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Year 2020, Volume: 8 Issue: 2, 157 - 164, 15.10.2020

Murat Düz

https://doi.org/10.36753/mathenot.649490

Abstract

References

  • [1] Andrews, L.C. and Shivamoggi, B.K. Integral transforms for engineering. SPIE Press, 1988.
  • [2] Bers, L. Theory of pseudo-analytic functions. Institute for Mathematics and Mechanics, New York, 1953.
  • [3] Boggess, A. and Narcowıch, F.J., A first course in wavelets with Fourier analysis. Prentice Hall, New Jersey,2001.
  • [4] Bracewell, R.N., The Fourier transform and its applications. McGraw-HillBookCampany, Boston, 2000.
  • [5] Düz, M., Application of Elzaki transform to first order constant coefficients complex equations. Bulletin of theInternational Mathematical Virtual Institute, 7 (2017), 387-393.
  • [6] Düz, M., On an application of Laplace transforms, NTMSCII, 5 (2017), no.2, 193-198.
  • [7] Düz, M., Solutions of complex equations with Adomian decomposition method. TWMS Journal of Appliedand Engineering Mathematics, 7 (2017), no.1, 66-73.
  • [8] Düz, M., A special solution of constant coefficients partial derivative equations with Fourier transform method.Advanced Mathematical Models & Applications, 3 (2018), no.1, 85-93.
  • [9] Düz, M., Solution of complex differential equations by using Fourier transform. International Journal ofApplied Mathematics, 31 (2018), no.1, 23-32.
  • [10] Gülsu, M. and Sezer, M., Approximate solution to linear complex differential equation by a new approximateapproach. Applied Mathematics and Computation, 185 (2017), 636-645.
  • [11] Sezer, M., Tanay, B. and Gülsu, M., A Polynomial approach for solving high-order linear complex differentialequations with variable coefficients in disc. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 25 (2009),no.1-2, 374-389.
  • [12] Vekua, I.N., Verallgemeinerte analytische Funktionen. Akademie Verlag, Berlin, 1959.

Solution of n.th Order Constant Coefficients Complex Partial Derivative Equations by Using Fourier Transform Method

Year 2020, Volume: 8 Issue: 2, 157 - 164, 15.10.2020

Murat Düz

https://doi.org/10.36753/mathenot.649490

Abstract

This investigation mainly intends to apply Fourier Transform method for general n.th order constant coefficients complex partial differential equations. Firstly, equality of complex derivatives have been obtained from kind real derivatives. Later Fourier Transforms have been used for obtained equation. Finally a formula has been given for a special solution of these kind equations. Also, examples are given to display the validity of the present method.

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Keywords

Complex equation Fourier Transform Special Solution

References

  • [1] Andrews, L.C. and Shivamoggi, B.K. Integral transforms for engineering. SPIE Press, 1988.
  • [2] Bers, L. Theory of pseudo-analytic functions. Institute for Mathematics and Mechanics, New York, 1953.
  • [3] Boggess, A. and Narcowıch, F.J., A first course in wavelets with Fourier analysis. Prentice Hall, New Jersey,2001.
  • [4] Bracewell, R.N., The Fourier transform and its applications. McGraw-HillBookCampany, Boston, 2000.
  • [5] Düz, M., Application of Elzaki transform to first order constant coefficients complex equations. Bulletin of theInternational Mathematical Virtual Institute, 7 (2017), 387-393.
  • [6] Düz, M., On an application of Laplace transforms, NTMSCII, 5 (2017), no.2, 193-198.
  • [7] Düz, M., Solutions of complex equations with Adomian decomposition method. TWMS Journal of Appliedand Engineering Mathematics, 7 (2017), no.1, 66-73.
  • [8] Düz, M., A special solution of constant coefficients partial derivative equations with Fourier transform method.Advanced Mathematical Models & Applications, 3 (2018), no.1, 85-93.
  • [9] Düz, M., Solution of complex differential equations by using Fourier transform. International Journal ofApplied Mathematics, 31 (2018), no.1, 23-32.
  • [10] Gülsu, M. and Sezer, M., Approximate solution to linear complex differential equation by a new approximateapproach. Applied Mathematics and Computation, 185 (2017), 636-645.
  • [11] Sezer, M., Tanay, B. and Gülsu, M., A Polynomial approach for solving high-order linear complex differentialequations with variable coefficients in disc. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 25 (2009),no.1-2, 374-389.
  • [12] Vekua, I.N., Verallgemeinerte analytische Funktionen. Akademie Verlag, Berlin, 1959.
There are 12 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Murat Düz 0000-0003-2387-4045

Publication Date October 15, 2020
Submission Date November 21, 2019
Acceptance Date September 20, 2020
Published in Issue Year 2020 Volume: 8 Issue: 2

Cite

APA Düz, M. (2020). Solution of n.th Order Constant Coefficients Complex Partial Derivative Equations by Using Fourier Transform Method. Mathematical Sciences and Applications E-Notes, 8(2), 157-164. https://doi.org/10.36753/mathenot.649490
AMA Düz M. Solution of n.th Order Constant Coefficients Complex Partial Derivative Equations by Using Fourier Transform Method. Math. Sci. Appl. E-Notes. October 2020;8(2):157-164. doi:10.36753/mathenot.649490
Chicago Düz, Murat. “Solution of n.Th Order Constant Coefficients Complex Partial Derivative Equations by Using Fourier Transform Method”. Mathematical Sciences and Applications E-Notes 8, no. 2 (October 2020): 157-64. https://doi.org/10.36753/mathenot.649490.
EndNote Düz M (October 1, 2020) Solution of n.th Order Constant Coefficients Complex Partial Derivative Equations by Using Fourier Transform Method. Mathematical Sciences and Applications E-Notes 8 2 157–164.
IEEE M. Düz, “Solution of n.th Order Constant Coefficients Complex Partial Derivative Equations by Using Fourier Transform Method”, Math. Sci. Appl. E-Notes, vol. 8, no. 2, pp. 157–164, 2020, doi: 10.36753/mathenot.649490.
ISNAD Düz, Murat. “Solution of n.Th Order Constant Coefficients Complex Partial Derivative Equations by Using Fourier Transform Method”. Mathematical Sciences and Applications E-Notes 8/2 (October 2020), 157-164. https://doi.org/10.36753/mathenot.649490.
JAMA Düz M. Solution of n.th Order Constant Coefficients Complex Partial Derivative Equations by Using Fourier Transform Method. Math. Sci. Appl. E-Notes. 2020;8:157–164.
MLA Düz, Murat. “Solution of n.Th Order Constant Coefficients Complex Partial Derivative Equations by Using Fourier Transform Method”. Mathematical Sciences and Applications E-Notes, vol. 8, no. 2, 2020, pp. 157-64, doi:10.36753/mathenot.649490.
Vancouver Düz M. Solution of n.th Order Constant Coefficients Complex Partial Derivative Equations by Using Fourier Transform Method. Math. Sci. Appl. E-Notes. 2020;8(2):157-64.
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