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Full-Wave Image Reconstruction in Transcranial Photoacoustic Computed Tomography Using a Finite Element Method. [PDF]
IEEE Trans Med ImagingLuo Y +10 more
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Legendre wavelet method for fractional delay differential equations
Applied Numerical Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuttanan, Boonrod +2 more
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The Legendre wavelet method for solving fractional differential equations
Communications in Nonlinear Science and Numerical Simulation, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ur Rehman, Mujeeb, Ali Khan, Rahmat
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Legendre wavelets method for the nonlinear Volterra–Fredholm integral equations
Mathematics and Computers in Simulation, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yousefi, S., Razzaghi, M.
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Option Pricing by the Legendre Wavelets Method
Computational Economics, 2021This paper presents the numerical solution of the Black–Scholes partial differential equation (PDE) for the evaluation of European call and put options. The proposed method is based on the finite difference and Legendre wavelets aproximation scheme. We derive a matrix structure for the Legendre wavelets integral operator which has been widely used so ...
Reza Doostaki, Mohammad Mehdi Hosseini
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Two-Dimensional Müntz–Legendre Wavelet Method for Fuzzy Hybrid Differential Equations
New Mathematics and Natural Computation, 2022In this paper, the fuzzy approximate solutions for the fuzzy Hybrid differential equation emphasizing the type of generalized Hukuhara differentiability of the solutions are obtained by using the two-dimensional Müntz–Legendre wavelet method. To do this, the fuzzy Hybrid differential equation is transformed into a system of linear algebraic equations ...
Shahryari, N. +2 more
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Legendre wavelets direct method for variational problems
Mathematics and Computers in Simulation, 2000A direct method for solving variational problems using Legendre wavelets is presented. An operational matrix of integration is first introduced and is utilized to reduce a variational problem to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.
M. Razzaghi, S. Yousefi
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Legendre Wavelets Method for Nonlinear Fractional Differences Equation
2010 First ACIS International Symposium on Cryptography, and Network Security, Data Mining and Knowledge Discovery, E-Commerce and Its Applications, and Embedded Systems, 2010In this paper we consider a kind of polynomials-Legendre polynomials then we get Legendre wavelet. Legendre wavelet operational matrix of the fractional integration is derived and combined the property of operational matrix to solve nonlinear fractional differential equations, we give some example and the numerical example shows that the method is ...
Fengbo Hou +3 more
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Legendre wavelets method for constrained optimal control problems
Mathematical Methods in the Applied Sciences, 2002AbstractA numerical method for solving non‐linear optimal control problems with inequality constraints is presented in this paper. The method is based upon Legendre wavelet approximations. The properties of Legendre wavelets are first presented. The operational matrix of integration and the Gauss method are then utilized to reduce the optimal control ...
Razzaghi, Mohsen, Yousefi, Sohrabali
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An Approximation Method for Solving Burgers’ Equation Using Legendre Wavelets
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Venkatesh, S. G. +2 more
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