Ordinary differential equations | Numerical differential equations
Numerical methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs). Their use is also known as "numerical integration", although this term can also refer to the computation of integrals. Many differential equations cannot be solved exactly. For practical purposes, however – such as in engineering – a numeric approximation to the solution is often sufficient. The algorithms studied here can be used to compute such an approximation. An alternative method is to use techniques from calculus to obtain a series expansion of the solution. Ordinary differential equations occur in many scientific disciplines, including physics, chemistry, biology, and economics. In addition, some methods in numerical partial differential equations convert the partial differential equation into an ordinary differential equation, which must then be solved. (Wikipedia).
B01 An introduction to numerical methods
Most differential equations cannot be solved by the analytical techniques that we have learned up until now. I these cases, we can approximate a solution by a set of points, by using a variety of numerical methods. The first of these is Euler's method.
From playlist A Second Course in Differential Equations
Differential Equations | Exact Equations and Integrating Factors Example 2
We give an example of converting a non-exact differential equation into an exact equation. We use this to solve the differential equation.
From playlist Numerical Methods for Differential Equations
C07 Homogeneous linear differential equations with constant coefficients
An explanation of the method that will be used to solve for higher-order, linear, homogeneous ODE's with constant coefficients. Using the auxiliary equation and its roots.
From playlist Differential Equations
Boundary and Initial Value Problems | Lecture 60 | Numerical Methods for Engineers
Classification of partial differential equations into boundary value problems and initial value problems. Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-engineers.pdf Subscribe to my c
From playlist Numerical Methods for Engineers
Differential Equations | Euler's Method Example 1
We present an example of approximating the solution to a differential equation numerically using Euler's method.
From playlist Numerical Methods for Differential Equations
(8.1) A General Approach to Nonlinear Differential Questions
This video briefly describes the approach to gaining information about the solution to nonlinear differential equations. https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos
Introduction to Differential Equations
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Introduction to Differential Equations - The types of differential equations, ordinary versus partial. - How to find the order of a differential equation.
From playlist Differential Equations
Euler’s method - How to use it?
► My Differential Equations course: https://www.kristakingmath.com/differential-equations-course Euler’s method is a numerical method that you can use to approximate the solution to an initial value problem with a differential equation that can’t be solved using a more traditional method,
From playlist Differential Equations
C34 Expanding this method to higher order linear differential equations
I this video I expand the method of the variation of parameters to higher-order (higher than two), linear ODE's.
From playlist Differential Equations
Mod-01 Lec-01 Introduction and Overview
Advanced Numerical Analysis by Prof. Sachin C. Patwardhan,Department of Chemical Engineering,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Bombay: Advanced Numerical Analysis | CosmoLearning.org
Numerical Solution of Differential Equations: Oxford Mathematics 3rd Year Student Lecture
This introductory lecture for the 3rd Year Oxford Mathematics Undergraduate Course "Numerical Solution of Differential Equations I" by Professor Endre Suli introduces the subject through the various problems involving differential equations that arise in scientific and engineering applicat
From playlist Oxford Mathematics Student Lectures - Differential Equations
Mod-01 Lec-13 Solving ODE - BVPs and PDEs Using Finite Difference Method
Advanced Numerical Analysis by Prof. Sachin C. Patwardhan,Department of Chemical Engineering,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Bombay: Advanced Numerical Analysis | CosmoLearning.org
18. Differntial Algebraic Equations 2
MIT 10.34 Numerical Methods Applied to Chemical Engineering, Fall 2015 View the complete course: http://ocw.mit.edu/10-34F15 Instructor: James Swan Quiz 1 result was announced. Later the lecture continued in solving differential algebraic equations. License: Creative Commons BY-NC-SA Mor
From playlist MIT 10.34 Numerical Methods Applied to Chemical Engineering, Fall 2015
Introduction to Fractional Calculus
Fractional calculus develops the theory of differentiation and integration of any real or complex order. It extends the basic operations of classical calculus to fractional orders and studies the methods of solving differential equations involving these fractional-order derivatives and int
From playlist Wolfram Technology Conference 2022
Sascha Husa (1) - Introduction to theory and numerics of partial differential equations
PROGRAM: NUMERICAL RELATIVITY DATES: Monday 10 Jun, 2013 - Friday 05 Jul, 2013 VENUE: ICTS-TIFR, IISc Campus, Bangalore DETAL Numerical relativity deals with solving Einstein's field equations using supercomputers. Numerical relativity is an essential tool for the accurate modeling of a wi
From playlist Numerical Relativity
Dynamics, numerical analysis and some geometry – Christian Lubich – ICM2018
Plenary Lecture 18 Dynamics, numerical analysis and some geometry Christian Lubich Abstract: Geometric aspects play an important role in the construction and analysis of structure-preserving numerical methods for a wide variety of ordinary and partial differential equations. Here we revi
From playlist Plenary Lectures
Reinout Quispel: How to preserve properties of differential equations under discretization
SMRI Applied Mathematics seminar: How to discover properties of differential equations, and how to preserve those properties under discretization Reinout Quispel (La Trobe University) Abstract: This talk will be in two parts. The first part will be introductory, and will address the quest
From playlist SMRI Seminars
Martin Frank: Dynamical low-rank approximation for radiation transport
CIRM VIRTUAL EVENT Recorded during the meeting "Kinetic Equations: from Modeling, Computation to Analysis" the March 25, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide m
From playlist Virtual Conference
Introduction to Ordinary Differential Equations
In this video we introduce the concept of ordinary differential equations (ODEs). We give examples of how these appear in science and engineering as well as outline a roadmap for our video series focusing on ODEs. Topics and timestamps: 0:00 – Introduction 4:12 – Mathematical definition
From playlist Ordinary Differential Equations
B27 Introduction to linear models
Now that we finally now some techniques to solve simple differential equations, let's apply them to some real-world problems.
From playlist Differential Equations