Research Article

Finite difference method with different high order approximations for solving complex equation

Volume: 5 Number: 1 January 1, 2017
  • Kamal Raslan Raslan *
  • Talaat S. El-danaf
  • Khalid K. Ali
EN

Finite difference method with different high order approximations for solving complex equation

Abstract


Keywords

References

  1. S. M. Hoseini and T. R. Marchant, Solitary wave interaction and evolution for Higher order Hirota equation, Wave Motion. Vol. 44, pp. 92-106, 2006.
  2. W. G. Al.Harbi, Numerical Solution of Hirota Equation, M.S.C., KAU, 2009.
  3. I. Christie, D. Griffiths, A. Mitchell, and J. M. Sanz-Serna, Product Approximation for non-linear problems in the finite element method, IMA J. N. A. Vol. 1, pp. 253- 266, 1981.
  4. J. M. Sanz-Serna and I. Christsie, Petrov- Galerkin methods for nonlinear dispersive waves, J. Comp. Phys. Vol. 39, pp. 94-103, 1981.
  5. R.T. Taha and M. J. Ablowitz, Analytical and numerical aspects of certain Nonlinear evolution equations. IV. Numerical, Korteweg-de Vries equation, J. Comput. Phys. Vol. 55, pp. 231-253, 1984.
  6. R. T. Taha and M. J. Ablowitz, Analytical and numerical aspects of certain Nonlinear evolution equation. IV. Numerical, Modi.ed Korteweg-de Vries equation, J. Comput. Phys. Vol. 77, pp. 540-548, 1988.
  7. S. S. Al.Sairy, A Linearly Implicit schemes for the coupled nonlinear Schrödinger Equation, M. S.C., KAU, 2006.
  8. R. T. Taha and M. J. Ablowitz, Analytical and numerical aspects of certain Nonlinear evolution equation. II. Numerical, nonlinear Schrödinger equation, J. Comput. Phys. Vol. 55, pp. 203-230, 1984.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Kamal Raslan Raslan * This is me
Egypt

Talaat S. El-danaf This is me
Egypt

Khalid K. Ali This is me
Egypt

Publication Date

January 1, 2017

Submission Date

March 31, 2016

Acceptance Date

November 16, 2016

Published in Issue

Year 2017 Volume: 5 Number: 1

APA
Raslan, K. R., El-danaf, T. S., & Ali, K. K. (2017). Finite difference method with different high order approximations for solving complex equation. New Trends in Mathematical Sciences, 5(1), 114-127. https://izlik.org/JA66CS23CC
AMA
1.Raslan KR, El-danaf TS, Ali KK. Finite difference method with different high order approximations for solving complex equation. New Trends in Mathematical Sciences. 2017;5(1):114-127. https://izlik.org/JA66CS23CC
Chicago
Raslan, Kamal Raslan, Talaat S. El-danaf, and Khalid K. Ali. 2017. “Finite Difference Method With Different High Order Approximations for Solving Complex Equation”. New Trends in Mathematical Sciences 5 (1): 114-27. https://izlik.org/JA66CS23CC.
EndNote
Raslan KR, El-danaf TS, Ali KK (January 1, 2017) Finite difference method with different high order approximations for solving complex equation. New Trends in Mathematical Sciences 5 1 114–127.
IEEE
[1]K. R. Raslan, T. S. El-danaf, and K. K. Ali, “Finite difference method with different high order approximations for solving complex equation”, New Trends in Mathematical Sciences, vol. 5, no. 1, pp. 114–127, Jan. 2017, [Online]. Available: https://izlik.org/JA66CS23CC
ISNAD
Raslan, Kamal Raslan - El-danaf, Talaat S. - Ali, Khalid K. “Finite Difference Method With Different High Order Approximations for Solving Complex Equation”. New Trends in Mathematical Sciences 5/1 (January 1, 2017): 114-127. https://izlik.org/JA66CS23CC.
JAMA
1.Raslan KR, El-danaf TS, Ali KK. Finite difference method with different high order approximations for solving complex equation. New Trends in Mathematical Sciences. 2017;5:114–127.
MLA
Raslan, Kamal Raslan, et al. “Finite Difference Method With Different High Order Approximations for Solving Complex Equation”. New Trends in Mathematical Sciences, vol. 5, no. 1, Jan. 2017, pp. 114-27, https://izlik.org/JA66CS23CC.
Vancouver
1.Kamal Raslan Raslan, Talaat S. El-danaf, Khalid K. Ali. Finite difference method with different high order approximations for solving complex equation. New Trends in Mathematical Sciences [Internet]. 2017 Jan. 1;5(1):114-27. Available from: https://izlik.org/JA66CS23CC