The package starts showing the solution of important PDEs, then it focuses on ODEs and how to find series solutions, to then go back to PDEs and focus on how to solve PDEs using separation of variables and reducing them to ODEs that can be easily solved. Finally it show how integral transforms can ...
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Introduction to Fourier and Laplace transforms and their reverse transform and their use to solve partial differential equations
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Add to cartIntroduction to Fourier and Laplace transforms and their reverse transform and their use to solve partial differential equations
Providing a general approach to solve problems involving partial differential equations using the separation of variables method
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Add to cartProviding a general approach to solve problems involving partial differential equations using the separation of variables method
This document introduces to Sturm-Liouville eigenvalue problems, regular, singular and periodic, to find eigenvalues and eigenfunctions of partial differential equations. In introduces the concept of orthogonality of eigenfunctions. Then it focuses on how to generate the generalised Fourier series e...
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Add to cartThis document introduces to Sturm-Liouville eigenvalue problems, regular, singular and periodic, to find eigenvalues and eigenfunctions of partial differential equations. In introduces the concept of orthogonality of eigenfunctions. Then it focuses on how to generate the generalised Fourier series e...
This chapter focuses on ODEs, which are essential when solving PDEs. In particular it show how to solve ordinary differential equation using the Frobenius method, i.e. finding a series solution to the ODE.
Preview 2 out of 13 pages
Add to cartThis chapter focuses on ODEs, which are essential when solving PDEs. In particular it show how to solve ordinary differential equation using the Frobenius method, i.e. finding a series solution to the ODE.
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