transforms and Their Applications, CRC Press Taylor Francis Group Newtork (2014).
  5. [5] M.R. Spiegel, Fourier Analysis, Schaum’s Outline Series, McGraw Hill (1974).
  6. [6] M. Düz, On an application of Laplace transforms, NTMSCI, 5 (2017), 193-198.
  7. [7] M. Düz, Application of Elzaki transform to first order constant coefficients complex equations, Bulletin of International Mathematical Virtual Institute, 7 (2017), 387-393.
  8. [8] M. Düz, Solutions of complex equations with adomian decomposition method, TWMS J. App. Eng. Math., 7 (2017), 66-73.