Results 21 to 30 of about 33,160 (194)
Mathematics, 2019 In this study, Gegenbauer wavelets are used to present two numerical methods for solving the coupled system of Burgers’ equations with a time-fractional derivative.
Neslihan Ozdemir +2 more
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Numerical treatment of seismic accelerograms and of inelastic seismic structural responses using harmonic wavelets [PDF]
, 2007 The harmonic wavelet transform is employed to analyze various kinds of nonstationary signals common in aseismic design. The effectiveness of the harmonic wavelets for capturing the temporal evolution of the frequency content of strong ground motions is ...
Burrus C. S. +6 more
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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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Using of PQWs for solving NFID in the complex plane
Advances in Difference Equations, 2020 We approximate the solution of the nonlinear Fredholm integro-differential equation (NFID) in the complex plane by periodic quasi-wavelets (PQWs). This kind of wavelets possesses orthonormality properties, the numbers of terms in the decomposition and ...
M. Erfanian +2 more
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Taylor wavelet collocation method for Benjamin–Bona–Mahony partial differential equations
Results in Applied Mathematics, 2021 In this paper, we have developed a computational method for solving Benjamin–Bona–Mahony (BBM) partial differential equations which is based on the Taylor wavelets with the collocation technique.
S.C. Shiralashetti, S.I. Hanaji
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Wavelet Collocation Method for Solving Multiorder Fractional Differential Equations
Journal of Applied Mathematics, 2012 The operational matrices of fractional-order integration for the Legendre and Chebyshev wavelets are derived. Block pulse functions and collocation method are employed to derive a general procedure for forming these matrices for both the Legendre and the
M. H. Heydari +3 more
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Results in Control and Optimization, 2023 In this paper, we provide a unique, cost-effective numerical method for solving the SIR model of a COVID-19 disease using the method of Taylor wavelets and collocation technique.
Vivek, Manoj Kumar
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Alexandria Engineering Journal, 2022 In this article, a wavelet collocation method based on linear Legendre multi-wavelets is proposed for the numerical solution of the first as well as higher orders Fredholm, Volterra and Volterra–Fredholm integro-differential equations.
Imran Khan +4 more
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On computational analysis of highly nonlinear model addressing real world applications
Results in Physics, 2022 This paper presents a numerical strategy for solving boundary value problems (BVPs) that is based on the Haar wavelets method (HWM). BVPs having high Prandtl numbers are discussed, Because they are very important in many practical problems of science and
Shahid Ali +5 more
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