partial-differential-equations
Legendre's equation and Legendre polynomials
taught
Recognize Legendre's equation as the polar-angle ODE from spherical separation (axisymmetric case), and construct its polynomial solutions P_n by direct substitution.
Taught in
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Legendre's equation and Legendre polynomials
Partial Differential Equations
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Choosing coordinates to match a domain's symmetry
Partial Differential Equations
Requires
- helmholtz-spherical-separation required
Required by
- Orthogonality of Legendre polynomials required
- Spherical harmonics required
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Local knowledge map
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