195 citations · 1.6k across the 45 of their papers we have counts for
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Anharmonic oscillator and the optimized basis expansion
Pouria Pedram
We introduce various optimization schemes for highly accurate calculation of the eigenvalues and the eigenfunctions of the one-dimensional anharmonic oscillators. We present severa…
Modification of Coulomb's law in closed spaces
Pouria Pedram
We obtain a modified version of Coulomb's law in two- and three-dimensional closed spaces. We demonstrate that in a closed space the total electric charge must be zero. We also dis…
Using Spectral Method as an Approximation for Solving Hyperbolic PDEs
P. Pedram, M. Mirzaei, S. S. Gousheh
We demonstrate an application of the spectral method as a numerical approximation for solving Hyperbolic PDEs. In this method a finite basis is used for approximating the solutions…
Refined Spectral Method as an extremely accurate technique for solving 2D time-independent Schrodinger equation
P. Pedram, M. Mirzaei, S. S. Gousheh
We present a refinement of the Spectral Method by incorporating an optimization method into it and generalize it to two space dimensions. We then apply this Refined Spectral Method…
Optimized basis expansion as an extremely accurate technique for solving time-independent Schrödinger equation
P. Pedram, M. Mirzaei, S. S. Gousheh
We use the optimized trigonometric finite basis method to find energy eigenvalues and eigenfunctions of the time-independent Schrodinger equation with high accuracy. We apply this…