Haar Wavelet Method for the System of Integral Equations [PDF]
Abstract and Applied Analysis, 2014 We employed the Haar wavelet method to find numerical solution of the system of Fredholm integral equations (SFIEs) and the system of Volterra integral equations (SVIEs).
Hassan A. Zedan, Eman Alaidarous
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Solving Nonlinear Boundary Value Problems Using the Higher Order Haar Wavelet Method
Mathematics, 2021 The current study is focused on development and adaption of the higher order Haar wavelet method for solving nonlinear ordinary differential equations. The proposed approach is implemented on two sample problems—the Riccati and the Liénard equations. The
Mart Ratas, Jüri Majak, Andrus Salupere
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Haar wavelet collocation method for the numerical solution of singular initial value problems
Ain Shams Engineering Journal, 2016 In this paper, numerical solutions of singular initial value problems are obtained by the Haar wavelet collocation method (HWCM). The HWCM is a numerical method for solving integral equations, ordinary and partial differential equations.
S.C. Shiralashetti +2 more
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Application of higher order Haar wavelet method for solving nonlinear evolution equations
Mathematical Modelling and Analysis, 2020 The recently introduced higher order Haar wavelet method is treated for solving evolution equations. The wave equation, the Burgers’ equations and the Korteweg-de Vries equation are considered as model problems.
Mart Ratas, Andrus Salupere
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Dynamics of flight of the fragments with higher order Haar wavelet method [PDF]
Proceedings of the Estonian Academy of SciencesFragments that have an irregular shape and move at high speeds are difficult to assess since experiments require high-tech solutions, and the differential equations that describe the motion cannot be solved analytically.
Lenart Kivistik +3 more
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Haar wavelet collocation method for linear first order stiff differential equations [PDF]
ITM Web of Conferences, 2020 In general, there are countless types of problems encountered from different disciplines that can be represented by differential equations. These problems can be solved analytically in simpler cases; however, computational procedures are required for more ...
Atay Mehmet Tarık +4 more
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A Haar Wavelet Decision Feedback Channel Estimation Method in OFDM Systems
Applied Sciences, 2018 Channel estimation is a key technology in improving the performance of the orthogonal frequency division multiplexing (OFDM) system. The pilot-based channel estimation method decreases the spectral efficiency and data transmission rate. Some conventional
Ruiguang Tang, Xiao Zhou, Chengyou Wang
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Green–Haar wavelets method for generalized fractional differential equations [PDF]
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 operational Haar wavelet method for solving fractional Volterra integral equations [PDF]
International Journal of Applied Mathematics and Computer Science, 2011 An operational Haar wavelet method for solving fractional Volterra integral equationsA Haar wavelet operational matrix is applied to fractional integration, which has not been undertaken before. The Haar wavelet approximating method is used to reduce the fractional Volterra and Abel integral equations to a system of algebraic equations.
Saeedi, Habibollah +3 more
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Feedback Control Method Using Haar Wavelet Operational Matrices for Solving Optimal Control Problems [PDF]
Abstract and Applied Analysis, 2013 Most of the direct methods solve optimal control problems with nonlinear programming solver. In this paper we propose a novel feedback control method for solving for solving affine control system, with quadratic cost functional, which makes use of only ...
Waleeda Swaidan, Amran Hussin
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