Fibonacci Operational Matrix Algorithm For Solving Differential Equations Of Lane-Emden Type
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019 The aim of this study is presentan effective and correct technique for solving differential equations ofLane-Emden type as initial value problems. In this work, a numerical method namedas the Fibonacci polynomial approximation method, for the approximate
Musa Çakmak
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ASIC Framework Simplified and Operationalised - An Operational Matrix for Optimising the Use of Technologies and Innovations in Medical Education. [PDF]
Adv Med Educ Pract, 2022 Owolabi J.
europepmc +3 more sources
Using Mott polynomials operational matrices to optimize multi-dimensional fractional optimal control problems [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 We offer a method for solving the fractional optimal control problems of multi-dimensional. We obtain a fractional derivative and multiplication operational matrix for Mott polynomials (M-polynomials).
S.A. Alavi +3 more
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Legendre wavelet method combined with the Gauss quadrature rule for numerical solution of fractional integro-differential equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 In this paper, we use a novel technique to solve the nonlinear fractional Volterra-Fredholm integro-differential equations (FVFIDEs). To this end, the Legendre wavelets are used in conjunction with the quadrature rule for converting the problem into a ...
M. Riahi Beni
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Advances in Medical Education and Practice, 2022 Joshua Owolabi Anatomy Department, Division of Basic Medical Sciences, University of Global Health Equity, Butaro, RwandaCorrespondence: Joshua Owolabi, Email jowolabi@ughe.orgAbstract: The ASIC [adaptation, standardisation, integration and compliance ...
Owolabi J
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An optimal control approach for solving an inverse heat source problem applying shifted Legendre polynomials [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2023 This study addresses the inverse issue of identifying the space-dependent heat source of the heat equation, which is stated using the optimal con-trol framework.
T. Shojaeizadeh, M. Darehmiraki
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Electronic Research Archive, 2023 In this paper, we develop a numerical method by using operational matrices based on Hosoya polynomials of simple paths to find the approximate solution of diffusion equations of fractional order with respect to time.
Ping Zhou +3 more
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An approximate method based on Bernstein polynomials for solving fractional PDEs with proportional delays [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2020 We apply a new method to solve fractional partial differential equations (FPDEs) with proportional delays. The method is based on expanding the unknown solution of FPDEs with proportional delays by the basis of Bernstein polynomials with unknown control ...
A. Ketabdari, M.H. Farahi, S. Effati
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Fractal and Fractional, 2021 Herein, we developed and analyzed a new fractal–fractional (FF) operational matrix for orthonormal normalized ultraspherical polynomials. We used this matrix to handle the FF Riccati differential equation with the new generalized Caputo FF derivative ...
Youssri Hassan Youssri
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Estimation of the regression function by Legendre wavelets [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 We estimate a function f with N independent observations by using Leg-endre wavelets operational matrices. The function f is approximated with the solution of a special minimization problem.
M. Hamzehnejad, M.M. Hosseini, A. Salemi
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