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Mathematical Methods for PDEs

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03-08-2023

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 be used to solved PDEs

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Lecture notes

Integral Transforms 2022/23

General approach to solve separation of variables problems

Orthogonality and eigenvalue problems

Series solutions to ODEs: the Frobenius method

Introduction to PDEs and separation of variables

Aug 2023

2022/2023

£5.99

Subjects

Mathematical methods
Pdes
2022/23
Partial differential equations
Fourier transform
Laplace transform
Integral trasforms
Separation of variables
Solving pdes
Examples
Orthogonality
Eigenvalue problems
Eigenvalues
Eigenfunctions
Sturm-liouville problems
Fourier-bessel series
Fourier-legendre series
Generalised fourier series
Inhom
Odes
Ordinary differential equations
Series solution of odes
Frobenius method
Separation of variables
Coordinate systems
Polar coordinates
Spherical coordinates
Laplace equation
Heat equation
Wave equation

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Mathematical Methods for PDEs

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