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Volume 7, Issue 3
A Comparison of Numerical Solutions of Eleventh Order Twopoint Boundary Value Problems

Amjad Hussain , Syed Tauseef Mohyud -Din and Ahmet Yildirim

J. Info. Comput. Sci. , 7 (2012), pp. 181-189.

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  • Abstract
This study considers an application of differential transform method (DTM) to solving linear and nonlinear eleventh order two-point boundary value problems discussed in [S.S. Siddiqi, G. Akram and I. Zulfiqar. Solution of eleventh order boundary value problems using variational iteration technique. European Journal of Scientific Research. 2009, 30: 505-525]. It is shown that the proposed method yields excellent approximations at minimum computational cost, whereas, variational iteration method is computationally expensive for such problems. Numerical results explicitly reveal the complete reliability and efficiency of the proposed algorithm.
  • Keywords

Eleventh order boundary value problems, Differential Transform Method, Comparison.

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COPYRIGHT: © Global Science Press

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@Article{JICS-7-181, author = {Amjad Hussain , Syed Tauseef Mohyud -Din and Ahmet Yildirim}, title = {A Comparison of Numerical Solutions of Eleventh Order Twopoint Boundary Value Problems}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {7}, number = {3}, pages = {181--189}, abstract = { This study considers an application of differential transform method (DTM) to solving linear and nonlinear eleventh order two-point boundary value problems discussed in [S.S. Siddiqi, G. Akram and I. Zulfiqar. Solution of eleventh order boundary value problems using variational iteration technique. European Journal of Scientific Research. 2009, 30: 505-525]. It is shown that the proposed method yields excellent approximations at minimum computational cost, whereas, variational iteration method is computationally expensive for such problems. Numerical results explicitly reveal the complete reliability and efficiency of the proposed algorithm. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22641.html} }
TY - JOUR T1 - A Comparison of Numerical Solutions of Eleventh Order Twopoint Boundary Value Problems AU - Amjad Hussain , Syed Tauseef Mohyud -Din and Ahmet Yildirim JO - Journal of Information and Computing Science VL - 3 SP - 181 EP - 189 PY - 2024 DA - 2024/01 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22641.html KW - Eleventh order boundary value problems, Differential Transform Method, Comparison. AB - This study considers an application of differential transform method (DTM) to solving linear and nonlinear eleventh order two-point boundary value problems discussed in [S.S. Siddiqi, G. Akram and I. Zulfiqar. Solution of eleventh order boundary value problems using variational iteration technique. European Journal of Scientific Research. 2009, 30: 505-525]. It is shown that the proposed method yields excellent approximations at minimum computational cost, whereas, variational iteration method is computationally expensive for such problems. Numerical results explicitly reveal the complete reliability and efficiency of the proposed algorithm.
Amjad Hussain , Syed Tauseef Mohyud -Din and Ahmet Yildirim. (2024). A Comparison of Numerical Solutions of Eleventh Order Twopoint Boundary Value Problems. Journal of Information and Computing Science. 7 (3). 181-189. doi:
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