ELM Numerl Alss Dr Murrem Merme INTEROLATION ELM Numerl Alss Some of te otets re dopted from Luree V. Fusett Appled Numerl Alss usg MATLAB. rete Hll I. 999
ELM Numerl Alss Dr Murrem Merme Tod s leture eewse ler terpolto eewse qudrt terpolto Cu sple terpolto
Sple Iterpolto eewse Ler Iterpolto Smplest form of peewse poloml terpolto Iterpolte te dt wt peewse ler futo wt pots: dt of Set ] [ ] [ ] [ sutervls tree Defe I I I ELM Numerl Alss Dr Murrem Merme
ELM Numerl Alss Dr Murrem Merme eewse Ler Iterpolto Emple : eewse Ler Iterpolto Usg [ ] [ ] Futo s otuous ut ot smoot
eewse Qudrt Iterpolto Nodes: Were te tervls meet to e te mdpots etwee te dt pots were te futo vlues re gve roessg: dt pots Defe ode pots Spg etwee oseutve dt pots Reltosps: wt futos tervls gve pots ELM Numerl Alss Dr Murrem Merme
eewse Qudrt Iterpolto We defe Se Equtos t te teror odes mpose otut odto o te polomls ; ]: [ o ; ]: [ o ; ]: [ o ; ]: [ o ; : ; : ; : for terefore futos tervls gve pots ELM Numerl Alss Dr Murrem Merme
eewse Qudrt Iterpolto Equtos t te teror odes [mpose otut odto o te frst dervtve of te polomls] We ve equtos & 8 uow oeffets ; : ; : ; : d gves gves Settg d determe We Se. Equtos for te oeffets t te ero slope odtos t te ed pots of te tervl 7 ELM Numerl Alss Dr Murrem Merme
ELM Numerl Alss Dr Murrem Merme 8 eewse Qudrt Iterpolto Emple Dt A pots:.79.7 eewse terpoltg poloml.77.7..9 o [..] o [..] o [..] o [..] r. Soluto :oeffe ts : Usg Guss ellmto [.79.77.7.7..9]
eewse Cu Iterpolto Cu sples peewse u poloml Clulto of te oeffets of u poloml Cu sple futo S Spg etwee vlues...... su tervls gve pots toorder. up wt otuous dervtve u A peewse teform : Splefuto of S 9 ELM Numerl Alss Dr Murrem Merme
eewse Cu Iterpolto te u futo s From defto of Determe te vlue of d. we wrte... For d ELM Numerl Alss Dr Murrem Merme
ELM Numerl Alss Dr Murrem Merme eewse Cu Iterpolto Costruto of u sple... : equtos for uows... Nturl u sple ssgs d dervtve s ero t te edpots d
Nturl Cu Sple Iterpolto Emple ; : ; : ; : s follows : Te equto for u sple. turl for d for e tervls 8. d pots : Cosder dt.8.7.8 8 8.. d Susttutg te vlues for.7.87.7 gves for Solvg 8..7.87.7 gves for Solvg ELM Numerl Alss Dr Murrem Merme
ELM Numerl Alss Dr Murrem Merme Nturl Cu Sple Iterpolto Te u sple smplfes to :.7.7.7.9.7.9 S.9.7.9.7.7.7 8
ELM Numerl Alss Dr Murrem Merme Ruge Futo f [....]; [.8.79..79.8]; Emple for... Here..78.77.....78.87...... S.87..78......78..77... As osdered turl u sple 8.8.88 8.8 = 8.87 = -.8 = 8.87 Solvg for & gves =.77 = -. =. = -. = -. =. = -. =.77
ELM Numerl Alss Dr Murrem Merme Cu Sple Iterpolto Ceml reto of dt Emple [......9......9.] [...7.9....7.9.9...] Coluso: Curve s smooter t ger degree poloml [ Fg. 8.] Addtol dt pots do ot rell mprove te ppere of orgl urve [Fg. 8.]
ELM Numerl Alss Dr Murrem Merme Cu Sple Iterpolto Emple : Dffult dt Dt pots: [.... ] [.87.87 ]... 7 Here 8. Solvg for & gves = =. = -. =. =.89 =. 7 = -. 8 =. As osdered turl u sple..88 7.7. 7.7 7.88 7. = -.88 = 7. = -.7 =.8 = -.7 = 7. 7=-.88 8 = =. = -. =. =.89 =. =-. 7 =. 8 =
Resultg peewse futo mde te followg poloml......8......8 7........ 7......8........8......................... 8 7 Cu Sple Iterpolto 7 ELM Numerl Alss Dr Murrem Merme