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Taylor's decomposition on four points for solving third-order linear time-varying systems
Authors:Allaberen Ashyralyev  Doghonay Arjmand  Muhammet Koksal
Institution:aDepartment of Mathematics, Fatih University, Istanbul, Turkey;bSchool of Computer Science and Communication, Royal Institute of Technology, Stockholm, Sweden;cDepartment of Electrical and Electronic Engineering, Fatih University, Istanbul, Turkey
Abstract:In the present paper, the use of three-step difference schemes generated by Taylor's decomposition on four points for the numerical solutions of third-order time-varying linear dynamical systems is presented. The method is illustrated for the numerical analysis of an up-converter used in communication systems.
Keywords:Taylor's decomposition on four points  Third-order differential equation  Three-step difference schemes  Approximation order  Periodically time-varying systems
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