Analisis Numerico Final.pptx
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π ο§ β«π πΧ¬β¬
π¦β² π₯ = π π₯ ,
π₯ ππ₯ π¦ π =0
β«π Χ¬βͺ π +β¬Χ¬β¬ β«πβͺπΌ = πββ¬β¬ β«βͺ2β¬β¬
POLINOMIOS DE LEGENDRE
ππ+1
2π + 1 π₯ππ π₯ β πππβ1(π₯α» π₯ = π+1
FORMULA:
CONDICIONES:
REEMPLAZANDO EN LA FORMULA:
FORMULA:
CON
EvaluΓ© la siguiente integral, utilizando las formulas de cuadratura de gauss-legendre con 2,3 y 4 puntos. 3
π₯
π π πππ₯ ΰΆ± ππ₯ 2 1 + π₯ 0
π¦β² π₯ = π π₯ ,
π₯ ππ₯ π¦ π =0
β«π Χ¬βͺ π +β¬Χ¬β¬ β«πβͺπΌ = πββ¬β¬ β«βͺ2β¬β¬
POLINOMIOS DE LEGENDRE
ππ+1
2π + 1 π₯ππ π₯ β πππβ1(π₯α» π₯ = π+1
FORMULA:
CONDICIONES:
REEMPLAZANDO EN LA FORMULA:
FORMULA:
CON
EvaluΓ© la siguiente integral, utilizando las formulas de cuadratura de gauss-legendre con 2,3 y 4 puntos. 3
π₯
π π πππ₯ ΰΆ± ππ₯ 2 1 + π₯ 0
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