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List of Posts
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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.
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ODEs 7-2 (PDEs): Heat Equation (Part 1)
Deriving the heat equation and how to solve it by Separation of Variables.
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ODEs 7-1 (PDEs): Three Major Types of PDEs, Boundary Conditions
Introduction to PDEs: Three major types of PDEs: Parabolic, Elliptic, Hyperbolic; Types of boundary conditions.
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ODEs 6-11: Modified Bessel Equation/Functions
Modified Bessel equation/functions as an extension of the Bessel equation.
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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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