Authors : Dr. Ismail Abbas

Volume/Issue : Volume 6 - 2021, Issue 5 - May

Google Scholar :

Scribd :

We introduce and define a theory of the Bstochastic transition matrix other than the Markov stochastic transition matrix. We also define and explain the main assumptions and principles essential to its validity as well as its inherent characteristics. We compare the characteristics of matrices B and Markov matrix and show that both matrices can be real or imaginary and that their chains work in both real and imaginary spaces. In particular, matrix B has a striking advantage of being easy to formulate and simple to manage for 2D and 3D spatiotemporal diffusion problems with any arbitrary boundary conditions BC and any arbitrary configuration of source / sink terms such as case of Poisson and Laplace partial differential equations as well as heat diffusion PDE. Finally, we propose a modeling of the 16 vertices of the 4D hypercube in the cartisian space x, y, z, w by a super symmetrical matrix B of 16 inputs and 16 outputs.


Paper Submission Last Date
30 - September - 2021

Paper Review Notification
In 1-2 Days

Paper Publishing
In 2-3 Days

Never miss an update from Papermashup

Get notified about the latest tutorials and downloads.

Subscribe by Email

Get alerts directly into your inbox after each post and stay updated.

Subscribe by RSS

Add our RSS to your feedreader to get regular updates from us.