An Operator-Difference Method for Telegraph Equations Arising in Transmission Lines | Zendy

Mehmet Emir Köksal | Zendy

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An Operator-Difference Method for Telegraph Equations Arising in Transmission Lines

Author(s) -

Mehmet Emir Köksal

Publication year - 2011

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2011/561015

Subject(s) - mathematics , operator (biology) , telegrapher's equations , mathematical analysis , stability (learning theory) , boundary value problem , term (time) , transmission line , computer science , physics , telecommunications , biochemistry , chemistry , repressor , quantum mechanics , machine learning , transcription factor , gene

A second-order linear hyperbolic equation with time-derivative term subject to appropriate initial and Dirichlet boundary conditions is considered. Second-order unconditionallyabsolutely stable difference scheme in (Ashyralyev et al. 2011) generated by integer powers of space operator is modified for the equation. This difference scheme is unconditionally absolutelystable. Stability estimates for the solution of the difference scheme are presented. Various numerical examples are tested for showing the usefulness of the difference scheme. Numerical solutions of the examples are provided using modified unconditionally absolutely stable second-order operator-difference scheme. Finally, the obtained results are discussed by comparing with other existing numerical solutions. The modified difference scheme is applied to analyze a real engineering problem related with a lossy power transmission line

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