Results 1 to 10 of about 1,387 (185)
Haar wavelet fractional derivative [PDF]
Proceedings of the Estonian Academy of Sciences, 2022 In this paper, the fundamental properties of fractional calculus are discussed with the aim of extending the definition of fractional operators by using wavelets.
Carlo Cattani
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A Comparative Study using Scale-2 and Scale-3 Haar Wavelet for the Solution of Higher Order Differential Equation [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2023 A comparative study of scale-2 and scale-3 Haar wavelet has been presented to illustrate the level of accuracy attained by both the wavelets by applying on higher order differential equations known as Emden fowler equation, which has great importance in ...
Ratesh Kumar, Jaya Gupta
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A Wavelet Collocation Method for some Fractional Models
Ratio Mathematica, 2022 This article presents an effective numerical approach based on the operational matrix of fractional order integration of Haar wavelets for dealing with the fractional models of the mixing and the Newton law of cooling problems.
R Aruldoss, G. Jasmine
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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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Solution of Fisher Kolmogorov Petrovsky Equation Driven via Haar Scale-3 Wavelet Collocation Method
International Journal of Mathematical, Engineering and Management Sciences, 2022 The design of the proposed study is to examine the presentation of a novel numerical techniques based on Scale-3 Haar wavelets for a kind of reaction-diffusion system i.e., Fisher KPP (Kolmogorov Petrovsky Piskunove) Equation.
Ratesh Kumar, Sonia Arora
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Method of Lines With Haar Wavelet For Solving Parabolic Differential Equation [PDF]
مجلة التربية والعلم, 2006 In this paper we present a theoretical framework and numerical comparisons for a wavelet-based algorithm associated with both method of lines and wavelets for solving some partial differential equations.
Kais Ismail Ibraheem
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Applied Mathematics in Science and Engineering, 2023 The solution of a nonlinear hyperbolic Schrödinger equation (NHSE) is proposed in this paper using the Haar wavelet collocation technique (HWCM). The central difference technique is applied to handle the temporal derivative in the NHSE and the finite ...
Weidong Lei +4 more
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Numerical Solution for Linear State Space Systems using Haar Wavelets Method
مجلة بغداد للعلوم, 2022 In this research, Haar wavelets method has been utilized to approximate a numerical solution for Linear state space systems. The solution technique is used Haar wavelet functions and Haar wavelet operational matrix with the operation to transform the ...
Waleeda swaidan ali, Haleema S. Ali
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Solving a Class of Nonlinear Optimal Control Problems Using Haar Wavelets and Hybrid GA [PDF]
Control and Optimization in Applied Mathematics, 2023 In this paper, we solve a class of nonlinear optimal control problems using a hybrid genetic algorithm (HGA) and a direct method based on the Haar wavelets where the performance index is Bolza-form and the dynamic system is linear.
Saeed Nezhadhosein +2 more
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Perturbations of the Haar wavelet [PDF]
Proceedings of the American Mathematical Society, 1997 Summary: Let \(m \in Z^+\) be given. For any \(\varepsilon > 0\) we construct a function \(f^{\{\varepsilon \}}\) having the following properties: (a) \(f^{\{\varepsilon \}}\) has support in \([-\varepsilon , 1 + \varepsilon ]\). (b) \(f^{\{\varepsilon \}} \in C^m(-\infty , \infty)\).
Govil, N. K., Zalik, R. A.
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