2026 MCM Problem A: Modeling Smartphone Battery Drain

Presentation Year

2026

College or Department

College of Natural Resources & Sciences

Short Description of your Research or Creative Project (700 characters or less)

This study develops a continuous-time model of smartphone battery discharge incorporating activity-dependent current demand and temperature-driven degradation. Simulations evaluate battery performance under common usage scenarios and varying states of health. Results indicate that high-energy activities significantly accelerate depletion, while battery aging and elevated temperatures reduce overall runtime. Model predictions align with benchmark data and observed usage patterns, demonstrating the framework’s ability to replicate realistic discharge behavior. The model provides a practical approach for estimating battery life and assessing the impact of user behavior and thermal conditions.

Permission to Publish Work

Yes

Presentation File Upload

mathematics-juarez-jonathan-david-193703-3x4.pdf (1.6 MB)

Primary Contact: First Name

Jonathan David

Primary Contact: Last Name

Juarez

Primary Contact: Email

jdj58@humboldt.edu

Primary Contact: I am a

Undergraduate Student

Primary Contact: Phone Number

7073623778

Indicate File Dimensions

4'x3'