THE PROBLEM OF ACCELERATING THE ITERATION PROCESS IN SOLUTION OF THE DIRAC EQUATION

Abdunazarov Rabimkul; Sharipova Sadoqat; Kudaikulov Anarbay Kudaikulovich

THE PROBLEM OF ACCELERATING THE ITERATION PROCESS IN SOLUTION OF THE DIRAC EQUATION

Authors

Abdunazarov Rabimkul Senior Lecturer, Department of Applied Mathematics Jizzakh Branch of the National University of Uzbekistan
Sharipova Sadoqat Senior Lecturer, Department of Applied Mathematics Jizzakh Branch of the National University of Uzbekistan
Kudaikulov Anarbay Kudaikulovich Doctor of Physical and Mathematical Sciences, Academician Institute of Mechanics and Engineering Science Committee of Science Ministry of Science and Higher Education, Almaty

Keywords:

Dirac equations, eigenvalues, eigenfunctions, Dirac systems, successive approximation method.

Abstract

This paper proposes an accelerated algorithm for solving the Dirac equation. The advantage of this method is that, thanks to the successful organization of the iterative process, a significant part of the found approximate solution is expressed through an elementary function.

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Published

2024-05-25

How to Cite

Abdunazarov Rabimkul, Sharipova Sadoqat, & Kudaikulov Anarbay Kudaikulovich. (2024). THE PROBLEM OF ACCELERATING THE ITERATION PROCESS IN SOLUTION OF THE DIRAC EQUATION. Web of Discoveries: Journal of Analysis and Inventions, 2(5), 105–111. Retrieved from http://webofjournals.com/index.php/3/article/view/1402