We present a collocation approach based on redefined cubic B-spline (RCBS) functions and
finite difference formulation to study the approximate solution of time fractional Allen–Cahn …

A B-spline is defined by the degree and quantity of knots, and it is observed to provide a
higher level of flexibility in curve and surface layout. The extended cubic B-spline (ExCBS) …

We present a new approach depending on reproducing kernel method (RKM) for time-
fractional Kawahara equation with variable coefficient. This approach consists of obtaining …

In this paper, we present an attractive reliable numerical approach to find an approximate
solution of the time‐fractional advection–diffusion equation (FADE) under the Atangana …

We develop a numerical scheme for finding the approximate solution for one-and two-
dimensional multi-term time fractional diffusion and diffusion-wave equations considering …

This research work is concerned with the new numerical solutions of some essential
fractional cancer tumor models, which are investigated by using reproducing kernel Hilbert …

The fractional-order nonlinear Allen Cahn problem frequently appears in the process of
phase separation in multi-component alloy systems, including order-disorder transitions …

In this paper, reproducing kernel interpolation collocation method is explored for nonlinear
fractional integral differential equations with Caputo variable order. In order to testify the …

Time-fractional nonlinear partial differential equations (TFNPDEs) with proportional delay
are commonly used for modeling real-world phenomena like earthquake, volcanic eruption …

In the present paper, reproducing kernel method (RKM) is introduced, which is employed to
solve singularly perturbed convection-diffusion parabolic problems (SPCDPPs). It is …