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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
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.
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