Problem 1. ODES 1) What is the relationship between the local truncation error of an ODE method for computing x(t+h) and
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Problem 1. ODES 1) What is the relationship between the local truncation error of an ODE method for computing x(t+h) and
Problem 1. ODES 1) What is the relationship between the local truncation error of an ODE method for computing x(t+h) and a Taylor series expansion of x(t+h)? 2) Describe a predictor-corrector method for the solution of ODEs of an order at least comparable to the RK4 method. What is the order of the method you describe? 3) Rewrite the system of equations below as a set of first order differential equations. x”” = 2x' +log(x”) + cos(x)
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