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Dehbozorgi, Raziyeh, Ebrahimzadeh, Asiyeh. (1403). An operational vector method based on Chebyshev wavelet and hybrid functions for Riccati differential equations: Application in nonlinear physics equations. سامانه مدیریت نشریات علمی, 12(1), 77-88. doi: 10.22034/cmde.2023.55213.2295
Raziyeh Dehbozorgi; Asiyeh Ebrahimzadeh. "An operational vector method based on Chebyshev wavelet and hybrid functions for Riccati differential equations: Application in nonlinear physics equations". سامانه مدیریت نشریات علمی, 12, 1, 1403, 77-88. doi: 10.22034/cmde.2023.55213.2295
Dehbozorgi, Raziyeh, Ebrahimzadeh, Asiyeh. (1403). 'An operational vector method based on Chebyshev wavelet and hybrid functions for Riccati differential equations: Application in nonlinear physics equations', سامانه مدیریت نشریات علمی, 12(1), pp. 77-88. doi: 10.22034/cmde.2023.55213.2295
Dehbozorgi, Raziyeh, Ebrahimzadeh, Asiyeh. An operational vector method based on Chebyshev wavelet and hybrid functions for Riccati differential equations: Application in nonlinear physics equations. سامانه مدیریت نشریات علمی, 1403; 12(1): 77-88. doi: 10.22034/cmde.2023.55213.2295

An operational vector method based on Chebyshev wavelet and hybrid functions for Riccati differential equations: Application in nonlinear physics equations

Computational Methods for Differential Equations
مقاله 7، دوره 12، شماره 1، فروردین 2024، صفحه 77-88    اصل مقاله (383.48 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2023.55213.2295
نویسندگان
Raziyeh Dehbozorgi1؛ Asiyeh Ebrahimzadeh* 2
1Iran University of science and technology, Tehran, Iran.
2Department of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, Iran.
چکیده
In this paper, we introduce an operational vector approach that uses Chebyshev wavelets and hybrid functions to approximate the solution of the Riccati differential equation arising in nonlinear physics equations celebrated as cosmology problems. The scheme's main features include a simple structure based on certain matrices and vectors, low computational complexity, and high accuracy. The method is direct, which means that projection methods are not used throughout the approximation procedure in order to reduce computational cost. Error analyses are provided, and several numerical examples and comparisons confirm the proposed scheme's superiority.
کلیدواژه‌ها
Riccati equation؛ Direct method؛ Chebyshev wavelets؛ Hybrid functions؛ Operational vectors
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