Perform an internet search on the use of numerical methods for solving complex engineering problems and...

  

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Perform an internet search on the use of numerical methods for solving complex engineering problems and report the outcomes. You are expected to find real-life applications o numerical/computational methods. The document should be of 600-800 words, 3-5 figures and a reference list. The reference list must have at least 5 sources, each of which are properly cited within the text. Part 2: Develop a MATLAB program which implements the classical fourth-order Runge- Kutta method to numerically solve ordinary differential equations. - You must use MATLAB. - Your code must have suitable comments. - You cannot use built-in functions. Verify the code by solving dy =40.9x, y(0)=2 dx Use different time steps to integrate the equation above from x = 0 to x = 10. Compare your results with the exact solution. As the next step, modify your code to solve the following system: dy dy, =-0.3y, 4-0.2y,-0.1y, y,(0) = 4, y (0)=6 dx dx Perform an internet search on the use of numerical methods for solving complex engineering problems and report the outcomes. You are expected to find real-life applications o numerical/computational methods. The document should be of 600-800 words, 3-5 figures and a reference list. The reference list must have at least 5 sources, each of which are properly cited within the text. Part 2: Develop a MATLAB program which implements the classical fourth-order Runge- Kutta method to numerically solve ordinary differential equations. - You must use MATLAB. - Your code must have suitable comments. - You cannot use built-in functions. Verify the code by solving dy =40.9x, y(0)=2 dx Use different time steps to integrate the equation above from x = 0 to x = 10. Compare your results with the exact solution. As the next step, modify your code to solve the following system: dy dy, =-0.3y, 4-0.2y,-0.1y, y,(0) = 4, y (0)=6 dx dx