Question: please attach a matlab code. Thank you. Task 3: Create a Data Structure for Fourth-Order Runge-Kutta Methods (5 Pts) Create two data structures in MATLAB,

please attach a matlab code. Thank you.

Task 3: Create a Data Structure for Fourth-Order Runge-Kutta Methods (5 Pts) Create two data structures in MATLAB, each called Kutta. Place the first of these two structs in file theRungeKutta.m and the second struct in file KuttaPreferred.m. The first is to be a repository for the coefficients of the' Runge-Kutta method, while the second is a repository for Kutta's preferred method. By adopting this approach it becomes easy to introduce any four-stage Runge-Kutta method into MATLAB. These structs are to have constituents: Kutta Field Description bl The weight of quadrature associated with the first stage. b2The weight of quadrature associated with the second stage. b3The weight of quadrature associated with the third stage. b4 |The weight of quadrature associated with the fourth stage. c1 The location where the ODE of the second stage is evaluated at. c2 The location where the ODE of the third stage is evaluated at. c3 The location where the ODE of the fourth stage is evaluated at. A11 Weight of influence of the first stage in evaluating the ODE for the second A21 |Weight of influence of the first stage in evaluating the ODE for the third A22|Weight of influence of the second stage in evaluating the ODE for the third A31 |Weight of influence of the first stage in evaluating the ODE for the fourth A32 Weight of influence of the second stage in evaluating the ODE for the fourth A33 Weight of influence of the third stage in evaluating the ODE for the fourth stage. stage. stage. stage. stage. stage. Task 3: Create a Data Structure for Fourth-Order Runge-Kutta Methods (5 Pts) Create two data structures in MATLAB, each called Kutta. Place the first of these two structs in file theRungeKutta.m and the second struct in file KuttaPreferred.m. The first is to be a repository for the coefficients of the' Runge-Kutta method, while the second is a repository for Kutta's preferred method. By adopting this approach it becomes easy to introduce any four-stage Runge-Kutta method into MATLAB. These structs are to have constituents: Kutta Field Description bl The weight of quadrature associated with the first stage. b2The weight of quadrature associated with the second stage. b3The weight of quadrature associated with the third stage. b4 |The weight of quadrature associated with the fourth stage. c1 The location where the ODE of the second stage is evaluated at. c2 The location where the ODE of the third stage is evaluated at. c3 The location where the ODE of the fourth stage is evaluated at. A11 Weight of influence of the first stage in evaluating the ODE for the second A21 |Weight of influence of the first stage in evaluating the ODE for the third A22|Weight of influence of the second stage in evaluating the ODE for the third A31 |Weight of influence of the first stage in evaluating the ODE for the fourth A32 Weight of influence of the second stage in evaluating the ODE for the fourth A33 Weight of influence of the third stage in evaluating the ODE for the fourth stage. stage. stage. stage. stage. stage

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