[PDF] Top 20 A New Numerical Technique for Solving Systems Of Nonlinear Fractional Partial Differential Equations
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A New Numerical Technique for Solving Systems Of Nonlinear Fractional Partial Differential Equations
... decades, fractional calculus has been enormously developed and taken on in many fields of scientific ...The fractional calculus by its tools remains a very suitable means for the resolution of the ... See full document
10
Using Homo Separation of Variables for Solving Systems of Nonlinear Fractional Partial Differential Equations
... for solving PDEs and ODEs (ordinary differential equations) with integer or fractional ...of systems of ...n-dimensional systems of FPDEs. This new approach is constructed ... See full document
9
Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation
... a new numerical method for solving the fractional Riccati differential equation is ...The fractional derivatives are described in the Caputo ...upon fractional-order ... See full document
16
From stochastic processes to numerical methods: a new scheme for solving reaction subdiffusion fractional partial differential equations
... Riemann-Liouville fractional derivative of order 1 − α. Equations of this form can be derived from a physically consistent theory of continuous time random walks [7], including extension to multiple ...The ... See full document
41
Numerical solution of fractional partial differential equations by numerical Laplace inversion technique
... a numerical method for solving fractional partial differential ...Stehfest’s numerical algorithm for calculating inverse Laplace transform to retrieve the time domain ...of ... See full document
18
Adomian Decomposition Method for Solving Highly Nonlinear Fractional Partial Differential Equations
... and nonlinear fractional partial differential ...The fractional derivatives are described in the Caputo ...the partial differential equations shows that the ... See full document
6
An Improved Numerical Algorithm for the Fractional Differential Equations and Its Application in the Fractional Order Nonlinear Systems
... Riemann-Liouville fractional derivative appears unsuitable to be treated by the Laplace transform technique in that it requires the knowledge of the non-integer order derivatives of the function at t = 0 ... See full document
9
A numerical technique based on operational matrices for solving nonlinear integro-differential equations
... for solving two types of integro-differential equations, system of nonlinear high order Volterra-Fredholm integro-differential equation(VFIDEs) and nonlinear fractional ... See full document
16
New approximate solutions to fractional nonlinear systems of partial differential equations using the FNDM
... The rest of this paper is organized as follows: In Section , we give some preliminaries and definitions of fractional calculus. In Sections and , the natural transform method is introduced. Section is devoted ... See full document
19
A new numerical scheme for solving systems of integro-differential equations
... integral equations, linear or nonlinear, appear in scientific appli- cations in engineering, physics, chemistry and populations growth models[4-6, 14, ...of systems of integral equations have ... See full document
12
Tension spline technique for the solution of fourth-order parabolic partial differential equation
... a new numerical method for obtaining smooth approximations for solving ho- mogeneous and nonhomogeneous parabolic partial differential equations based on nonpolynomial cubic ... See full document
7
A new fractional Jacobi elliptic equation method for solving fractional partial differential equations
... decades, fractional differential equations have been paid an increasing attention as they are widely used to describe various complex phenomena in many fields such as the fluid flow, signal processing, control ... See full document
11
Numerical Solution for Solving a System of Fractional Integro-differential Equations
... a new numerical method for solving a linear system of fractional integro-differential equations is ...The fractional derivative is considered in the Caputo ...proposed ... See full document
7
A Numerical Scheme for Solving Nonlinear Fractional Volterra Integro-Differential Equations
... Recently, new applications of the Bernoulli polynomials have also been found in mathematical physics, in connection with theory of Korteweg-de Vries equation [8], Lame equation [9] and in the study of vertex ... See full document
22
A fast numerical method for fractional partial differential equations
... Recently, new methods for solving FPDEs have been developed in the ...of fractional differential equa- tions ...the numerical solution of partial differential equations [28, ...for ... See full document
20
Numerical solution of nonlinear fractional Volterra-Fredholm integro-differential equations with mixed boundary conditions
... is solving nonlinear Volterra-Fredholm fractional integro-differential equations with mixed boundary ...convert fractional integro-differential equation to a type of ... See full document
7
Numerical solution of multi-order fractional differential equations via the sinc collocation method
... for solving linear and nonlinear multi-order fractional differential equations based on the new definition of fractional derivative which is recently presented by Khalil, ... See full document
13
Application of He's homotopy perturbation method for solving Sivashinsky equation
... in nonlinear problems has been developed by scientists and engineers, because this method continuously deforms the difficult problem under study into a simple problem which is easy to ...a technique to ... See full document
7
One Dimensional Explicit Tolesa Numerical Scheme for Solving First Order Hyperbolic Equations and Its Application to Macroscopic Traffic Flow Model
... Stability Analysis: A finite difference scheme is stable if the scheme do not allows the growth of error in the solution with different time level. Stability analysis is a useful tool for checking validity of a given ... See full document
19
The Linear, Nonlinear and Partial Differential Equations are not Fractional Order Differential Equations
... the fractional order derivative definitions used in the many ...for fractional order derivative in Karcı studies [15,16] and by using this method concludes in whether converting any differential ... See full document
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