Write a computer program to using Simpson's rule (Have to revise)
- To: mathgroup at smc.vnet.net
- Subject: [mg74121] Write a computer program to using Simpson's rule (Have to revise)
- From: "Evanescence" <origine26 at yahoo.com.tw>
- Date: Mon, 12 Mar 2007 04:32:29 -0500 (EST)
Hello Dear all: My questions are as follows: First I definite as follows functions. B[c_, m_] function of c, m A[c_, m_] function of c, m F[c_] function of c G[c_] function of c K[n_, c_] function of n, c Z[c_] function of c U[c_] function of c Then I want to write a computer program about Simpson's 1/3 rule that can express below function L[m_, n_] :=(1/3)*((16-0)/32)*(0 +4(((1/2)*K[n, 1/2] )*(B[1/2, m]*F[1/2]*(Z[1/2])+2*( A[1/2, m]-B[1/2, m]*G[1/2])*U[1/2])) +2 (((1)*K[n, 1] )*(B[1, m]*F[1]*(Z[1])+2*( A[1, m]- B[1,m]*G[1])*U[1])) +4(((3/2)*K[n, 3/2] )*(B[3/2, m]*F[3/2]*(Z[3/2])+2*( A[3/2, m]-B[3/2, m]*G[3/2])*U[3/2])) +2(((2)*K[n, 2] )*(B[2, m]*F[2]*(Z[2])+2*( A[2, m]-B[2, m]*G[2])*U[2])) +4....................................................................... +(((16)*K[n, 16] )*(B[16, m]*F[16]*(Z[16])+2*( A[16, m]-B[16, m]*G[16])*U[16]))) the 16 is upper limit of integration and the 0 is lower limit of integration subdivision is 1/2 I want to write a computer program using the Simpson's rule that can choose the subdivision by myself(maybe can choose 0.001 or 0.002 etc...)and upper and lower limit can choose by myself too,final can express the above function. Thank you Evanescence 2007,3,12