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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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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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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Numerical Solution for Non-linear Boussinesq System Using the Haar Wavelet Method [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2013 In this paper, an operational matrix of integrations based on the Haar wavelet method is applied for finding the numerical solution of non-linear third-order boussinesq system and the numerical results were compared with the exact solution.
Ekhlass Al-Rawi, Ahmed Qasim
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Fractal and Fractional, 2023 Approximate solutions for a family of nonlinear fractional-order differential equations are introduced in this work. The fractional-order operator of the derivative are provided in the Caputo sense.
Adel Abd Elaziz El-Sayed +2 more
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Shifted genocchi polynomials operational matrix for solving fractional order stiff system [PDF]
, 2021 In this paper, we solve the fractional order stiff system using shifted Genocchi poly nomials operational matrix. Different than the well known Genocchi polynomials, we shift the interval from [0, 1] to [1, 2] and name it as shifted Genocchi polynomials.
Chang Phang, Chang Phang +1 more
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