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liangzilixueͳæ (СÓÐÃûÆø)
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¸½¼þÖÐÊǺ¯ÊýµÄ±í´ïʽ¼°Ïà¹ØËµÃ÷£¬ÏÂÃæÊdzÌÐò£¬Âé·³¸ßÊÖ°ïæ¿´Ï£¬Ð»Ð»ÏÈ£¡ ÁíÍ⻹ÓÐÒ»¸öÎÊÌ⣺ÔÚMathematicaÖÐÈçºÎ¼ÆËãHankelÄæ±ä»»£¿ << PlotLegends` Clear["`*"] Mittag = 0; For[i = 0, i < 10, i++, Mittag = Mittag + t^i/Gamma[alpha*i + beta]]; Interme = 0; For[k = 0, k < 6, k++, For[m = 0, m <= k, m++, Interme2 = 0; Interme2 = D[Mittag, {t, k}] /. {t -> -t^alpha/lambda, beta -> alpha - beta*m + k + 2}; Interme = Interme + (-1)^k*(varepsilon^2 + eta^2)^(k + 1)*lambdat^m* t^(alpha*k + alpha - beta*m + k + 1)* Interme2/lambda^(k + 1)/m!/(k - m)!; ] ] pp1 = BesselJ[varepsilon*r, 1]*(1 - Interme) /. {alpha -> 0.5, beta -> 0.8, eta -> 1, lambda -> 6, lambdat -> 4, t -> 1}; pp2 = BesselJ[varepsilon*r, 1]*(1 - Interme) /. {alpha -> 0.5, beta -> 0.8, eta -> 1, lambda -> 6, lambdat -> 4, t -> 5}; pp3 = BesselJ[varepsilon*r, 1]*(1 - Interme) /. {alpha -> 0.5, beta -> 0.8, eta -> 1, lambda -> 6, lambdat -> 4, t -> 10}; \[Omega]1 = Integrate[pp1, {varepsilon, 0, 100}] \[Omega]2 = Integrate[pp2, {varepsilon, 0, 100}] \[Omega]3 = Integrate[pp3, {varepsilon, 0, 100}] Plot[{\[Omega]1, \[Omega]2, \[Omega]3}, {r, 0, 5}, AxesOrigin -> {0, 0}, Frame -> True , FrameLabel -> {r, \[Omega]}, PlotStyle -> {Black, Red, Blue}, PlotLegend -> {"t=1", "t=5", "t=10"}][ Last edited by liangzilixue on 2013-3-10 at 09:37 ] |
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