Results 1 to 10 of about 2,409 (217)
Wavelet Method for Numerical Solution of Parabolic Equations [PDF]
Journal of Computational Engineering, 2014 We derive a highly accurate numerical method for the solution of parabolic partial differential equations in one space dimension using semidiscrete approximations. The space direction is discretized by wavelet-Galerkin method using some special types of basis functions obtained by integrating Daubechies functions which are compactly supported and ...
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Chebyshev Wavelet Method for Numerical Solutions of Coupled Burgers Equation
Hacettepe Journal of Mathematics and Statistics, 2018 Summary: This paper deals with the numerical solutions of one dimensional time dependent coupled Burgers' equation with suitable initial and boundary conditions by using Chebyshev wavelets in collaboration with a collocation method. The proposed method converts coupled Burgers' equations into system of algebraic equations by aid of the Chebyshev ...
Oruç, Ö., Bulut, F., Esen, A.
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Multiresolution Wavelet Based Adaptive Numerical Dissipation Control for High Order Methods
Journal of Scientific Computing, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sjögreen, Bjorn, Yee, Helen C.
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Numerical Solution for Linear State Space Systems using Haar Wavelets Method
Baghdad Science Journal, 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 state space system into a system of linear algebraic equations which can be resolved by MATLAB over an ...
Waleeda swaidan ali, Haleema S. Ali
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Wavelet-based Methods for Numerical Solutions of Differential Equations
, 2019 Wavelet theory has been well studied in recent decades. Due to their appealing features such as sparse multiscale representation and fast algorithms, wavelets have enjoyed many tremendous successes in the areas of signal/image processing and computational mathematics.
Han, Bin +2 more
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Wavelet-Galerkin Method and Some Numerical Method for Lane-Emden Type Differential Equation [PDF]
American Journal of Applied Mathematics and Statistics, 2013 In this paper, we will compare the performance of Adomian decomposition method and the wavelet-Galerkin method applied to the Lane-Emden type differential equation. The Galerkin Wavelet method (GWM), which is known as a numerical approach is used for the Lane- Emden equation, as an initial value problem.
Jafar Biazar, Fereshteh Goldoust
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A Wavelet Collocation Method for the Numerical Solution of Partial Differential Equations
Applied and Computational Harmonic Analysis, 1996 A wavelet collocation method for the numerical solution of partial differential equations is described. It is based on the Daubechie's compactly supported wavelets. Preconditioning techniques and the treatment of boundary conditions are discussed. Results are presented for several 1D and 2D model problems.
Bertoluzza, S., Naldi, G.
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A wavelet based numerical method for nonlinear partial differential equations
, 2003 The purpose of this paper is to present a wavelet–Galerkin scheme for solving nonlinear elliptic partial differential equations. We select as trial spaces a nested sequence of spaces from an appropriate biorthogonal multiscale analysis. This gives rise to a nonlinear discretized system.
Dahlke, S. +6 more
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On a Wavelet-Based Method for the Numerical Simulation of Wave Propagation
Journal of Computational Physics, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hong, Tae-Kyung, Kennett, Brian
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Interval Wavelet Numerical Method on Fokker-Planck Equations for Nonlinear Random System [PDF]
Advances in Mathematical Physics, 2013 The Fokker-Planck-Kolmogorov (FPK) equation governs the probability density function (p.d.f.) of the dynamic response of a particular class of linear or nonlinear system to random excitation. An interval wavelet numerical method (IWNM) for nonlinear random systems is proposed using interval Shannon-Gabor wavelet interpolation operator.
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