BibTex RIS Cite
Year 2019, Volume: 9 Issue: 3, 563 - 570, 01.09.2019

Abstract

References

  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • Chen C. K. and Ho S. H., (1999), Solving partial differential equations by two-dimensional differential transform method, Appl. Math.and Comput., 106, pp. 171-179.
  • Ayaz F., (2003), On the two-dimensional differential transform method, Appl. Math. and Comput., 143, pp. 361-374.
  • Patil P. and Kolte A., (2015), Solution of Partial Differential Equation by Undetermined Coefficients Method, Intern. Jour. of Engin. and Innova.Techno. (IJEIT), 4(9), pp. 93-95.

SOLUTION OF CONSTANT COEFFIENTS PARTIAL DERIVATIVE EQUATIONS WITH ELZAKI TRANSFORM METHOD

Year 2019, Volume: 9 Issue: 3, 563 - 570, 01.09.2019

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.

References

  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • Chen C. K. and Ho S. H., (1999), Solving partial differential equations by two-dimensional differential transform method, Appl. Math.and Comput., 106, pp. 171-179.
  • Ayaz F., (2003), On the two-dimensional differential transform method, Appl. Math. and Comput., 143, pp. 361-374.
  • Patil P. and Kolte A., (2015), Solution of Partial Differential Equation by Undetermined Coefficients Method, Intern. Jour. of Engin. and Innova.Techno. (IJEIT), 4(9), pp. 93-95.
There are 11 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

M. Düz This is me

T. M. Elzaki This is me

Publication Date September 1, 2019
Published in Issue Year 2019 Volume: 9 Issue: 3

Cite