SOLUTION OF CONSTANT COEFFIENTS PARTIAL DERIVATIVE EQUATIONS WITH ELZAKI TRANSFORM METHOD

Volume: 9 Number: 3 September 1, 2019
  • M. Düz
  • T. M. Elzaki
EN

SOLUTION OF CONSTANT COEFFIENTS PARTIAL DERIVATIVE EQUATIONS WITH ELZAKI TRANSFORM METHOD

Abstract

In this study, we apply Elzaki Transform method, which is the modi ed version of Laplace and Sumudu transforms, for general n.th order constant coecients partial diferential equations. With this method we can solve all the equations that can be solved by the method of undeterminated coecients.That is, this method is an alternative to the undetermined coecients method.

Keywords

References

  1. Elzaki, T. M., Elzaki S. M. and Eman M. A. H., (2012), Elzaki and Sumudu Transforms for Solving Some Differential Equations, Glob. Jour. of Pure and Appl. Math., 8(2), pp. 167-173.
  2. Elzaki, T. M. and Elzaki S. M., (2011), Application of New Transform Elzaki Transform´e to Partial Differential Equations, Glob. Jour. of Pure and Appl.Math., 7(1), pp. 65-70.
  3. Elzaki, T. M. and Elzaki S. M., (2011), On the Elzaki Transform and Higher Order Ordinary Differ- ential Equations, Adv. in Theor. and Appl. Math., 6(1), pp. 107-113.
  4. Elzaki, T. M. and Eman M. A. H., (2012), Homotopy Perturbation and Elzaki Transform for Solving Nonlinear Partial Differential Equations, Math. The. and Model., 2(3), pp. 33-42.
  5. Elzaki, T. M., (2012), Solution of Nonlinear Differential Equations Using Mixture of Elzaki Transform and Differential Transform Method, Inter. Math. Forum, 7(13), pp. 631-638.
  6. Elzaki, T. M. and Elzaki S. M., (2011), Solution of Integro-Differential Equations by Using Elzaki Transform, Glob. Jour. of Pure and Appl. Math., 3(1), pp. 1-11.
  7. Bildik N., Konuralp A., Orak¸cı B. F. and K¨u¸c¨ukarslan S., (2006), Solution of different type of the partial differential equation by differential transform method and Adomian’s decomposition method, Appl. Math. and Comput., 172(1), pp. 551–567.
  8. Shehata M. M., (2015), A Study of Some Nonlinear Partial Differential Equations by Using Adomian Decomposition Method and Variational Iteration Method, American Jour. of Comput. Math., 5, pp. 195-203.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

M. Düz This is me

T. M. Elzaki This is me

Publication Date

September 1, 2019

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2019 Volume: 9 Number: 3

APA
Düz, M., & Elzaki, T. M. (2019). SOLUTION OF CONSTANT COEFFIENTS PARTIAL DERIVATIVE EQUATIONS WITH ELZAKI TRANSFORM METHOD. TWMS Journal of Applied and Engineering Mathematics, 9(3), 563-570. https://izlik.org/JA29UW39CN
AMA
1.Düz M, Elzaki TM. SOLUTION OF CONSTANT COEFFIENTS PARTIAL DERIVATIVE EQUATIONS WITH ELZAKI TRANSFORM METHOD. JAEM. 2019;9(3):563-570. https://izlik.org/JA29UW39CN
Chicago
Düz, M., and T. M. Elzaki. 2019. “SOLUTION OF CONSTANT COEFFIENTS PARTIAL DERIVATIVE EQUATIONS WITH ELZAKI TRANSFORM METHOD”. TWMS Journal of Applied and Engineering Mathematics 9 (3): 563-70. https://izlik.org/JA29UW39CN.
EndNote
Düz M, Elzaki TM (September 1, 2019) SOLUTION OF CONSTANT COEFFIENTS PARTIAL DERIVATIVE EQUATIONS WITH ELZAKI TRANSFORM METHOD. TWMS Journal of Applied and Engineering Mathematics 9 3 563–570.
IEEE
[1]M. Düz and T. M. Elzaki, “SOLUTION OF CONSTANT COEFFIENTS PARTIAL DERIVATIVE EQUATIONS WITH ELZAKI TRANSFORM METHOD”, JAEM, vol. 9, no. 3, pp. 563–570, Sept. 2019, [Online]. Available: https://izlik.org/JA29UW39CN
ISNAD
Düz, M. - Elzaki, T. M. “SOLUTION OF CONSTANT COEFFIENTS PARTIAL DERIVATIVE EQUATIONS WITH ELZAKI TRANSFORM METHOD”. TWMS Journal of Applied and Engineering Mathematics 9/3 (September 1, 2019): 563-570. https://izlik.org/JA29UW39CN.
JAMA
1.Düz M, Elzaki TM. SOLUTION OF CONSTANT COEFFIENTS PARTIAL DERIVATIVE EQUATIONS WITH ELZAKI TRANSFORM METHOD. JAEM. 2019;9:563–570.
MLA
Düz, M., and T. M. Elzaki. “SOLUTION OF CONSTANT COEFFIENTS PARTIAL DERIVATIVE EQUATIONS WITH ELZAKI TRANSFORM METHOD”. TWMS Journal of Applied and Engineering Mathematics, vol. 9, no. 3, Sept. 2019, pp. 563-70, https://izlik.org/JA29UW39CN.
Vancouver
1.M. Düz, T. M. Elzaki. SOLUTION OF CONSTANT COEFFIENTS PARTIAL DERIVATIVE EQUATIONS WITH ELZAKI TRANSFORM METHOD. JAEM [Internet]. 2019 Sep. 1;9(3):563-70. Available from: https://izlik.org/JA29UW39CN