[PDF] Top 20 Numerical solution of fractional partial differential equations by numerical Laplace inversion technique
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Numerical solution of fractional partial differential equations by numerical Laplace inversion technique
... based on Laguerre polynomial series expansion of the inverse function under the assump- tion that the Laplace transform is known on the real axis only. The main contribution of the paper is to provide computable ... See full document
18
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
Non polynomial quintic spline for numerical solution of fourth order time fractional partial differential equations
... exact solution is y(x, t) = (t + 1) sin ...absolute numerical error at t = 1 corresponding to n = 40, t = ...approximate solution is highly con- sistent with the analytical exact solution, ... See full document
22
Online Full Text
... investigated numerical solutions of generalized variable order fractional partial differential equations by using Bernstein ...Caputo differential derivative was adopted. Among ... See full document
8
A fast numerical method for fractional partial differential equations
... the Laplace transform method [17], the wavelet operational method [18–21], the Haar wavelet method [22], the Adomian de- composition method [23], the homotopy analysis method [24], the Legendre base method [25], ... See full document
20
Numerical Solution of Nonlinear System of Partial Differential Equations by the Laplace Decomposition Method and the Pade Approximation
... paper, Laplace decomposition method (LDM) and Pade approximant are employed to find approximate solutions for the Whitham-Broer-Kaup shallow water model, the coupled nonlinear reaction diffusion equations ... See full document
10
A New Numerical Technique for Solving Systems Of Nonlinear Fractional Partial Differential Equations
... nonlinear fractional partial differential ...nonlinear fractional partial differential equations is calculated in the explicit form of a power series with easily ... See full document
10
Numerical solution of fractional order Riccati differential equation by differential quadrature method based on Chebyshev polynomials
... of fractional differential equations have been investigated in [, ...the fractional differential equations have no ex- act ...the Laplace transform method [], the Bessel function method ... See full document
13
Numerical Solution for Solving a System of Fractional Integro-differential Equations
... new numerical method for solving a linear system of fractional integro-differential equations is ...The fractional derivative is considered in the Caputo ...proposed technique is ... See full document
7
Numerical solution of gas solution in a fluid: fractional derivative model
... of fractional order integration and differentiation, is known to provide an excellent setting for capturing in a model framework concerned with real–world problems in a variety of disciplines from physics, ... See full document
13
A Meshless Method for Numerical Solution of Fractional Differential Equations
... solve fractional differential ...generalized differential transformation ...exact solution by use of Radial Basis Functions ...solving partial differential ... See full document
8
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 ...the solution with minimum cost of ...the ... See full document
8
Unequally spaced knot techniques for the numerical solution of partial differential equations
... the solution of a partial differential equation varies very rapidly over a small part of the domain but changes slowly over the rest of the ...optimal numerical performance is ...the ... See full document
190
An Algorithm for the Numerical Solution of System of Fractional Differential Equations
... nonlinear fractional differential equations do not have analytic solutions, so approximations and numerical techniques must be used [9-12 ...approximation solution to linear and non ... See full document
5
Numerical inversion of Laplace transform via wavelet in ordinary differential equations
... When we evaluate many engineering systems described by differential equations via Laplace transformation, fractional functions or transcendental functions of s will be formed. For example, ... See full document
9
A numerical method for partial fractional Fredholm integro-differential equations
... a solution to be deter- ...the differential and integral parts of a PFFIDE by their operational matrix representations and then convert it to a corresponding system of linear algebraic ...algebraic ... See full document
11
The numerical solution of boundary value problems in partial differential equations
... associated Laplace*s equation;* 'hen this equation ooours In physical problems* It usually desorlbes non-transient phenomena* ...a solution (possibly non-unique) exists* can be shown to require boundary ... See full document
157
Solution to time fractional generalized KdV of order 2q+1 and system of space fractional PDEs
... solving partial fractional differential equations, the Laplace and Fourier transformations on the one hand and separation of variables on the other ...the fractional (G 0 /G)- ... See full document
10
On numerical solutions of fuzzy differential equations
... 3. Numerical Solutions of a Fuzzy Initial Value Problem Consider the first order Fuzzy Initial Value Problem ...three numerical methods: Euler method, Adomian method and Homotopy Analysis ...approximate ... See full document
9
A numerical study of fractional order reverse osmosis desalination model using Legendre wavelet approximation
... decades, fractional calculus has caught much attention due to its ability to provide an accurate description of different nonlinear ...the fractional differential equations have gained ... See full document
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