Convergence Analysis of the Balanced Implicit Method for the Wright-Fisher Model with No Drift

In this paper, we discuss the Balanced Implicit Method (BIM) of the Wright-Fisher model, and the convergence of this method for the Wright-Fisher model with no drift is proved in ๐ฟ1sense. Finally, we give an example to illustrate the convergence of the BIM. The numerical experiment shows that the convergence order is 1 2 theoretical results.

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Publication Details

Journal
International Journal of Mathematics Trends and Technology
Published
2024-11-30
DOI
https://doi.org/10.14445/22315373/ijmtt-v70i11p107
Primary Topic
Neural Networks and Applications
Type
article
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article

Convergence Analysis of the Balanced Implicit Method for the Wright-Fisher Model with No Drift

Jianguo Tan, Yaqi An
International Journal of Mathematics Trends and Technology
Neural Networks and Applications
article

Convergence Analysis of the Balanced Implicit Method for the Wright-Fisher Model with No Drift

Jianguo Tan, Yaqi An
article en

Abstract

In this paper, we discuss the Balanced Implicit Method (BIM) of the Wright-Fisher model, and the convergence of this method for the Wright-Fisher model with no drift is proved in ๐ฟ1sense. Finally, we give an example to illustrate the convergence of the BIM. The numerical experiment shows that the convergence order is 1 2 theoretical results.

International Journal of Mathematics Trends and TechnologyVol. 70(11)
Climate action, Reduced inequalities
Openalex Percentile: Top 76%
Neural Networks and Applications
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Convergence Analysis of the Balanced Implicit Method for the Wright-Fisher Model with No Drift โ€” Jianguo Tan, Yaqi An ยท International Journal of Mathematics Trends and Technology (2024) | TGRS Research Map | TGRS