Results 11 to 20 of about 3,339 (307)
Axioms, 2023 Chebyshev Wavelets of the third kind are proposed in this study to solve nonlinear systems of FDEs. The main goal of the method is to convert the nonlinear FDE into a nonlinear system of algebraic equations that can be easily solved using matrix methods.
Sadiye Nergis Tural Polat +1 more
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Green–Haar wavelets method for generalized fractional differential equations
Advances in Difference Equations, 2020 The objective of this paper is to present two numerical techniques for solving generalized fractional differential equations. We develop Haar wavelets operational matrices to approximate the solution of generalized Caputo–Katugampola fractional ...
Mujeeb ur Rehman +4 more
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An application of Genocchi wavelets for solving the fractional Rosenau-Hyman equation☆
Alexandria Engineering Journal, 2021 In this research, Genocchi wavelets method, a quite new type of wavelet-like basis, is adopted to obtain a numerical solution for the classical and time-fractional Rosenau-Hyman or K(n,n) equation arising in the formation of patterns in liquid drops. The
Melih Cinar, Aydin Secer, Mustafa Bayram
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Numerical Solution for Solving Linear Fractional Differential Equations using Chebyshev Wavelets [PDF]
مجلة التربية والعلم, 2023 In this paper, a numerical method for solving linear fractional differential equations using Chebyshev wavelets matrices has been presented. Fractional differential equations have received great attention in the recent period due to the expansion of ...
Inaam Abdulbaset Fathi, kais Ibrahim
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Generalized Legendre wavelets, definition, properties and their applications for solving linear differential equations [PDF]
Egyptian Journal of Pure and Applied Science, 2023 In this work, the authors offer a novel and accurate method in order to find the solution of the linear differential equations over the intervals [0, 1) based on the generalization of Legendre wavelets. The mechanism is still upon workable implementation
Naglaa El-Shazly +2 more
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Adaptive transient solution of nonuniform multiconductor transmission lines using wavelets [PDF]
, 2000 —This paper presents a highly adaptive algorithm for the transient simulation of nonuniform interconnects loaded with arbitrary nonlinear and dynamic terminations.
S. Grivet-talocia +2 more
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Using of PQWs for solving NFID in the complex plane
Advances in Difference Equations, 2020 We approximate the solution of the nonlinear Fredholm integro-differential equation (NFID) in the complex plane by periodic quasi-wavelets (PQWs). This kind of wavelets possesses orthonormality properties, the numbers of terms in the decomposition and ...
M. Erfanian +2 more
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Taylor wavelet collocation method for Benjamin–Bona–Mahony partial differential equations
Results in Applied Mathematics, 2021 In this paper, we have developed a computational method for solving Benjamin–Bona–Mahony (BBM) partial differential equations which is based on the Taylor wavelets with the collocation technique.
S.C. Shiralashetti, S.I. Hanaji
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Wavelet Method for Numerical Solution of Parabolic Equations [PDF]
Journal of Computational Engineering, 2014 We derive a highly accurate numerical method for the solution of parabolic partial differential equations in one space dimension using semidiscrete approximations. The space direction is discretized by wavelet-Galerkin method using some special types of basis functions obtained by integrating Daubechies functions which are compactly supported and ...
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Wavelet Collocation Method for Solving Multiorder Fractional Differential Equations
Journal of Applied Mathematics, 2012 The operational matrices of fractional-order integration for the Legendre and Chebyshev wavelets are derived. Block pulse functions and collocation method are employed to derive a general procedure for forming these matrices for both the Legendre and the
M. H. Heydari +3 more
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