M Higazy, A El-Mesady, AMS Mahdy… - Journal of Function …, 2021 - Wiley Online Library
This paper is devoted to the model of Lassa hemorrhagic fever (LHF) disease in pregnant women. This disease is a biocidal fever and epidemic. LHF disease in pregnant women has …
M Abdelhakem, H Moussa - Alexandria Engineering Journal, 2023 - Elsevier
The pseudo-spectral method is used as a technique to employ the first derivative of the well- known Legendre polynomials (FDLs) as novel basis functions. Then, the FDLs Gauss …
In this work, a technique for finding approximate solutions for ordinary fraction differential equations (OFDEs) of any order has been proposed. The method is a hybrid between …
A new differentiation technique, fractional pseudospectral shifted Legendre differentiation matrices (FSL D-matrices), was introduced. It depends on shifted Legendre polynomials …
The selection of appropriate geometrical characteristics of enclosure has salient influence on performance of different thermal engineering processes and devices like …
We introduce new differentiation matrices based on the pseudospectral collocation method. Monic Chebyshev polynomials (MCPs) were used as trial functions in differentiation …
In this paper, our target is to implement and analyze numerical algorithms for the numerical solutions of initial and boundary third-order singular-type equations, and in particular the …
An efficient technique, called pseudo-Galerkin, is performed to approximate some types of linear/nonlinear BVPs. The core of the performance process is the two well-known weighted …
New modified shifted Chebyshev polynomials (MSCPs) have been constructed over the interval [α, β]. These polynomials are utilized as basis functions with the application of the …