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. Some benchmark test problems are given to verify the efficiency and accuracy of the aforesaid method.
Rohul Amin +4 more
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Comparative Analysis of Wavelet Bases for Solving First-Kind Fredholm Integral Equations
ComputationThis research presents a comparative analysis of numerical methods for solving first-kind Fredholm integral equations using the Bubnov–Galerkin method with various wavelet and orthogonal polynomial bases.
Nurlan Temirbekov +3 more
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A time-varying wavelet phase extraction method using the wavelet amplitude spectra
Systems Science & Control Engineering, 2018 The vertical resolution of seismic data is greatly affected by time-varying seismic wavelets, and the phase extraction is the key topic for the accurate wavelet extraction.
Peng Zhang +4 more
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Numerical solution of volterra integral equations with weakly singular kernel using legendre wavelet method [PDF]
Mathematics and Computational SciencesThe presented paper investigates a new numerical method based on the characteristics of Legendre wavelet for solving Volterra Integral equations in this method,With the help of block-pulse functions and their characteristics, we obtain the fractional ...
Ali Khani, Nader Belalzadeh
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Adaptive Multi-Rate Wavelet Method for Circuit Simulation [PDF]
, 2014 In this paper a new adaptive algorithm for multi-rate circuit simulation encountered in the design of RF circuits based on spline wavelets is presented.
Bittner, K., Brachtendorf, H. G.
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Introducing Legendre wavelet functions for damage detection in laminated composite beams
Composites Part C: Open AccessThis paper introduces Legendre wavelets as a novel wavelet type and explores their effectiveness in detecting damage in carbon-epoxy composite beams.
Morteza Saadatmorad +2 more
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Biorthogonal-Wavelet-Based Method for Numerical Solution of Volterra Integral Equations [PDF]
Entropy, 2019 Framelets theory has been well studied in many applications in image processing, data recovery and computational analysis due to the key properties of framelets such as sparse representation and accuracy in coefficients recovery in the area of numerical and computational theory.
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Derivation of Eurocode 8 spectrum-compatible time-histories from recorded seismic accelerograms via harmonic wavelets [PDF]
, 2010 A computationally efficient harmonic wavelet-based iterative procedure is proposed to modify suites of recorded accelerograms to be used in the aseismic design of critical structures regulated by the European code provisions (EC8).
Giaralis, A., Spanos, P. D.
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Wavelet transforms and their applications to MHD and plasma turbulence: a review
, 2015 Wavelet analysis and compression tools are reviewed and different applications to study MHD and plasma turbulence are presented. We introduce the continuous and the orthogonal wavelet transform and detail several statistical diagnostics based on the ...
Farge, Marie, Schneider, Kai
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Wavelet methods for the numerical analysis of oscillatory integrals
, 2004 We have worked with three families of functions known for their localisation in space and in frequency: the wavelet basis, the wavelet packet basis, and the Malvar local cosine basis. We have constructed and implemented two algorithms: --- for the equation $\Delta(u)+\1e^(c*u)=f$ with $f$ having a tough singularity, we have proved sharp complexity ...
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