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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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A stability-enhanced preconditioned Haar wavelet scheme for the solution of Poisson and Helmholtz equations [PDF]
Scientific ReportsThis study presents a modified numerical framework based on scale-3 Haar wavelets for the solution of elliptic partial differential equations, namely the Poisson and the Helmholtz equations.
Avinash K., Harinakshi Karkera
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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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Results in Physics, 2019 The aim of this paper is to study the new application of Haar wavelet quasilinearization method (HWQM) to solve one-dimensional nonlinear heat transfer of fin problems.
Suazlan Mt Aznam +2 more
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Free vibration analysis of tapered Timoshenko beam with higher order Haar wavelet method [PDF]
Proceedings of the Estonian Academy of Sciences, 2022 In the current study, the higher order Haar wavelet method based formulation is developed for the analysis of the free vibrations of the tapered Timoshenko beam. The clamped-clamped and clamped-pinned boundary conditions are explored and the results with
Marmar Mehrparvar +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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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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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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Wavelet Methods Used to Solve a System of Linear Equations [PDF]
مجلة التربية والعلم, 2006 In this paper, we study the comparison among many methods to solve a system of linear equations based on the principle of wavelet methods as a Daubechies wavelet, Haar wavelet, Meyer wavelet, Symlet wavelet, Mexican Hat wavelet, Morlet wavelet.
Riyad Mubarak Abdullah +1 more
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Heliyon, 2023 In this paper, firstly, the “ Haar wavelet method ” is used to give approximate solutions for coupled systems of linear fractional Fredholm integro-differential equations.
Amer Darweesh +2 more
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