Use of Quantum Differential Equations in Sonic Processes
Emerging as a new field, quantum computation has reinvented the fundamentals of Computer Science and knowledge theory in a manner consistent with quantum physics. The fact that quantum computation has superior features and new events than classical computation provides benefits in proving mathematic...
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| Published in | Applied mathematics and nonlinear sciences Vol. 6; no. 1; pp. 21 - 28 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Beirut
Sciendo
01.01.2021
De Gruyter Poland |
| Subjects | |
| Online Access | Get full text |
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| Abstract | Emerging as a new field, quantum computation has reinvented the fundamentals of Computer Science and knowledge theory in a manner consistent with quantum physics. The fact that quantum computation has superior features and new events than classical computation provides benefits in proving mathematical theories. With advances in technology, the nonlinear partial differential equations are used in almost every area, and many difficulties have been overcome by the solutions of these equations. In particular, the complex solutions of KdV and Burgers equations have been shown to be used in modeling a simple turbulence flow. In this study, Burger-like equation with complex solutions is defined in Hilbert space and solved with an example. In addition, these solutions were analyzed. Thanks to the Quantum Burgers-Like equation, the nonlinear differential equation is solved by linearizing. The pattern changes of time made the result linear. This means that the Quantum Burgers-Like equation can be used to smoothen the sonic processing. |
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| AbstractList | Emerging as a new field, quantum computation has reinvented the fundamentals of Computer Science and knowledge theory in a manner consistent with quantum physics. The fact that quantum computation has superior features and new events than classical computation provides benefits in proving mathematical theories. With advances in technology, the nonlinear partial differential equations are used in almost every area, and many difficulties have been overcome by the solutions of these equations. In particular, the complex solutions of KdV and Burgers equations have been shown to be used in modeling a simple turbulence flow. In this study, Burger-like equation with complex solutions is defined in Hilbert space and solved with an example. In addition, these solutions were analyzed. Thanks to the Quantum Burgers-Like equation, the nonlinear differential equation is solved by linearizing. The pattern changes of time made the result linear. This means that the Quantum Burgers-Like equation can be used to smoothen the sonic processing. |
| Author | Agarwal, Praveen Gençoğlu, Muharrem Tuncay |
| Author_xml | – sequence: 1 givenname: Muharrem Tuncay surname: Gençoğlu fullname: Gençoğlu, Muharrem Tuncay email: mt.gencoglu@firat.edu.tr organization: Vocational School of Technical Sciences, University of Firat, Elazig, Turkey – sequence: 2 givenname: Praveen surname: Agarwal fullname: Agarwal, Praveen email: goyal.praveen2011@gmail.com organization: Anand International College of Engineering, Near Kanota, Agra Road, Jaipur-303012, Rajasthan, India |
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| SubjectTerms | 00A69 81P68 81Q80 82D77 93B18 93C20 94A05 Partial differential equations Quantum Computing Quantum Differential Equation Sonic Processes Sound Smoothing |
| Title | Use of Quantum Differential Equations in Sonic Processes |
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