- Numerical partial differential equations
- Geometric partial differential equations
- List of nonlinear partial differential...
- Differential calculus
- Lagrangian mechanics
- Partial differential equation
- Differential equation
- Hyperbolic partial differential equation
- Numerical ordinary differential equati...
- Elliptic operator

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## Partial differential equations

Partial **differential equations** (PDEs) are the most common method by which we model physical problems in engineering. Finite element methods are one of many ways of solving PDEs. This handout reviews the basics of PDEs and discusses some of the classes of PDEs in brief. The contents are based

**wikiversity.org**| 2018/6/19 2:24:17

## Continuum mechanics/Partial differential equations

Partial **differential equations** (PDEs) are the most common method by which we model physical problems in engineering. Finite element methods are one of many ways of solving PDEs. This handout reviews the basics of PDEs and discusses some of the classes of PDEs in brief. The contents are based

**wikiversity.org**| 2018/2/21 3:19:11

## Ordinary differential equations

Differential **equations** serve as mathematical models of physical processes. This course is intended to be an introduction to ordinary **differential equations** and their solutions. A **differential** equation (DE) is an equation relating a function to its derivatives. If the function is of only

**wikiversity.org**| 2016/6/21 2:31:28

## Quaternionic Differential Equations

Generalized field **equations** hold for all basic fields. Generalized field **equations** fit best in a quaternionic setting. Quaternions consist of a real number valued scalar part and a three-dimensional spatial vector that represents the imaginary part. The multiplication rule of quaternions

**wikiversity.org**| 2017/10/31 5:38:40

## Boundary Value Problems

Welcome to An Introduction to Boundary Value Problems (Orthogonal Functions and **Partial Differential Equations** ) . Contents 1 For those interested in editing this course, some of thoughts on how this course is supposed to work. 2 Course Introduction 3 Prerequisites 4 Outline

**wikiversity.org**| 2018/2/13 2:48:32

## Partial differential equations/Laplace Equation

The Laplace equation is a basic PDE that arises in the heat and diffusion **equations** . The Laplace equation is defined as: ∇ 2 u = 0 ⇒ ∂ 2 u ∂ x 2 + ∂ 2 u ∂ y 2 + ∂ 2 u ∂ z 2 = 0 . {\displaystyle

**wikiversity.org**| 2018/3/27 4:02:43

## Partial differential equations/Poisson Equation

Appears in almost every field of physics. Solution to Case with 4 Homogeneous Boundary Conditions [ edit ] Let's consider the following example, where u x x + u y y = F ( x , y ) , ( x , y ) ∈ [ 0 , L ] × [ 0 , M ] . {\displaystyle u_

**wikiversity.org**| 2018/7/16 4:40:55

## Nonlinear finite elements/Partial differential equations

Partial **differential equations** (PDEs) are the most common method by which we model physical problems in engineering. Finite element methods are one of many ways of solving PDEs. This handout reviews the basics of PDEs and discusses some of the classes of PDEs in brief. The contents are based

**wikiversity.org**| 2018/6/12 5:51:25

## Introduction to finite elements/Partial differential equations

**differential equations** (PDEs) are the most common method by which we model physical problems in engineering. Finite element methods are one of many ways of solving PDEs. This handout reviews the basics of PDEs and discusses some of the classes of PDEs in brief. The contents are based

**wikiversity.org**| 2018/4/10 1:55:35

## Mathematical Methods in Physics/Introduction to 2nd order differential equations

What are **differential equations** ? Why are they so important in physics? The answer to these questions will become more apparent as the course goes on, but to provide motivation, for now we will say that a **differential** equation is an equation where derivatives of a function appear (we will

**wikiversity.org**| 2017/10/20 20:56:11