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List of Posts
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ODEs 8-1: System of First-order Linear ODEs
Solving multiple coupled first-order linear ODEs at the same time, classification of dynamical systems.
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ODEs 7-11 (PDEs): Uniqueness Theorems for Second-order Linear PDEs
Uniqueness theorem for Laplace/Heat/Wave equations, Energy method.
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ODEs 7-10 (PDEs): Wave Equation (Part 2)
Wave equation in polar coordinates: the vibrating circular membrane problem.
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ODEs 7-9 (PDEs): Wave Equation (Part 1)
Discussing how to solve the wave equation over a finite one-dimensional string.
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ODEs 7-8 (PDEs): Laplace Equation in Spherical Coordinates
Solving the three-dimensional Laplace equation in spherical coordinates, spherical harmonics.
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ODEs 7-7 (PDEs): Laplace Equation in Cylindrical Coordinates
Solving the three-dimensional Laplace equation in cylindrical coordinates, which involves Bessel functions.
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ODEs 7-6 (PDEs): Laplace Equation in Polar Coordinates
Solving the two-dimensional Laplace equation in polar coordinates, and the Poisson integral formula.
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ODEs 7-5 (PDEs): Laplace Equation in Rectangular Coordinates
Solving the two-dimensional Laplace equation in rectangular coordinates, with four boundary conditions or a forcing.
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ODEs 7-4 (PDEs): Heat Equation (Part 3)
Solving the heat equation when there is a forcing term.
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ODEs 7-3 (PDEs): Heat Equation (Part 2)
Solving the heat equation with an infinite/semi-infinite domain, heat kernel.
Hello,
I’m Benjamin
Welcome to my Mathematical World! Here you can find posts and tutorials related to applied topics like Linear Algebra, Calculus, Differential Equations, and Programming. Feel free to leave comments and suggestions!
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