Editorial: track reliable computations and their applications
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- Editorial: track reliable computations and their applications
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Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
We examine a numerical method to approximate to a fractional diffusion equation with the Riesz fractional derivative in a finite domain, which has second order accuracy in time and space level. In order to approximate the Riesz fractional derivative, we ...
Numerical approximations and solution techniques for the space-time Riesz---Caputo fractional advection-diffusion equation
In this paper, we consider a space-time Riesz---Caputo fractional advection-diffusion equation. The equation is obtained from the standard advection-diffusion equation by replacing the first-order time derivative by the Caputo fractional derivative of ...
An asymptotic numerical method for singularly perturbed third-order ordinary differential equations with a weak interior layer
A class of singularly perturbed two point boundary value problems (BVPs) of convection-diffusion type for third-order ordinary differential equations (ODEs) with a small positive parameter (ε) multi-plying the highest derivative and a discontinuous ...
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