Investigation of the solutions of the coupled viscous Burgers system is crucial for realizing
and understanding some physical phenomena in applied sciences. Particularly, Burgers …

This study presents a new variant of the hybrid block methods (HBMs) for solving initial
value problems (IVPs). The overlapping hybrid block technique is developed by changing …

In this study, we considered the model of the surface of a thin sheet of viscous liquid which is
known as the Buckmaster equation (BME), and presented a new graph-theoretic polynomial …

This article addresses the development and analysis of an efficient optimized hybrid block
method for integrating general second order initial value problems (IVPs) of ordinary …

In this paper, we have developed a novel three step second derivative block method and
coupled it with fourth order standard compact finite difference schemes for solving time …

In this study, the authors present a uniform algebraic trigonometric tension B‐spline‐based
differential quadrature method combined with an optimized hybrid block method to …

The present study focuses on numerical simulation of generalized FitzHugh-Nagumo
equation employing shifted Chebyshev spectral collocation method (SCSCM). The …

This article looks for a reliable numerical technique to solve the Allen–Cahn equation using
the Caputo time-fractional derivative. The fractional derivative semi-discretization approach …

In this paper, the numerical solution of a mixed derivative type Hunter–Saxton equation is
addressed. A given equation is discretized transforming it into a system of ODEs with the use …

A novel Haar scale-3 wavelet collocation technique is proposed in this study for dealing with
a specific type of parabolic Buckmaster second-order non-linear partial differential equation …