# Learn the Method of Lines: Textbook Resources for Industrial Problem Solving

• DEvens
In summary, the conversation is about finding good resources to learn about the method of lines. The client has requested a proposal for a contract that involves using the method of lines to solve numerical problems. The speaker suggests checking out Wikipedia for references and also recommends searching for tutorials on the topic. They also mention posting in a math forum for help.
DEvens
Gold Member
Can anybody suggest good resources for me to learn about the method of lines? I have budget to buy textbooks.

The boss has received a "request for proposal" from a client with deep pockets. That means they want us to submit a bid for a contract.

The client wants us to apply the method of lines to solving a standard category of numerical problems in our industry. Ordinarily this kind of problem is solved using a variety of simplification assumptions. It would seem that somebody has noticed that computers have gotten faster in the last 20 years, so we should be able to do better.

try googling "method of lines" tutorial (note that only "method of lines" is quoted)

Or, post this in one of the math forums.

DEvens

## 1. What is the Method of Lines?

The Method of Lines is a mathematical technique used in numerical analysis for solving partial differential equations (PDEs). It involves discretizing the PDE into a system of ordinary differential equations (ODEs) and then applying numerical methods to solve the resulting ODEs.

## 2. How is the Method of Lines used in industrial problem solving?

The Method of Lines is commonly used in industrial problem solving because it allows for the efficient and accurate numerical solution of complex PDEs. This makes it a valuable tool for modeling and simulating a wide range of industrial processes, such as heat transfer, fluid dynamics, and chemical reactions.

## 3. Are there any limitations to the Method of Lines?

Like any numerical method, the Method of Lines has its limitations. It may not be suitable for all types of PDEs, particularly those with highly discontinuous solutions. Additionally, the accuracy of the method can be affected by the choice of discretization and numerical techniques used.

## 4. What are some resources for learning the Method of Lines?

There are many resources available for learning the Method of Lines, including textbooks, online courses, and academic papers. Some recommended textbooks include "The Method of Lines: Integration of Partial Differential Equations" by Peter Fritzson and "Solving PDEs in C++: Numerical Methods in a Unified Object-Oriented Approach" by Yair Shapira.

## 5. How can I apply the Method of Lines in my own research or work?

If you are interested in using the Method of Lines in your own research or work, it is important to have a strong understanding of the underlying mathematical concepts and numerical techniques involved. It may also be helpful to consult with experts in the field or take a course specifically focused on the method. Additionally, there are various software tools available that can assist with implementing the Method of Lines for specific applications.

Replies
38
Views
8K
Replies
10
Views
3K
Replies
27
Views
9K
Replies
1
Views
20K
Replies
1
Views
16K
Replies
1
Views
23K
Replies
1
Views
19K
Replies
1
Views
25K
Replies
2
Views
65K
Replies
13
Views
3K