Deep learning methods have gained considerable interest in the numerical solution of
various partial differential equations (PDEs). One particular focus is physics-informed neural …

In this study, we numerically investigate the solution of one-dimensional heat and advection-
diffusion equation by employing improvised quartic order cubic B-spline using Crank …

Saline oily wastewater is among the greatest environmental issues that requires effective
treatment methods. The new trend of using natural coagulants to treat saline oily wastewater …

A computational approach based on finite difference scheme and a redefined extended B-
spline functions is presented to study the approximate solution of time fractional advection …

The construction of Bézier curves and surfaces with shape parameters is one of the most
popular areas of research in CAD. In this paper, we present a novel shape-adjustable …

This research paper presents a numerical investigation of Troesch's problem using the
collocation method based on the cubic trigonometric B-Spline technique. Troesch's problem …

The dynamical attitude of the transmission for the nerve impulses of a nervous system, which
is mathematically formulated by the Atangana–Baleanu (AB) time-fractional FitzHugh …

Applicability of coagulation-flocculation process by the Orchis mascula tuber starch as a
novel natural coagulant was investigated for the first time in the treatment of oily-saline …

A trigonometric quintic B-spline method is proposed for the solution of a class of turning
point singularly perturbed boundary value problems (SP-BVPs) whose solution exhibits …

In this study, we propose a simple direct meshless scheme based on the Gaussian radial
basis function for the one-dimensional linear and nonlinear convection–diffusion problems …