Picard and Adomian Solutions of RLC Electrical Circuits | ||||
| Nile Journal of Basic Science | ||||
| Article 1, Volume 4, Issue 1, 2024, Page 1-12 PDF (935.83 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/njbs.2024.406812 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
F I. I. Mansy  1; S. R. E. Ibrahim2
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| 1Nile Higher Institute for Engineering and Technology, Mansoura, Egypt. | ||||
| 2Misr Higher Institute for Commerce and Computers, Mansoura, Egypt. | ||||
| Abstract | ||||
| This study focuses on the solution of RLC series circuits. We use three methods to solve them: ADM, PM, and Laplace. The existence and uniqueness of the solution are proved. The convergence of the ADM and PM solutions are discussed. Then, numerical examples are solved to compare the results of the three methods. | ||||
| Keywords | ||||
| RLC circuit; Adomian decomposition method; existence and uniqueness; Picard method; convergence; error estimation. | ||||
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