# Applied Mathematics Commons™

7,820 Full-Text Articles 9,641 Authors 3,036,534 Downloads 249 Institutions

## All Articles in Applied Mathematics

7,820 full-text articles. Page 1 of 285.

Hitch Cart “Landing Gear”, 2024 California Polytechnic State University, San Luis Obispo

#### Hitch Cart “Landing Gear”, Rebekah White, Jose Raygoza, Randy Hernandez, Brandon Leon

##### Mechanical Engineering

This report aims to allow our sponsor, to review our design process of the Hitch Cart Landing Gear Prototype. In the design overview section of this report, we discuss the primary design modifications we made to the wheel mechanism of the existing hitch cart prototype, including the addition of the ACME screws and the folding brackets. This allows our sponsor to see the intended improvements made to the past prototype and understand the primary goal of our project. Then, in the implementation section, we cover the entire manufacturing process to allow our sponsor to understand what manufacturing steps must be …

On Weak Solutions And The Navier-Stokes Equations, 2024 University of Arkansas, Fayetteville

#### On Weak Solutions And The Navier-Stokes Equations, Aryan Prabhudesai

##### Mathematical Sciences Undergraduate Honors Theses

In this paper, I will discuss a partial differential equation that has solutions that are discontinuous. This example motivates the need for distribution theory, which will provide an interpretation of what it means for a discontinuous function to be a “solution” to a PDE. Then I will give a detailed foundation of distributions, including the definition of the derivative of a distribution. Then I will introduce and give background on the Navier-Stokes equations. Following that, I will explain the Millennium Problem concerning global regularity for the Navier-Stokes equations and share mathematical results regarding weak solutions. Finally, I will go over …

(R2070) Poisson-Exponentiated Weibull Distribution: Properties, Applications And Extension, 2024 St. Thomas College, Palai

#### (R2070) Poisson-Exponentiated Weibull Distribution: Properties, Applications And Extension, Alphonsa George, Dais George

##### Applications and Applied Mathematics: An International Journal (AAM)

In this article, we introduce a new member of the Poisson-X family namely, the Poisson-exponentiated Weibull distribution. The statistical as well as the distributional properties of the new distribution are studied, and the performance of the maximum likelihood method of estimation is verified by a simulation study. The flexibility of the distribution is illustrated by a real data set. We develop and study a reliability test plan for the acceptance or rejection of a lot of products submitted for inspection when their lifetimes follow the new distribution. A real data example is also given to illustrate the feasibility of the …

Modified Optimal Homotopy Asymptotic Method For Kdv Family Of Equations, 2024 National University of Computer & Emerging Sciences - FAST Lahore, Pakistan

#### Modified Optimal Homotopy Asymptotic Method For Kdv Family Of Equations, Mubashir Qayyum, Muhammad Faisal, Naveed Imran

##### International Journal of Emerging Multidisciplinaries: Mathematics

In this manuscript a hybrid of optimal homotopy asymptotic method (OHAM) with Daftardar - Jafari (DJ) polynomials has been introduced for time dependent KdV family of equations. Proposed methodology is applied to (1+1) and (2+1) soliton KdV equations and results are compared with classical OHAM. Analysis reveals that proposed modification is an effective way of getting better accuracy with less computational cost, and can be applied to more complex phenomena.

Time Scale Separation In Life-Long Ovarian Follicles Population Dynamics Model, 2024 INRAE, CNRS, Université de Tours, PRC, 37380, Nouzilly, France

#### Time Scale Separation In Life-Long Ovarian Follicles Population Dynamics Model, Romain Yvinec, Frédérique Clément, Guillaume Ballif

##### Biology and Medicine Through Mathematics Conference

No abstract provided.

Multi-Type Branching Processes In Time-Varying Environments, 2024 Columbia University

#### Multi-Type Branching Processes In Time-Varying Environments, Arash Jamshidpey

##### Biology and Medicine Through Mathematics Conference

No abstract provided.

Benefit Of Medication Reconciliation Practices On Patient Health Outcomes In A Healthcare Setting, 2024 Virginia Commonwealth University

#### Benefit Of Medication Reconciliation Practices On Patient Health Outcomes In A Healthcare Setting, Helen Harris, David Petrulis, Lauren Trepp, Bryan Chong, Jillian Haas, David Chan, Laura Ellwein Fix

##### Biology and Medicine Through Mathematics Conference

No abstract provided.

