Write Maple/Matlab code to solve the following BVP: y(t) = 4y(t) y(0) = 1 y(1) =...

     

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Write Maple/Matlab code to solve the following BVP: y"(t) = 4y(t) y(0) = 1 y(1) = 3 using central differences, stepsize h = 0.01 and 4 digits of accuracy. Show clearly all steps of the solution process. Answer the following questions: • Plot the matrix of the linear system (using for example Maple's matrix browser tool), to exhibit/visualize the tridiagonal structure of the matrix. • Solve the resulting tridiagonal linear system by LU decomposition. Show clearly the table of values as in the previous chapter on IVPS. • Plot the exact solution against the numerical solutions found by your code. Write Maple/Matlab code to solve the following BVP: y"(t) = 4y(t) y(0) = 1 y (1) = 3 using central differences, stepsize h = 0.01 and 4 digits of accuracy. Show clearly all steps of the solution process. Answer the following questions: • Plot the matrix of the linear system (using for example Maple's matrix browser tool), to exhibit/visualize the tridiagonal structure of the matrix. • Solve the resulting tridiagonal linear system by LU decomposition. Show clearly the table of values as in the previous chapter on IVPS. • Plot the exact solution against the numerical solutions found by your code. Write Maple/Matlab code to solve the following BVP: y"(t) = 4y(t) y(0) = 1 y(1) = 3 using central differences, stepsize h = 0.01 and 4 digits of accuracy. Show clearly all steps of the solution process. Answer the following questions: • Plot the matrix of the linear system (using for example Maple's matrix browser tool), to exhibit/visualize the tridiagonal structure of the matrix. • Solve the resulting tridiagonal linear system by LU decomposition. Show clearly the table of values as in the previous chapter on IVPS. • Plot the exact solution against the numerical solutions found by your code. Write Maple/Matlab code to solve the following BVP: y"(t) = 4y(t) y(0) = 1 y (1) = 3 using central differences, stepsize h = 0.01 and 4 digits of accuracy. Show clearly all steps of the solution process. Answer the following questions: • Plot the matrix of the linear system (using for example Maple's matrix browser tool), to exhibit/visualize the tridiagonal structure of the matrix. • Solve the resulting tridiagonal linear system by LU decomposition. Show clearly the table of values as in the previous chapter on IVPS. • Plot the exact solution against the numerical solutions found by your code.