[PDF] Top 20 Solving a Nonlinear Multi Order Fractional Differential Equation Using Legendre Pseudo Spectral Method
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Solving a Nonlinear Multi Order Fractional Differential Equation Using Legendre Pseudo Spectral Method
... of differential equations of in- teger order has been a hot topic in numerical and compu- tational mathematics for a long ...of fractional differential equations has been recently studied by ... See full document
6
Numerical solution of multi-order fractional differential equations via the sinc collocation method
... collocation method is proposed for solving linear and nonlinear multi-order fractional differential equations based on the new definition of fractional derivative ... See full document
13
A shifted Legendre spectral method for fractional order multi point boundary value problems
... Spectral tau method is similar to Galerkin methods in the way that the differential equation is enforced. However, none of the test functions need to satisfy the boundary conditions. Hence, a ... See full document
19
Solving multi-order fractional differential equations by reproducing kernel Hilbert space method
... The rest of paper is organized as follows. In Section 2, we present some important definitions and preparations used in this paper. In Section 3, we construct and de- velop algorithms for solving nonlinear ... See full document
21
Numerical Solution for the Fractional Wave Equation Using Pseudo Spectral Method Based on the Generalized Laguerre Polynomials
... [1]. Fractional derivatives provide an excellent instrument for the description of memory and hereditary properties of various materials and ...of nonlinear fractional differential equations ... See full document
8
Fractional-order Legendre wavelets and their applications for solving fractional-order differential equations with initial/boundary conditions
... of fractional differential equations do not have exact solution, in this case, finding numerical solutions has become the destination of many mathemati- cians, some of these methods include: Fourier transforms [14], ... See full document
24
Spectral Tau method for solving general fractional order differential equations with linear functional argument
... advanced differential equations, we refer the readers to references [24] and [25], so the solution of the proposed formula (1) ...be multi-term of fractional order derivatives and the terms ... See full document
16
The spectral iterative method for Solving Fractional-Order Logistic Equation
... iterative method and in Sec. 3.2 we give a description of shifted fractional-order Legendre ...collocation method to obtain the approx- imate solution for differential ... See full document
9
Solving nonlinear Volterra integro differential equations of fractional order by using Euler wavelet method
... wavelet method is a new numerical method for solving the fractional equations and it needs a small amount of ...the method will produce a singu- larity in the case of certain increased ... See full document
16
A fractional order Legendre collocation method for solving the Bagley Torvik equations
... current spectral method, such as the Galerkin, tau, and pseudospectral methods can be found in the ‘weighted residual method’ of Finlayson and Scriven ...Nowadays, spectral methods are efficient ... See full document
14
Differential Quadrature Method for Fractional Logistic Differential Equation
... quadrature method was introduced by Richard Bellman and his associates in the early of 1970s, following the ideas of integral ...quadrature method is that any derivative at a mesh point can be approximated ... See full document
7
Existence results for nonlinear fractional differential equation with nonlocal integral boundary conditions
... the differential equations with a deviating argument are generalization of differential equations in which we permit the unknown function and its derivative to appear under different values of the ...of ... See full document
12
Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation
... numerical method for solving the fractional Riccati differential equation is ...The fractional derivatives are described in the Caputo sense. The method is based upon ... See full document
16
A modified series solution method for fractional integro differential equations
... these nonlinear problems are tackled by the methods which propose to linearize the given nonlinear ...solve nonlinear equations without linearizing the ...series method for solving a ... See full document
8
The Hirota's direct method and multi-soliton solutions
... ingenious method that is geared to finding multi-soliton solutions to evolution equations ...the method is less general than the IST method since it does not solve initial-value problem, but ... See full document
15
Fourier Spectral Method for Solving Fractional order System
... The reaction-diffusion model (2) has been shown in [38] to have a unique and globally stable attractor. A lot of two- species models with various functional responses or Holling type-II, reaction-diffusions, and delays ... See full document
11
A Generalized Fractional Power Series for Solving a Class of Nonlinear Fractional Integro-Differential Equation
... A Generalized Fractional Power Series for Solving a Class of Nonlinear Fractional Integro-Differential Equation.. Sirunya Thanompolkrang 1 and Duangkamol Poltem 1,2, *.[r] ... See full document
7
A method for solving first order fuzzy differential equation
... val differential equation or ordinary differential ...two differential equations and solutions of each fuzzy differential equations in 0- cut and 1-cut cases are ... See full document
7
Operational Matrix Method for the Variable Order Time Fractional Diffusion Equation Using Legendre Polynomials Approximation
... for solving the variable order time fractional diffusion equation is finite difference ...difference method to investigate stability and convergence of approximation for the variable ... See full document
5
A Reliable Treatment of Iterative Laplace Transform Method for Fractional Telegraph Equations
... space-time fractional telegraph Eq. (19) reduces to space fractional telegraph equation and the solution is same as obtained by Momani [27] using ADM, Odibat and Momani [37] using GDTM, ... See full document
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