Application of Differential Transform Method with Adomian Polynomial for solving RLC Circuits Problems and Higher Order differential equations | ||||
| Engineering Research Journal (Shoubra) | ||||
| Volume 51, Issue 4, October 2022, Page 89-95 PDF (840.55 K) | ||||
| Document Type: Research articles | ||||
| DOI: 10.21608/erjsh.2022.146768.1052 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
R.A. Ibrahim1; Mohamed Saad Abdelaziz  2
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| 1Department of Basic Science, Faculty of Engineering, Shoubra, Egypt, Email: reda.mohamed@feng.bu.edu.eg | ||||
| 2Departments of Basic Science, Shoubra faculty of Engineering, Benha university | ||||
| Abstract | ||||
| 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. Also, this method is useful in both initial and boundary value problems.This method introduces a semi-analytic solution for differential equations, in polynomial form, it differs from the regular high order Taylor series technique, which necessitates the symbolic calculation of the necessary derivatives for the data functions. Comparison is made between numerical solutions obtained using DTM and other numerical methods, which trusses up the efficiency of the DTM method. Some illustrative examples are presented with some RLC circuit problems to show the simplicity and efficiency of the used method. All calculations are made with the help of computer algebra software Mathematica 11.2. | ||||
| Keywords | ||||
| Differential transform method; Higher order; Initial-boundary value problems; RLC circuit problems; Adomian polynomial | ||||
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