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2E03 Lecture 30 - Ch.25 Runge-Kutta Methods.pdf

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Department
Civil Engineering
Course
CIVENG 2I03
Professor
Cameron Churchill
Semester
Winter

Description
25.3 Run MAhods RK RK mAho achieve lhe aowrac e Calc higher Roach General Form: h )h 25 28 Lt In cre m ent functon 1 29.2a he general fos m which con be interpreted as a avec Ls where e, als are Cen and the ks are LDwhere and k are sans kls are re car ence. s. Ele each k is a tunchina evolu chen, this nesuscence makes k meghods ett chent cale RK meg has can be dev ana LTT number of ms in increment as see by a 25.3 Run MAhods RK RK mAho achieve lhe aowrac e Calc higher Roach General Form: h )h 25 28 Lt In cre m ent functon 1 29.2a he general fos m which con be interpreted as a avec Ls where e, als are Cen and the ks are LDwhere and k are sans kls are re car ence. s. Ele each k is a tunchina evolu chen, this nesuscence makes k meghods ett chent cale RK meg has can be dev ana LTT number of ms in increment as see by aFirst RK wl ne L toe Eden method Once n is chosen values of a 4erm, are evalute in TS expans un The second-ordes RK 25.30) where LP Value The 25.30 are evaluded equal TsS expanhan 40 yhe second-order 4 seen 2-order HThnue ea ase derived to be evalue br anknowns a value is assumed fos one the unknow S to solve tur dahe
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