Modified differential transform scheme for solving systems of first order ordinary differential equations


Authors

S. Al-Ahmad - Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Terengganu, Besut Campus, 22200, Malaysia. I. M. Sulaiman - Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Terengganu, Besut Campus, 22200, Malaysia. M. Mamat - Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Terengganu, Besut Campus, 22200, Malaysia. Puspa Liza Ghazali - Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Terengganu, Besut Campus, 22200, Malaysia.


Abstract

In this paper, a modified differential transform scheme (MDTS) is proposed for solving systems of first order ordinary differential equations. This numerical scheme serves as an alternative approach that is designed based on the differential transform method (DTM), Laplace transform and Pade approximants. The proposed method would be able to overcome the difficulty of solving these types of problems and also, gives a virtuous approximation for the true solution of the problems in a large region. Preliminary results are presented based on some examples which illustrate the validity and applicability of the proposed scheme. Also, all the obtained results corresponded to exact solutions.


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ISRP Style

S. Al-Ahmad, I. M. Sulaiman, M. Mamat, Puspa Liza Ghazali, Modified differential transform scheme for solving systems of first order ordinary differential equations, Journal of Mathematics and Computer Science, 22 (2021), no. 1, 73--84

AMA Style

Al-Ahmad S., Sulaiman I. M., Mamat M., Ghazali Puspa Liza, Modified differential transform scheme for solving systems of first order ordinary differential equations. J Math Comput SCI-JM. (2021); 22(1):73--84

Chicago/Turabian Style

Al-Ahmad, S., Sulaiman, I. M., Mamat, M., Ghazali, Puspa Liza. "Modified differential transform scheme for solving systems of first order ordinary differential equations." Journal of Mathematics and Computer Science, 22, no. 1 (2021): 73--84


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