The nonlinear system 5a – x3 = 0, x2 – 0.25(sin x1 + cos x2) = 0 has a solution near (, )'. (a) Find a function G and a set D in R? such that G : D →→ R² and G has a unique fixed point in D. (b) Apply functional iteration to approximate the solution to within 10-5 in the l∞ norm.
The nonlinear system 5a – x3 = 0, x2 – 0.25(sin x1 + cos x2) = 0 has a solution near (, )'. (a) Find a function G and a set D in R? such that G : D →→ R² and G has a unique fixed point in D. (b) Apply functional iteration to approximate the solution to within 10-5 in the l∞ norm.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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