This paper is devoted to develo** spectral solutions for the nonlinear fractional Klein–
Gordon equation. The typical collocation method and the tau method are employed for …

The B-spline function is made up of a set of smooth piecewise polynomials that are
controlled by a set of control points. A linear combination of B-spline basis of a particular …

The present paper deals with cubic B-spline approximation together with θ θ-weighted
scheme to obtain numerical solution of the time fractional advection diffusion equation using …

The B-spline or the basis spline function, is a piecewise polynomial function made up of
polynomials, its domain is subdivided by knots, and basis functions are non-zero on the …

Abstract The Klein-Gordon problem (KGP) is one of the interesting models that appear in
many scientific phenomena. These models are characterized by memory effects, which …

In this study, we present a numerical method that utilizes trigonometric cubic B-spline
functions to solve the time fractional gas dynamics equation, which is a key component in …

A B-spline function is a series of flexible elements that are managed by a set of control
points to produce smooth curves. By using a variety of points, these functions make it …

In this work, a new non-fragile based tracking controller design for fractional order systems
with non-linear uncertainty, unidentified external disturbances, and time-delay is …

In this paper, the authors propose and utilize a novel B-splines-based technique to solve
time fractional diffusion wave equations numerically. The present approach employs the …

In this paper, a pseudospectral method is proposed for solving the nonlinear time-fractional
Klein-Gordon and sine-Gordon equations. The method is based on the Sinc operational …