Although attempts have been made to solve time-dependent differential equations using
homotopy perturbation method (HPM), none of the researchers have provided a universal …

In this paper, we are giving analytic approximate solutions to a class of nonlinear PDEs using
the homotopy analysis method (HAM). The Burgers, Fisher, Huxley, Burgers–Fisher and …

Background This study aimed to evaluate the effectiveness of DeepLabv3+with Squeeze-and-Excitation
(DeepLabv3+SE) architectures for segmenting the choroid in optical coherence …

This article aims to introduce a new linear positive operator with a parameter. Our focus lies
in analyzing the distinct characteristics and inherent properties exhibited by this operator. …

This study aims on proposing a new structure for constructing Bernstein-like bases. The
structure uses an auxiliary function and a shape parameter to construct a new family of bases …

The $\alpha$-Bernstein operators were initially introduced in the paper by Chen, X., Tan, J.,
Liu, Z., Xie, J. (2017) titled "Approximation of Functions by a New Family of Generalized …

Diabetes retinopathy prevention necessitates early detection, monitoring, and treatment.
Non-invasive optical coherence tomography (OCT) shows structural changes in the retinal layer…

A new iterative method is proposed to solve systems of linear algebraic equations, Ax= b.
The method is based on the concept of homotopy, where the system is transformed to an …

This paper introduces two new operators: the Kantorovich form and Bézier variant of sq-Bernstein
operators, building upon the sq-Bernstein operators presented in Nouri and Saeidian (…

Quantifying the smoothness of different layers of the retina can potentially be an important and
practical biomarker in various pathologic conditions like diabetic retinopathy. The purpose …