Results 1 to 10 of about 39,634 (207)
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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Solving nonlinear PDEs using the higher order Haar wavelet method on nonuniform and adaptive grids
Mathematical Modelling and Analysis, 2021 The higher order Haar wavelet method (HOHWM) is used with a nonuniform grid to solve nonlinear partial differential equations numerically. The Burgers’ equation, the Korteweg–de Vries equation, the modified Korteweg–de Vries equation and the sine–Gordon ...
Mart Ratas, Andrus Salupere, Jüri Majak
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Sensors, 2022 Maintenance in small hydroelectric plants (SHPs) is essential for securing the expansion of clean energy sources and supplying the energy estimated to be required for the coming years.
Rodrigo Barbosa de Santis +2 more
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Numerical solutions of higher order boundary value problems via wavelet approach
Advances in Difference Equations, 2021 This paper presents a numerical scheme based on Haar wavelet for the solutions of higher order linear and nonlinear boundary value problems. In nonlinear cases, quasilinearization has been applied to deal with nonlinearity.
Shams Ul Arifeen +5 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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Linear Scaling Solution of the Coulomb problem using wavelets [PDF]
, 1997 The Coulomb problem for continuous charge distributions is a central problem in physics. Powerful methods, that scale linearly with system size and that allow us to use different resolutions in different regions of space are therefore highly desirable ...
Arias +18 more
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Nauka ta progres transportu, 2017 Purpose. The existing system of automatic locomotive signaling (ALS) was developed at the end of the last century. This system uses the principle of a numerical code which is implemented on the basis of relay engineering, and therefore, it is exposed to ...
O. O. Hololobova, V. I. Havrilyuk
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Design of Gm-C wavelet filter for on-line epileptic EEG detection [PDF]
, 2019 Copyright © 2019 The Institute of Electronics, Information and Communication EngineersAnalog filter implementation of continuous wavelet transform is considered as a promising technique for on-line spike detection applied in wearable electroencephalogram
He, Yigang +4 more
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IEEE Access, 2019 Recently, a modeling method for head-related transfer functions (HRTFs) in the spatial domain is proposed based on spherical wavelets. Because spherical wavelets are local functions on the sphere, HRTF local features can be efficiently represented by ...
Huaping Liu, Yong Fang, Qinghua Huang
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Scattering Calculations with Wavelets [PDF]
, 2002 We show that the use of wavelet bases for solving the momentum-space scattering integral equation leads to sparse matrices which can simplify the solution. Wavelet bases are applied to calculate the K-matrix for nucleon-nucleon scattering with the s-wave
Kessler, B. M. +2 more
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