Write a detailed overview article of four pages or more on partial differential equations.

You must use at least three different sources. Some options are : Any textbooks on the subject and or The Internet: For instance, Wikipedia.

The article must be in simple language. Use correct mathematical writing style. It is very important to use correct referencing techniques. Provide in$-$text references whenever you use something from a source, even if it is only an idea. Beware of plagiarism.

The document should include the following: A table of contents;

Sections and subsections to structure the content logically;

A complete list of references and in$-$text references;

An index consisting of key terms and page numbers.

The content should include at least the following:

An explanation of what the concept is $($definitions$,$ etc.$)$;

Applicable mathematical formula and$/$or derivations;

Methods for solving the PDEs

Applicable figures or tables, as relevant $\{$ numbered and with captions provided;

Where they are used in practice;

An example of a practical application. do not forget to use in$-$text referencing and providing a complete bibliography at the end. use recent sources. finally also write your results in latex and provide bibtex codes.