A Model Of Oocyte Population Dynamics For Fish Oogenesis, 2024 INRAE (Institut national de recherche pour l’agriculture, l’alimentation et l’environnement)

#### A Model Of Oocyte Population Dynamics For Fish Oogenesis, Louis Fostier, Frédérique Clément, Romain Yvinec, Violette Thermes

##### Biology and Medicine Through Mathematics Conference

No abstract provided.

Modeling Fast Information And Slow(Er) Disease Spreading: A Geometric Analysis, 2024 University of Sassari

#### Modeling Fast Information And Slow(Er) Disease Spreading: A Geometric Analysis, Iulia Martina Bulai, Mattia Sensi, Sara Sottile

##### Biology and Medicine Through Mathematics Conference

No abstract provided.

Reaction-Diffusions System Simulated On Irregular Shapes And Surfaces Model Petal Spot Patterns In Monkeyflower Hybrids, 2024 William & Mary

#### Reaction-Diffusions System Simulated On Irregular Shapes And Surfaces Model Petal Spot Patterns In Monkeyflower Hybrids, Emily Simmons, Arielle M. Cooley, Joshua R. Puzey, Gregory D. Conradi Smith

##### Biology and Medicine Through Mathematics Conference

No abstract provided.

2024 Clarkson University

#### Modeling And Control Of Drug Resistance In Cancer Dynamics, James Greene

##### Biology and Medicine Through Mathematics Conference

No abstract provided.

2024 Virginia Commonwealth University

#### Exploring The Evolution Of Altruistic Punishment Using A Pde Model For Multilevel Selection, Daniel Cooney

##### Biology and Medicine Through Mathematics Conference

No abstract provided.

Using Splines To Investigate The Effects Of Temperature On The Within-Mosquito Malaria Parasite Forms, 2024 Duke University

#### Using Splines To Investigate The Effects Of Temperature On The Within-Mosquito Malaria Parasite Forms, Alexander J. Diefes, Miranda I. Teboh-Ewungkem

##### Biology and Medicine Through Mathematics Conference

No abstract provided.

2024 Haverford College

#### Tracking Food Quality In Algae-Daphnia Ecosystems Through Stage Structured Models And Colimitation, Tomas Ascoli

##### Biology and Medicine Through Mathematics Conference

No abstract provided.

Identifiability For Pde Models Of Fluorescence Microscopy Experiments, 2024 Duke University

#### Identifiability For Pde Models Of Fluorescence Microscopy Experiments, Veronica Ciocanel

##### Biology and Medicine Through Mathematics Conference

No abstract provided.

Statistical Mobility Of Aggregated Microswimmers, 2024 Worcester Polytechnic Institute

#### Statistical Mobility Of Aggregated Microswimmers, Yonatan Ashenafi

##### Biology and Medicine Through Mathematics Conference

No abstract provided.

2024 Virginia Commonwealth University

#### Multiscale Modeling Of Microtubule Polarity Mechanisms Following Neuronal Axotomy, Hannah Scanlon

##### Biology and Medicine Through Mathematics Conference

No abstract provided.

A Comparative Analysis Of Source Identification Algorithms, 2024 Virginia Commonwealth University

#### A Comparative Analysis Of Source Identification Algorithms, Pablo A. Curiel

##### Biology and Medicine Through Mathematics Conference

No abstract provided.

2024 University of Maryland, Baltimore County

#### Chemoattractant Distribution In The Drosophila Egg Chamber, Lara Scott

##### Biology and Medicine Through Mathematics Conference

No abstract provided.

Impacts Of Hematodinium Infection In A Seasonal Population Model Of The Chesapeake Bay Blue Crab, 2024 William & Mary

#### Impacts Of Hematodinium Infection In A Seasonal Population Model Of The Chesapeake Bay Blue Crab, Gwendolyn R. Sargent, Romuald Lipcius, Leah Shaw, Junping Shi, Jeffrey D. Shields

##### Biology and Medicine Through Mathematics Conference

No abstract provided.