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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 = = 1, a = 0.25, S i = 0.8 and = 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 . 4 2 3 1 ) ( ' 2 2 + + +-= R R R S t R i a R = ) ( ,...
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This note was uploaded on 02/22/2010 for the course CHE 348 taught by Professor Chelikowsky during the Spring '08 term at University of Texas at Austin.
- Spring '08