Authors :
Ismail Abbas
Volume/Issue :
Volume 9 - 2024, Issue 4 - April
Google Scholar :
https://tinyurl.com/585aj7ud
Scribd :
https://tinyurl.com/mtdkmjex
DOI :
https://doi.org/10.38124/ijisrt/IJISRT24APR1768
Abstract :
The classical finite difference method for
solving time-dependent partial differential equations has
become quite tedious and requires the use of off-the-shelf
algorithms such as those in MATLAB. The treatment by
finite difference method then solution of the n resulting
first order algebraic equations is quite difficult since the
underlying matrix is singular. We propose an
alternative revolutionary statistical technique using
Bmatrix chains, which are a product of the Cairo
techniques. This technique is valid for both classical
macroscopic physics such as the heat diffusion equation
and modern microscopic quantum mechanics such as
Schrödinger's PDE. He completely neglects partial
differential equations as if they never existed. The
numerical results of the proposed numerical statistical
method show stability, accuracy and superiority over
conventional PDE methods.
The classical finite difference method for
solving time-dependent partial differential equations has
become quite tedious and requires the use of off-the-shelf
algorithms such as those in MATLAB. The treatment by
finite difference method then solution of the n resulting
first order algebraic equations is quite difficult since the
underlying matrix is singular. We propose an
alternative revolutionary statistical technique using
Bmatrix chains, which are a product of the Cairo
techniques. This technique is valid for both classical
macroscopic physics such as the heat diffusion equation
and modern microscopic quantum mechanics such as
Schrödinger's PDE. He completely neglects partial
differential equations as if they never existed. The
numerical results of the proposed numerical statistical
method show stability, accuracy and superiority over
conventional PDE methods.
