30 citations · 31 across the 5 of their papers we have counts for
5 papers
Advancements in Spectral Collocation Methods for High-Order Eigenvalue Problems
Sameh Gana
This paper focuses on computing spectral solutions for high-order eigenvalue problems using an efficient discretization method based on Chebfun spectral discretization algorithms a…
Exploring the Pseudo-modes of Schrödinger Operators with Complex Potentials: A Focus on Resolvent Norm Estimates and Spectral Stability
Sameh Gana
This paper aims to investigate the pseudo-modes of the one-dimensional Schrödinger operator with complex potentials, focusing on the behavior of the resolvent norm along specific c…
Exact Solutions for Nonlinear Partial Differential Equations: A Fusion of Classical Methods and Innovative Approaches
Noureddine Mhadhbi, Sameh Gana, Mazen Fawaz Alsaeedi
This article demonstrates how variation of parameters can be successfully implemented in combination with other classical techniques, such as the method of characteristics, to deri…
Classes of second order nonlinear partial differential equations reducible to first order
Noureddine Mhadhbi, Sameh Gana, Hamad Khalid Alharbi
In this paper, we present new techniques for solving a large variety of partial differential equations. The proposed method reduces the PDEs to first order differential equations k…
Numerical computation of spectral solutions for Sturm-Liouville eigenvalue problems
Sameh Gana
This paper focuses on the study of Sturm-Liouville eigenvalue problems. In the classical Chebyshev collocation method, the Sturm-Liouville problem is discretized to a generalized e…