[PDF] Top 20 Numerical solution of multi-order fractional differential equations via the sinc collocation method
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Numerical solution of multi-order fractional differential equations via the sinc collocation method
... is fractional calculus which dates back to the time of Leibniz [1] and from then many studies were done in this field ...[14]–[12]. Fractional differential equations (FDEs) have attracted the ... See full document
13
Numerical solution of Volterra partial integro differential equations based on sinc collocation method
... the numerical solution of a Volterra integro-differential equation of parabolic type with memory term subject to initial boundary value ...difference method in combination with product trapezoidal ... See full document
21
Numerical solution for a class of multi order fractional differential equations with error correction and convergence analysis
... Caputo fractional derivatives and shifted Chebyshev ...for multi-order fractional differential equation is introduced and the convergence of the shifted Cheby- shev polynomials approximation ... See full document
22
Solving a Nonlinear Multi Order Fractional Differential Equation Using Legendre Pseudo Spectral Method
... The numerical solution of differential equations of in- teger order has been a hot topic in numerical and compu- tational mathematics for a long ...The solution of ... See full document
6
Hermite Wavelet Collocation Method for the Numerical Solution of Integral and Integro - Differential Equations
... integro- differential equation as many times as the order of the derivative involved in the equation from 0 to t for every time we integrate, and using the given initial ...this method is applicable ... See full document
17
ON THE NUMERICAL SOLUTION OF FRACTIONAL ORDER DIFFERENTIAL EQUATIONS USING TRANSFORMS AND QUADRATURE
... the fractional order differential equations of the form ...proposed numerical method for solving fractional differential ...our method to gain maximum ... See full document
8
Numerical Study of Fractional Differential Equations of Lane Emden Type by Method of Collocation
... The solution of the Lane-Emden problem, as well as other various linear and nonlinear singular initial value problems in quantum mechanics and astrophysics, is numerically challenging because of the singularity ... See full document
6
A Numerical Method for Solving Fuzzy Differential Equations With Fractional Order
... a numerical method for solving fuzzy differential equation of fractional order under gH-fractional Caputo ...this method is to approximate the solution of fuzzy ... See full document
7
A New Numerical Method to Solve Non Linear Fractional Differential Equations
... studyof fractional calculus confined as a pure theoretical area of ...arbitrary order derivative and integrals are very useful for explanation of properties of various materials in mathematical modelling ... See full document
6
Numerical solution of fractional order Riccati differential equation by differential quadrature method based on Chebyshev polynomials
... The fractional differential equations have received considerable interest in recent ...applications, fractional derivatives and fractional integrals provide more accu- rate models of the ... See full document
13
Legendre-collocation spectral solver for variable-order fractional functional differential equations
... A numerical method for the variable-order fractional functional differential equations (VO- FFDEs) has been ...This method is based on approximation with shifted Legendre ... See full document
12
wavelet collocation method for solving integro-differential equation.
... Wavelet collocation method for numerical solution nth order Volterra integro diferential equations (VIDE) by expanding the unknown functions, as series in terms of chebyshev ... See full document
7
Numerical solution methods for fractional partial differential equations
... The numerical solution of fractional partial differential equations has been developed in several ways by using the Finite Difference method (Chen, Liu & Burrage 2008, Murio ... See full document
464
An Algorithm for the Numerical Solution of System of Fractional Differential Equations
... v 0 , 1 , where D u is the derivate of u of order , D v is the derivative of v of order in the sense of Caputo. The algorithm is based on the fractional s s method. ... See full document
5
Vol 7, No 8 (2016)
... of numerical analysis because of the properties of ...based method of different families such as Daubechies, Coiflet, Biorthogonal Spline, Symlet wavelets etc are developed for the numerical ... See full document
10
Convergence of approximate solution of delay Volterra integral equations
... of sinc function that is necessary for the formulation of the delay integral ...equation. Sinc-collocation method is considered in Section ...of numerical solutions. In Section 6, the ... See full document
13
DGJ Method for Linear and Nonlinear Third order Fractional Differential Equation
... (Daftardar-Gejii-Jafaris) method is used to obtain nu- merical solution of the third order fractional differential ...DGJ method converges, the approximate solution is a ... See full document
10
Numerical solution of nonlinear fractional integro-differential equation by Collocation method
... Trapezoidal method, Legendre spline interpolation method, Adomain decomposition method, Taylor series method, Pi- card’s iterative method, Variational principle method, Iterative ... See full document
7
Numerical solution of gas solution in a fluid: fractional derivative model
... for numerical solution of conventional differential equations, their application for the fractional differential equations implies at least two difficulties in connection ... See full document
13
Numerical solution of fractional order logistic equations by fractional Eulers method
... The fractional logistic model can be acquired by using the fractional derivative operator on the logistic ...first order ordinary differential ...logistic differential is handled to ... See full document
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