The interfacing of measurement instrumentation to small computers for the purpose of online
data acquisition has now become standard practice in the modern laboratory. Computerized …

In the current study, a numerical scheme based on the Haar wavelet is proposed to solve a
coupled system of fractional-order integral–differential equations. The proposed method is to …

The super-diffusion model is suggested for peak-preserving smoothing. In this model, the
time derivative on the left of the classical diffusion model is replaced with the time fractional …

Combining segmentation, classification, and time-fractional diffusion filtering, an excellent
smoothing method of peak-preserving is proposed. First, the signal is divided into equal …

In this paper, time fractional Riesz space telegraph partial differential equation is proposed.
By applying the variable separation condition, the main telegraph equation, which consists …

Anisotropic diffusion filtering for signal smoothing as a low-pass filter has the advantage of
the edge-preserving, ie, it does not affect the edges that contain more critical data than the …

The generalized time‐fractional Fisher's equation is a substantial model for illustrating the
system's dynamics. Studying effective numerical methods for this equation has considerable …

The nonlinear diffusion model is considered a suitable approach to reduce the noise in
signals. The time-fractional nonlinear diffusion equation has an adjustable time-fractional …

In the current study, an approximate scheme is established for solving the fractional partial
differential equations (FPDEs) with Volterra integral terms via two‐dimensional block‐pulse …

In this paper, based on Alikhanov's L 2-1 _ σ 1 σ high-order approximation and anisotropic
finite element methods, a fully discrete scheme for time fractional variable coefficient …