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
doaj +4 more sources
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
doaj +2 more sources
Efficient Numerical Algorithm for the Solution of Eight Order Boundary Value Problems by Haar Wavelet Method. [PDF]
Int J Appl Comput Math, 2021 In this paper, the Haar technique is applied to both nonlinear and linear eight-order boundary value problems. The eight-order derivative in the boundary value problem is approximated using Haar functions in this technique and the integration process is ...
Amin R +4 more
europepmc +2 more sources
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
doaj +3 more sources
Two-dimensional Haar Wavelet Method for Numerical Solution of Delay Partial Differential Equations
Journal of Function Spaces, 2022 In this paper, a two-dimensional Haar wavelet collocation method is applied to obtain the numerical solution of delay and neutral delay partial differential equations. Both linear and nonlinear problems can be solved using this method.
Rohul Amin +4 more
doaj +2 more sources
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
doaj +2 more sources
Higher-order Haar wavelet method for vibration analysis of nanobeams
Materials Today Communications, 2020 In this study, the recently developed higher-order Haar wavelet method (HOHWM) was applied in the vibration analysis of nanobeams. The method was evaluated for different boundary conditions. The complexity analysis of HOHWM was performed, and the factors
David Bassir, Juri Majak
exaly +2 more sources
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
doaj +2 more sources
Haar wavelet method for vibration analysis of nanobeams
Waves, Wavelets and Fractals, 2016 In the current study the Haar wavelet method is adopted for free vibration analysis of nanobeams. The size-dependent behavior of the nanobeams, occurring in nanostructures, is described by Eringen nonlocal elasticity model.
M. Kirs +5 more
semanticscholar +2 more sources
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
doaj +3 more sources