Modified Differential Transform Method for Singular Lane-Emden Equations in Integer and Fractional Order

Volume: 5 Number: 1 June 1, 2015
  • H. R. Marasi
  • N. Sharifi
  • H. Piri
EN

Modified Differential Transform Method for Singular Lane-Emden Equations in Integer and Fractional Order

Abstract

In the present work the modiŞed differential transform method, incorporating the Adomian polynomials into the differential transform method DTM , is used tosolve the nonlinear and singular Lane-Emden equations in integer and fractional order.Numerical examples with different types are solved. The results show that this methodis very effective and simple

Keywords

References

  1. Agarwal, R. P., Regan, D. O. and Lakshmikanthamr, V., (2001), Quadratic forms and nonlinear non- resonant singular second order boundary value problems of limit circle type, Zeitschrift fur Analysis und ihre Anwendungen, 20, pp. 727-737.
  2. Agarwal, R. P. and Regan, D. O., (2001), Existence theory for single and multiple solutions to singular positone boundary value problems, J. Diff. Equ., 175(2), pp. 393-414.
  3. Lane, J. H., (1870), On the theoretical temperature of the sun under the hypothesis of a gaseous mass maintaining its volume by its internal heat and depending on the laws of gases known to terrestrial experiment, The American Journal of Science and Arts, 50, pp. 57-74.
  4. Emden, R., (1907), Gaskugeln, Teubner, Leipzig and Berlin.
  5. Marasi, H. R. and Nikbakht, M., (2011), Adomian decompositiom method for boundary value prob- lems, Aus. J. Basic. Appl. Sci., 5, pp. 2106-2111.
  6. Adomian, G., (1994), Solving frontier problems of physics: The decomposition method, Kluwer Aca- demic, Dordrecht.
  7. Marasi, H.R. and Karimi, S., (2014), Convergence of variational iteration method for solving fractional Klein-Gordon equation, J. Math. Comp. Sci., 4, pp. 257-266.
  8. Assas, L. M. B., (2008), Variational iteration method for solving coupled-KdV equations, Chaos Solitons Fractals., 38(4), pp. 1225-1228.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

H. R. Marasi This is me

N. Sharifi This is me

H. Piri This is me

Publication Date

June 1, 2015

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2015 Volume: 5 Number: 1

APA
Marasi, H. R., Sharifi, N., & Piri, H. (2015). Modified Differential Transform Method for Singular Lane-Emden Equations in Integer and Fractional Order. TWMS Journal of Applied and Engineering Mathematics, 5(1), 124-131. https://izlik.org/JA56JD92KU
AMA
1.Marasi HR, Sharifi N, Piri H. Modified Differential Transform Method for Singular Lane-Emden Equations in Integer and Fractional Order. JAEM. 2015;5(1):124-131. https://izlik.org/JA56JD92KU
Chicago
Marasi, H. R., N. Sharifi, and H. Piri. 2015. “Modified Differential Transform Method for Singular Lane-Emden Equations in Integer and Fractional Order”. TWMS Journal of Applied and Engineering Mathematics 5 (1): 124-31. https://izlik.org/JA56JD92KU.
EndNote
Marasi HR, Sharifi N, Piri H (June 1, 2015) Modified Differential Transform Method for Singular Lane-Emden Equations in Integer and Fractional Order. TWMS Journal of Applied and Engineering Mathematics 5 1 124–131.
IEEE
[1]H. R. Marasi, N. Sharifi, and H. Piri, “Modified Differential Transform Method for Singular Lane-Emden Equations in Integer and Fractional Order”, JAEM, vol. 5, no. 1, pp. 124–131, June 2015, [Online]. Available: https://izlik.org/JA56JD92KU
ISNAD
Marasi, H. R. - Sharifi, N. - Piri, H. “Modified Differential Transform Method for Singular Lane-Emden Equations in Integer and Fractional Order”. TWMS Journal of Applied and Engineering Mathematics 5/1 (June 1, 2015): 124-131. https://izlik.org/JA56JD92KU.
JAMA
1.Marasi HR, Sharifi N, Piri H. Modified Differential Transform Method for Singular Lane-Emden Equations in Integer and Fractional Order. JAEM. 2015;5:124–131.
MLA
Marasi, H. R., et al. “Modified Differential Transform Method for Singular Lane-Emden Equations in Integer and Fractional Order”. TWMS Journal of Applied and Engineering Mathematics, vol. 5, no. 1, June 2015, pp. 124-31, https://izlik.org/JA56JD92KU.
Vancouver
1.H. R. Marasi, N. Sharifi, H. Piri. Modified Differential Transform Method for Singular Lane-Emden Equations in Integer and Fractional Order. JAEM [Internet]. 2015 Jun. 1;5(1):124-31. Available from: https://izlik.org/JA56JD92KU