Unformatted text preview: 1 and 3 over the interval [0, 2], using the trapezoidal rule predictor-corrector with a sequence of grids h = 1/4, 1/8, and 1/16. Produce an orderly table of ( x n , y n ) pairs and discuss the errors. 5. For the model of the tumor growth, take λ = μ = 1, a = 0.25, S i = 0.8 and σ = 0.25. Use the trapezoidal predictor-corrector to solve the differential equation, using h = 1/16, and show that the tumor radius approaches a limiting value as t → ∞ . σ μ λσ 4 2 3 1 ) ( ' 2 2 + + +-= R R R S t R i a R = ) ( ,...
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- Spring '08
- Numerical Analysis, How to Solve It, trapezoidal rule predictor-corrector, initial value problems.