[PDF] Top 20 Numerical Algorithm to Solve Fractional Integro-Differential Equations Based on Legendre Wavelets Method
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Numerical Algorithm to Solve Fractional Integro-Differential Equations Based on Legendre Wavelets Method
... the Legendre wavelets have been extended to fractional order linear and nonlinear integro-differential equations ...construct fractional orders generalized Legendre ... See full document
6
Numerical Solution of Fractional Integro-differential Equation by Using Cubic B-spline Wavelets
... Abstract—A numerical scheme, based on the cubic B-spline wavelets for solving fractional integro-differential equations is ...The fractional derivative of these ... See full document
6
A Numerical Scheme for Solving Nonlinear Fractional Volterra Integro-Differential Equations
... of fractional calculus in the nonlinear oscillation of earthquakes [11], viscoelastic materials [2], colored noise [22], solid mechanics [30], fluid-dynamic traffic [12], continuum and statistical mechanics [21], ... See full document
22
Wavelets operational methods for fractional differential equations and systems of fractional differential equations
... of fractional order integration is developed and is applied for solving linear and non linear ...not based on orthogonal functions but they posses both operational matrix of derivative and ... See full document
63
Numerical solution of nonlinear mixed Fredholm-Volterra integro-differential equations of fractional order by Bernoulli wavelets
... Our method is based upon Bernoulli wavelets ...Bernoulli wavelets are first ...of fractional integration for Bernoulli wavelets by expanding these wavelets into block-pulse ... See full document
14
A numerical method for partial fractional Fredholm integro-differential equations
... expansion method, based on orthonormal polyno- mials to solve ...presented method on three test problems and showed that the numerical results have high accuracy comparing with exact ... See full document
11
A modified series solution method for fractional integro differential equations
... nonlinear fractional integro-differential ...a fractional power in the power series can be ...contains fractional powers of x then our consideration of the generalized power series can ... See full document
8
Fractional-order Legendre wavelets and their applications for solving fractional-order differential equations with initial/boundary conditions
... collocation method based on the fractional-order Bernstein functions for solving the fractional Riccati type differential ...the fractional Legendre functions to interval [0, h] ... See full document
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The Legendre Wavelet Method for Solving Singular Integro-differential Equations
... years, wavelets have found their place in many applications such as signal processing, image processing, and solution of many ...of wavelets is its ability to convert the given differential and ... See full document
7
A numerical technique based on operational matrices for solving nonlinear integro-differential equations
... computational method for solving two types of integro-differential equations, system of nonlinear high order Volterra-Fredholm integro-differential equation(VFIDEs) and nonlinear ... See full document
16
Modified Algorithm for Solving Linear Integro Differential Equations of the Second Kind
... linear integro-differential equations, such as the Improved Bessel collocation method [4], the Legendre wavelets method [5], the finite element method [6], the Tau ... See full document
10
Numerical solution of gas solution in a fluid: fractional derivative model
... a numerical algorithm, this equation as a three–term fractional differential equation is ...proposed numerical scheme is provided in Section ...the numerical results to ... See full document
13
Covariance Operators and the Central Limit Theory for "Loop" Markov Chains
... of fractional integrals and derivatives can been found in many fields of science and engineering such as viscoelasticity, fractional differential operators which have been used to describe materials ... See full document
9
A method for fractional Volterra integro differential equations by Laguerre polynomials
... approximation method based on the Laguerre polynomials for fractional linear Volterra integro-differential ...This method transforms the integro-differential equation to a system ... See full document
11
Finite integration method with RBFs for solving time-fractional convection-diffusion equation with variable coefficients
... diffusion equations with variable ...the fractional derivative is obtained by product Simpson’s ...the Legendre polynomials are used along the x ...FIM, numerical examples are ... See full document
15
Wavelet based Galerkin Method for the Numerical Solution of One Dimensional Partial Differential Equations
... of wavelets in science and engineering ...expect numerical methods based on wavelet bases to be able to attain good spatial and spectral ...the numerical solutions of differential ... See full document
11
Solving linear Volterra–Fredholm integro- differential equations of fractional order by using Generalized Differential Transform Method
... in integro -differential equations ...create integro-differential equations ...by fractional integro- differential equations ... See full document
12
Legendre Wavelet and He's Homotopy Perturbation Methods for Linear Fractional Integro Differential Equations
... applied Legendre wavelet method and He's homotopy perturbation method for linear fractional Integro-differential equations with known exact ... See full document
7
An Algorithm for the Numerical Solution of System of Fractional Differential Equations
... t (13) The new algorithm is based on the modified trapezoidal rule and the fractional Euler's method. Our approach depends on the analytical property that the initial value problem (13 ) is ... See full document
5
Online Full Text
... the numerical solutions are very good agreement with the exact ...proposed method is very efficient and accurate for solution of this ...of Legendre polynomials are needed when n 3 ... See full document
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