Results 1 to 10 of about 42,155 (165)
Fractal and Fractional, 2022 In this article, we develop a numerical method based on the operational matrices of shifted Vieta–Lucas polynomials (VLPs) for solving Caputo fractional-order differential equations (FDEs).
Zulfiqar Ahmad Noor +3 more
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New operational matrices of orthogonal Legendre polynomials and their operational
Journal of Taibah University for Science, 2019 Many conventional physical and engineering phenomena have been identified to be well expressed by making use of the fractional order partial differential equations (FOPDEs).
Imran Talib +2 more
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MethodsX, 2023 In this paper, a new orthogonal basis for the space of cubic splines has been introduced. A linear combination of cubic orthogonal splines is considered to approximate the functions in which the coefficients are calculated with numerically stable ...
Javad Alavi, Hossein Aminikhah
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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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Spectral operators of matrices [PDF]
Mathematical Programming, 2017 42 ...
Chao Ding +3 more
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A numerical approach for solving variable order differential equations using Bernstein polynomials
Alexandria Engineering Journal, 2020 In this study, a numerical technique is applied to investigate solutions of linear variable order differential equations(VODEs) in fluid mechanics. We investigate variable order(VO) in the Caputo sense.
Nematollah Kadkhoda
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Fibonacci Wavelet Method for the Solution of the Non-Linear Hunter–Saxton Equation
Applied Sciences, 2022 In this article, a novel and efficient collocation method based on Fibonacci wavelets is proposed for the numerical solution of the non-linear Hunter–Saxton equation. Firstly, the operational matrices of integration associated with the Fibonacci wavelets
H. M. Srivastava +2 more
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Journal of Taibah University for Science, 2022 In this manuscript, a numerical method based on the conjunction of Paraskevopoulos's algorithm and operational matrices is developed to solve numerically the multi-order linear and nonlinear fractional differential equations. By means of this conjunction,
Imran Talib +3 more
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Mathematics, 2020 In this study, we introduce an efficient computational method to obtain an approximate solution of the time-dependent Emden-Fowler type equations. The method is based on the 2D-Bernstein polynomials (2D-BPs) and their operational matrices.
Ahmad Sami Bataineh +4 more
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Mathematics, 2023 In this research, we provide sufficient conditions to prove the existence of local and global solutions for the general two-dimensional nonlinear fractional integro-differential equations. Furthermore, we prove that these solutions are unique.
Tahereh Eftekhari, Jalil Rashidinia
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