Results 11 to 20 of about 2,608 (269)
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 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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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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Wavelet-based Methods for Numerical Solutions of Differential Equations
CoRR, 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.
Bin Han 0003 +2 more
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A New Fractional Integration Operational Matrix of Chebyshev Wavelets in Fractional Delay Systems
Fractal and Fractional, 2019 Fractional integration operational matrix of Chebyshev wavelets based on the Riemann−Liouville fractional integral operator is derived directly from Chebyshev wavelets for the first time.
Iman Malmir
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New Ultraspherical Wavelets Spectral Solutions for Fractional Riccati Differential Equations
Abstract and Applied Analysis, 2014 We introduce two new spectral wavelets algorithms for solving linear and nonlinear fractional-order Riccati differential equation. The suggested algorithms are basically based on employing the ultraspherical wavelets together with the tau and collocation
W. M. Abd-Elhameed, Y. H. Youssri
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