The aim of this paper is to use the second derivative of Chebyshev polynomials (SDCHPs)
as basis functions for solving linear and nonlinear boundary value problems (BVPs). Then …

This research work aims to theoretically examine the influence of various factors on the three-
dimensional nanofluid flow. The study includes parameters such as temperature ratio …

Complex systems, as interwoven miscellaneous interacting entities that emerge and evolve
through self-organization in a myriad of spiraling contexts, exhibit subtleties on global scale …

In the present study, we introduce a collocation approach utilizing quintic B-spline functions
as bases for solving systems of Lane Emden equations which have various applications in …

Herein, we provide an efficient spectral Galerkin algorithm, according to a special type of
shifted Legendre basis for finding a semi-analytic solution to the Liouville-Caputo fractional …

This paper presents a numerical procedure for handling delay fractional differential
problems where the derivative is defined using the M-fractional approach. The proposed …

The principal objective of this paper is to propose a numerical scheme to solve linear and
nonlinear third-kind Volterra integral equations (VIEs). The method approximates the …

The unstable time fractional Schrödinger model (UTFSM) is studied through the
development of disturbances in marginally stable or unstable media. A modified Sardarsub …

This paper established a functional design of the spectral Tau method (STM) upon the first
derivatives of Chebyshev polynomials (FDCHPs). A new linearization relation has been …