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#Legendre Polynomials

Showing: 9 courses

Orthogonality

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Explora conjuntos ortogonales, proyecciones, desigualdad de Cauchy-Schwarz, proceso de Gram-Schmidt, descomposición QR, regresión lineal, espacios de producto interno, polinomios de Legendre y series de Fourier.
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12 Lesons
3 hours 30 minutes
On-Demand
Free-Video
Dr. Gajendra Purohit

Special Functions - Bessels and Legendre

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Comprehensive exploration of Bessel's functions and Legendre polynomials, covering recurrence relations, proofs, and applications in partial differential equations.
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13 Lesons
3 hours 30 minutes
On-Demand
Free-Video
Dr. Gajendra Purohit

Differential Equation

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Comprehensive exploration of differential equations, covering first-order, higher-order, and partial differential equations, with various solution methods and applications in mathematical analysis.
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85 Lesons
23 hours
On-Demand
Free-Video
Dr. Gajendra Purohit

Series Solution

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Comprehensive exploration of series solutions for differential equations, covering Legendre polynomials, Frobenius method, Bessel's functions, and partial differential equations.
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25 Lesons
7 hours
On-Demand
Free-Video
Gautam Varde

Legendre's Equation and Polynomials - Series Solutions of ODEs

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Explore Legendre's equation, polynomials, and series solutions of ODEs through practical problem-solving and numerical examples.
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1 Lesons
12 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

The Laplace Equation in Spherical Coordinates: Illustrative Examples - Lecture 72

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Explore illustrative examples of the Laplace Equation in spherical coordinates, enhancing understanding of this fundamental concept in mathematical physics.
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1 Lesons
13 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

The Laplace Equation in Spherical Coordinates: Solution - Lecture 71

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Solve the Laplace equation in spherical coordinates, exploring methods and techniques for finding solutions to this fundamental partial differential equation.
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1 Lesons
12 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Introduction to Orthogonal Polynomials - Lecture 41

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Explore orthogonal polynomials: definition, properties, examples, and mapping to standard intervals. Gain insights into this fundamental mathematical concept.
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1 Lesons
17 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Legendre Polynomials: Rodrigues Formula, Orthogonality, and Normalization Integral - Lecture 48

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Explore Legendre polynomials, including Rodrigues formula, orthogonality, and normalization integral, to enhance your mathematical understanding.
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1 Lesons
19 minutes
On-Demand
Free-Video