Application of Differential Transformation Method for Solving Eighth-order Boundary Value Problems

 

In this study, we solved linear and nonlinear eighth-order boundary value problems using the Differential Transformation Method. After that, the DTM error is determined, and the results are compared to those of other approaches like the modified implementation of the variational iteration method (MVAM), the homotopy perturbation method (HPM), and the modified Adomian decomposition method (MADM).

We compared the mistakes of each approach to the exact solutions. Many numerical examples were offered to demonstrate the precision and efficiency of the current method. The DTM showed to be more dependable than the data produced by other approaches.

Author (S) Details

Dr. Che Haziqah Che Hussin
Preparatory Centre of Science and Technology, Universiti Malaysia Sabah, Jalan UMS, 88400 Kota Kinabalu, Sabah, Malaysia.

Arif Mandangan
Faculty of Science and Natural Resources, Universiti Malaysia Sabah, Jalan UMS, 88400 Kota Kinabalu, Sabah, Malaysia.

View Book :- https://stm.bookpi.org/AAER-V15/article/view/1746

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