Results 41 to 50 of about 3,942 (181)
A new scheme for the solution of the nonlinear Caputo–Hadamard fractional differential equations
Alexandria Engineering JournalThis paper introduces a numerical approach by generalizing Legendre wavelets for solving nonlinear Caputo–Hadamard fractional differential equations. The methodology involves the extension of classical Legendre wavelets, namely the generalized Legendre ...
Umer Saeed, Mujeeb ur Rehman
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Journal of Applied Mathematics, 2013 This paper develops a modified variational iteration method coupled with the Legendre wavelets, which can be used for the efficient numerical solution of nonlinear partial differential equations (PDEs). The approximate solutions of PDEs are calculated in
Fukang Yin +3 more
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Mathematics, 2018 This paper introduces a new numerical approach to solving a system of fractional differential equations (FDEs) using the Legendre wavelet operational matrix method (LWOMM).
Aydin Secer, Selvi Altun
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Legendre Wavelet expansion of functions and their Approximations
Ratio Mathematica, 2019 In this paper , nine new Legendre wavelet estimators of functions having bounded third and fourth derivatives have been obtained.These estimators are new and best approximation in wavelet analysis. Legendre wavelet estimator of a function f of bounded higher order derivatives is better and sharper than the estimator of a function f of bounded less ...
Bhan, Indra, Shyam, Lal, Shyam, Lal
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Homotopy Analysis And Legendre Multi-Wavelets Methods For Solving Integral Equations [PDF]
, 2009 Due to the ability of function representation, hybrid functions and wavelets have a special position in research. In this thesis, we state elementary definitions, then we introduce hybrid functions and some wavelets such as Haar, Daubechies, Cheby ...
Vahdati, Saeed
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A new approach for solving Bratu’s problem
Demonstratio Mathematica, 2019 A numerical technique for one-dimensional Bratu’s problem is displayed in this work. The technique depends on Bernstein polynomial approximation. Numerical examples are exhibited to verify the efficiency and accuracy of the proposed technique.
Ghomanjani Fateme, Shateyi Stanford
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Beni-Suef University Journal of Basic and Applied Sciences, 2017 In this paper, we have introduced an efficient Legendre wavelet spectral method (LWSM) to ship roll motion model for investigating the nonlinear damping coefficients.
D. Sathyaseelan, G. Hariharan, K. Kannan
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Wavelet transform modulus maxima based fractal correlation analysis
, 2007 The wavelet transform modulus maxima (WTMM) used in the singularity analysis of one fractal function is extended to study the fractal correlation of two multifractal functions.
33 +19 more
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On the Wavelet Collocation Method for Solving Fractional Fredholm Integro-Differential Equations
Mathematics, 2022 An efficient algorithm is proposed to find an approximate solution via the wavelet collocation method for the fractional Fredholm integro-differential equations (FFIDEs).
Haifa Bin Jebreen, Ioannis Dassios
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Smooth Wavelet Approximations of Truncated Legendre Polynomials via the Jacobi Theta Function
Abstract and Applied Analysis, 2014 The family of nth order q-Legendre polynomials are introduced. They are shown to be obtainable from the Jacobi theta function and to satisfy recursion relations and multiplicatively advanced differential equations (MADEs) that are analogues of the ...
David W. Pravica +2 more
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