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Additional info for Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple, and MATLAB
49g, and the selection of a base point for the next step (either the O(h 4 ) or the O(h 5 ) base point—we will select the latter). 27a. 44c). 4 Tumor model of eqs. 48) (or eqs. 3f\n',h); fprintf(... 10f\n',... 2 are in the way that the RK constants are computed and used. In particular, while keeping in mind that y1 is the O(h) (Euler method) and y2 is the O(h 2 ) (modified Euler method), the base point is selected as the running value of y2: % % Store solution at base point yb=y2; tb=t; where the initial value of y2 was set previously as an initial condition.
0)*k35... 0)*k45... 0)*k55... 49i. We can note the following points: • Clearly there is a substantial degree of repetitive coding that could be streamlined through the use of 1D arrays (particularly in the calculation of k1 to k6 ). • The O(h 4 ) and O(h 5 ) solutions are computed independently, and we will next observe that they can be combined. 49i. , we are headed toward the development of general library routines. 0000000000 This output is relatively easy to discuss since there are a lot of zeros!
0)*k15... 0)*k35... 0)*k45... 0)*k55... 49i. We can note the following points: • Clearly there is a substantial degree of repetitive coding that could be streamlined through the use of 1D arrays (particularly in the calculation of k1 to k6 ). • The O(h 4 ) and O(h 5 ) solutions are computed independently, and we will next observe that they can be combined. 49i. , we are headed toward the development of general library routines. 0000000000 This output is relatively easy to discuss since there are a lot of zeros!