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Dr. Reda Abd-El-Kader Mohamed Ibrahim :: Publications: |
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| Title: | Application of Differential Transform Method with Adomian Polynomial for solving RLC Circuits Problems and Higher Order differential equations |
| Authors: | Reda .A. Ibrahim, M. Saad |
| Year: | 2022 |
| Keywords: | Differential transform method, Higher order, Initial-boundary value problems, RLC circuit problems, Adomian polynomial |
| Journal: | ENGINEERING RESEARCH JOURNAL (ERJ) |
| Volume: | 51 |
| Issue: | 4 |
| Pages: | 89-95 |
| Publisher: | faculty of engineering shoubra |
| Local/International: | Local |
| Paper Link: | |
| Full paper | Reda Abd-El-Kader Mohamed Ibrahim _R1_ DTM (Reda +M.Saad) ERJSH_Volume 51_Issue 4_Pages 89-95.pdf |
| Supplementary materials | Not Available |
| Abstract: |
The differential transform method (DTM) for solving linear and nonlinear higher order differential equations especially which arising in the field of electric circuit problems is used. In almost cases, DTM gives the series of solutions which can be easily converted to exact ones. In nonlinear problems it is useful to use the Adomian polynomial to overheads the nonlinear terms. Some illustrative examples are presented with some RLC circuit problems to show the simplicity and accuracy of the used method compared with other numerical methods. All calculations are made with the help of computer algebra software Mathematica 11.2. |
