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math.AP2023★ 30 cited
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…
math.AP2023★ 1 cited
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…
math.NA2023
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…