[PDF] Top 20 The Use of Cubic Splines in the Numerical Solution of Fractional Differential Equations
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The Use of Cubic Splines in the Numerical Solution of Fractional Differential Equations
... of fractional boundary value problem is presented using cubic spline method combined with shooting ...the fractional derivative into a system of ordinary differential equations is used for ... See full document
17
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
A Meshless Method for Numerical Solution of Fractional Differential Equations
... meshless numerical scheme for solving fractional differential equations is ...by use of Radial Basis Function (RBF) collocation ...a fractional differential equation to a ... See full document
8
Numerical solution of multi-order fractional differential equations via the sinc collocation method
... multi-order fractional differential equations based on the new definition of fractional derivative which is recently presented by Khalil, ...of fractional derivative, ...the ... See full document
13
Numerical solution for a class of multi order fractional differential equations with error correction and convergence analysis
... the fractional Euler–Lagrange equation in terms of the Caputo fractional ...a fractional derivative with Mittag–Leffler type ...a fractional derivative with exponential ...a fractional ... See full document
22
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
ON THE NUMERICAL SOLUTION OF FRACTIONAL ORDER DIFFERENTIAL EQUATIONS USING TRANSFORMS AND QUADRATURE
... solving fractional order differ- ential ...to use some numerical methods to approximate the solution of fractional order differential ... See full document
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Numerical solution of fractional order Riccati differential equation by differential quadrature method based on Chebyshev polynomials
... of fractional derivatives has been derived. The fractional derivatives are described in the Caputo ...approximate numerical solu- tions of fractional Riccati differential ...Our ... See full document
13
Numerical Solution of Functional Integral and Integro Differential Equations by Using B Splines
... to numerical solution of integro-differential equa- ...integral equations and integro differential equations with numerical ... See full document
5
Numerical solution of fractional partial differential equations by numerical Laplace inversion technique
... differential equations are found to be an effective tool to describe certain phys- ical phenomena such as damping laws, rheology, diffusion processes, and so ...solve fractional differential ...the ... See full document
18
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 wavelets are ... See full document
6
Online Full Text
... and numerical algorithm of fractional ...of fractional differential equations are usually represented by some special functions, such as Green function, Mittag-Leffler function, and so ... See full document
12
A New Numerical Method to Solve Non Linear Fractional Differential Equations
... studyof fractional calculus confined as a pure theoretical area of ...by fractional order differential equations [2, 3, ...many fractional differential equations cannot be ... See full document
6
On the use of splines in the numerical solution of hyperbolic partial differential equations
... partial differential equation is that the schemes produced are rather more complex and are also likely to have a larger ...incorporating splines since the spline function is, by definition, a piecewise ... See full document
125
Extended cubic B splines in the numerical solution of time fractional telegraph equation
... differential equations have generated significant interest due to their appear- ance in various ...fields. Fractional differential equation models are more effective for the de- scription of certain ...example, ... See full document
20
Numerical Solution of System of Fractional Delay Differential Equations Using Polynomial Spline Functions
... the solution of system of fractional delay differential equ- ...the use of suitable spline functions of polynomial ...investigated. Numerical example is given to illustrate the ... See full document
9
Numerical solution methods for fractional partial differential equations
... and numerical results are ...the fractional derivative, again based on the Riemann–Liouville fractional derivative ...the fractional deriva- tive which is Spline method as in (Pedas & ... See full document
464
Indirect RBFN method with thin plate splines for numerical solution of differential equations
... ical solution schemes since it is a steady state flow in which the inertia terms do not vanish identically (as they do in flow between infinite parallel plates or Poiseuille flow) and an exact solution can ... See full document
18
Local Solution of Delay Fractional Differential Equations
... a solution. In order to prove the uniqueness of this solution, we start with arguments similar to those of the proof of Theorem ...we use the same polynomial T defined in (4) and the same operator N ... See full document
6
Approximate Solution of Fuzzy Fractional Differential Equations
... The organization of the paper is as follows. In Section 2 we list some basic definitions of fuzzy numbers and fractional derivative and integral. Section 3 and Section 4 contain some theorems about fuzzy initial ... See full document
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