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.
No takes yet. Share an insight, caveat, or question.
Al-Ahmad et al. (2020) studied this question.