Ebook Pharmacology for health professionals (2nd edition) Part 1

... solutions 7 12 24 28 32 35 44 48 50 71 71 72 73 75 80 91 102 10 7 11 4 14 1 14 1 14 4 14 5 14 7 15 1 15 3 16 0 viii The Finite Element Method Further topics in the finite element method 5 .1 The variational ... Consider the equation (2 .13 ) −u = f, < x < 1, 21 Weighted residual and variational methods Table 2.3 The integrals for the Galerkin method i, j vi Lvj dx and 10 15 21 15 10 10 5 84 10 10 35 14 84 15 10 5 ... 24 c0 c1 = , giving c0 = 12 , c1 = 16 The approximate solution is then u 1 (x) = x (1 − x) (1 + 2x) 12 Example 2.6 The final method to be considered is the Galerkin method In this method the integral...

... + 32 (1 + 2U2 + U3 )U2 − 32 (U2 + U3 )U3 = − , − 32 (U2 + U3 ) + 32 (U2 + 2U3 )U3 = − Solving these yields U 22 = 49 , U 32 = 19 21 2 The Finite Element Method Just as in Example 5.5, the positive ... after the conditions U11 = 0, U21 = 29 , U31 = 89 , U41 = 2, U 12 = 1, U 42 = are enforced, becomes ⎤ ⎥ ⎢ ⎢ U 22 ⎥ + ⎣ U 32 ⎦ ⎡ which yields U 22 = 11 , U 32 = 17 29 46 29 29 46 29 ⎡ ⎤ ⎡ ⎤ 0 2 ... Performing the integrations, ⎤ ⎡ 156 22 h 54 −13h kh ⎢ 4h2 13h −3h2 ⎥ ⎥ + EI ⎢ ke = ⎣ 156 22 h ⎦ h3 420 sym 4h2 fe = fh [−6 12 −h h dξ, 4EI N N h2 i j ⎡ ⎢ ⎢ ⎣ 12 − 12 −6h 12 6h 4h2 sym ⎤ 6h 2h2 ⎥ ⎥,...

... metal-metal bonding is present MX2 compounds either have layer structures (e.g TiS2, TiSe2, TiTe2, all CdI2 types) or structures containing diatomic ions (e.g FeS2 has S 22 units and so is formally ... E-E bonding are known (see Topic D5) CaC2 has C 22 ions (isoelectronic with N2) and reacts with water to give ethyne C2H2 On the other hand, KSi and CaSi2 are Zintl compounds with single-bonded ... polyanionic species (e.g P24− isoelectronic with S 22 in Sr2P2, and P73− in Na3P7), although the bonding is certainly not fully ionic Section F Chemistry of nonmetals F7 OXYGEN Key Notes The element...