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Novel parameter estimation techniques for a multi-term fractional dynamical epidemic model of dengue fever
An inverse problem to identify parameters for the single-term (and multi-term) fractional-order system of an outbreak of dengue fever is considered....
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Two alternating direction implicit spectral methods for two-dimensional distributed-order differential equation
In this paper, two alternating direction implicit Galerkin-Legendre spectral methods for distributed-order differential equation in two-dimensional...
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Analysis and numerical simulation for a class of time fractional diffusion equation via tension spline
The numerical solution for a class of time fractional diffusion equation via tension spline is studied. Time fractional derivative is considered in...
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Two temporal second-order H1-Galerkin mixed finite element schemes for distributed-order fractional sub-diffusion equations
In this paper, a special point is found for the interpolation approximation of the distributed order fractional derivatives to achieve at least...
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Numerical algorithm for solving the Stokes’ first problem for a heated generalized second grade fluid with fractional derivative
In this paper, based on the second-order compact approximation of first-order derivative, the numerical algorithm with second-order temporal accuracy...
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Novel analytical and numerical techniques for fractional temporal SEIR measles model
In this paper, a fractional temporal SEIR measles model is considered. The model consists of four coupled time fractional ordinary differential...
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Solving mixed classical and fractional partial differential equations using short–memory principle and approximate inverses
The efficient numerical solution of the large linear systems of fractional differential equations is considered here. The key tool used is the short–me...
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Numerical method with high order accuracy for solving a anomalous subdiffusion equation
In this paper, a numerical method with second order temporal accuracy and fourth order spatial accuracy is developed to solve a anomalous...
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A new reliable algorithm based on the sinc function for the time fractional diffusion equation
This paper deals with the numerical solution of time fractional diffusion equation. In this work, we consider the fractional derivative in the sense...
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Fast, accurate and robust adaptive finite difference methods for fractional diffusion equations
The computation time required by standard finite difference methods with fixed timesteps for solving fractional diffusion equations is usually very...
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Numerical solution of fractional advection-diffusion equation with a nonlinear source term
In this paper we use the Jacobi collocation method for solving a special kind of the fractional advection-diffusion equation with a nonlinear source...
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Finite Difference Methods for Space Fractional Advection-Diffusion Equations with Variable Coefficients
In this paper, the implicit difference scheme is presented to solve a class of space fractional advection-diffusion equations with variable...
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Numerical approximation for a variable-order nonlinear reaction–subdiffusion equation
Fractional reaction–subdiffusion equations are widely used in recent years to simulate physical phenomena. In this paper, we consider a...
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He’s Variational Iteration Method for Solving Convection Diffusion Equations
The variational iteration method is applied to solve convection diffusion equations. These equations play an important role in mathematical,physical...
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An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives
Traditional methods for the numerical approximation of fractional derivatives have a number of drawbacks due to the non-local nature of the...
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Detailed Error Analysis for a Fractional Adams Method
We investigate a method for the numerical solution of the nonlinear fractional differential equation D * α y ( t )= f ( t , y ( t )), equipped with initial...
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Numerical solution of fractional order differential equations by extrapolation
We present an extrapolation type algorithm for the numerical solution of fractional order differential equations. It is based on the new result that...