Legendre Wavelet
Legendre Wavelet and He's Homotopy Perturbation Methods for Linear Fractional Integro Differential Equations
... the Legendre wavelet method (LWM) and He's Homotopy perturbation method (HPM) are applied to approximate solution for linear fractional integro-differential equation with initial ...
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Discontinuous Legendre Wavelet Galerkin Method for One Dimensional Advection Diffusion Equation
... discontinuous Legendre wavelet approximation, where numerical information only communicates lo- cally via numerical fluxes, to cope with complicated geometries and to represent the dynamics and structure of ...
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Numerical study of the radial Schrodinger Equation for Hydrogen atom using Legendre wavelet
... The numerical solution of the above equation is the subject of many research papers in the last two decades [2, 3, 4, 5, 6]. This equation has the analytical answers for few potential energies V (r). For many poten- tial ...
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Convergence of Legendre wavelet collocation method for solving nonlinear Stratonovich Volterra integral equations
... There are many stochastic integral equations which can not be solved analyti- cally. In recent decade, many researcher are trying to develop the numerical methods for solving stochastic integral equations such as Itˆ o ...
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MODEL ORDER REDUCTION BASED ON MOMENT MATCHING USING LEGENDRE WAVELET AND HARMONY SEARCH ALGORITHM
... Step 3: Applying HS to find the unknown parameters. The goal of the optimization is to find the best parameters for G s r ( ) . Therefore, each harmony is a d -dimensional vector in which d is c r d r . Each harmony is ...
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A numerical study of fractional order reverse osmosis desalination model using Legendre wavelet approximation
... The purpose of this study is to develop a new approach in modeling and simulation of a reverse osmosis desalination system by using fractional differential equations. Using the Legendre wavelet method ...
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The Legendre Wavelet Method for Solving Singular Integro-differential Equations
... of Legendre wavelets to find the approximate solution of ...The Legendre wavelet method (LWM) consists of reducing the given integral equations to a system of simultaneous nonlinear ...of ...
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Legendre Wavelet Neural Networks for Power Amplifier Linearization
... combining Legendre wavelet with neural networks, the LWNN can developed [6], which is constructed based on the wavelet transform theory and is an alternative method of feed forward neural networks ...
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Legendre Wavelet expansion of functions and their Approximations
... new Legendre wavelet estimators of functions having bounded third and fourth derivatives have been ...in wavelet analysis. Legendre wavelet estimator of a function f of bounded higher ...
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Legendre Wavelet for Solving Linear System of Fredholm And Volterra Integral Equations
... by Legendre wavelets with unknown ...of Legendre wavelets. The properties of Legendre wavelets together with zeros of Legendre wavelets are then utilized to evaluate the unknown coefficients ...
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Comparison of Adomian Decomposition and Taylor Expansion Methods for the Solutions of Fractional Integro Differential Equations
... where is Caputo fractional derivative and α is a parameter describing the order of the fractional derivative. Such kind of equations arise in the mathematical modelling of various physical phenomena, such as heat ...
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Option pricing with Legendre polynomials
... • Here, we have used Olver’s algorithm for the computations of the integrals involving Legendre polynomials and exponential functions (95). Indeed, Olver’s method consists to replace the original problem by an ...
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Generalized Legendre Stirling Numbers
... generalized Legendre-Stirling numbers and used this second interpretation to prove a num- ber of generalized combinatorial identities for these ...the Legendre-Stirling numbers and describe a bijection ...
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Congruence formulas for Legendre modular polynomials
... Let MΓ0 p∩Γ2 be the stack over Z[1/2] whose S-points are the isomorphism classes of generalized elliptic curves E/S, endowed with a locally free subgroup A of rank p such that A + E[2] m[r] ...
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Comparative Analysis of Image Compression Using Wavelet and Ridgelet Transform
... analyse wavelet and ridgelet technique for image ...Haar wavelet, Daubechies wavelet, Symlet wavelet, Coiflet wavelet, Biorthogonal wavelet and Ridgelet Transform have been ...
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A High Accurate and Stable Legendre Transform
... potential instability of interpolative decomposition (ID) [15] for very high order Legendre transform.. 40.[r] ...
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Sums of finite products of Legendre and Laguerre polynomials
... In this paper, we considered the Fourier series expansions for functions associated with Legendre and Laguerre polynomials. In addition, by using a method other than Fourier series expansions, we were able to ...
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Classical duals, Legendre transforms and the Vainshtein mechanism
... the Legendre transform of the original Lagrangian, and present a practical method for finding the dual in general; our methods can also be applied to self-interacting theories with a hierarchy of strong coupling ...
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2. A simple proof of identities of Legendre and Ramanujan
... By using two simple theta function identities we prove both Ra- manujan’s celebrated identity and Legendre’s identity.. Introduction.[r] ...
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The intervals of oscillations in the solutions of the Legendre differential equations
... where the node at x = has been counted for the odd solutions of equation (). Nodes at x = ± do not occur for any n, not even in solutions that remain finite at these endpoints. The node counts clarify why the ...
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